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20011211111120 = 24517591226920327
BaseRepresentation
bin1001000110011001110010…
…01000010011101011010000
32121212001102201010221220112
410203030321020103223100
510110330430021023440
6110321005023100452
74133522315630015
oct443147110235320
977761381127815
1020011211111120
116415785a87829
1222b2382141728
13b22083b85bb8
144d27951a370c
1524a80e226965
hex123339213ad0

20011211111120 has 160 divisors (see below), whose sum is σ = 50104405612800. Its totient is φ = 7404975792128.

The previous prime is 20011211111107. The next prime is 20011211111123. The reversal of 20011211111120 is 2111111211002.

It is a junction number, because it is equal to n+sod(n) for n = 20011211111095 and 20011211111104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011211111123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984454397 + ... + 984474723.

It is an arithmetic number, because the mean of its divisors is an integer number (313152535080).

Almost surely, 220011211111120 is an apocalyptic number.

20011211111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20011211111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25052202806400).

20011211111120 is an abundant number, since it is smaller than the sum of its proper divisors (30093194501680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20011211111120 is a wasteful number, since it uses less digits than its factorization.

20011211111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32685 (or 32679 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 20011211111120 its reverse (2111111211002), we get a palindrome (22122322322122).

The spelling of 20011211111120 in words is "twenty trillion, eleven billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 59 68 80 85 118 136 170 236 272 295 340 472 590 680 944 1003 1180 1360 2006 2360 4012 4720 5015 8024 10030 12269 16048 20060 20327 24538 40120 40654 49076 61345 80240 81308 98152 101635 122690 162616 196304 203270 208573 245380 325232 345559 406540 417146 490760 691118 723871 813080 834292 981520 1042865 1199293 1382236 1447742 1626160 1668584 1727795 2085730 2398586 2764472 2895484 3337168 3455590 3619355 4171460 4797172 5528944 5790968 5996465 6911180 7238710 8342920 9594344 11581936 11992930 12305807 13822360 14477420 16685840 19188688 20387981 23985860 24611614 27644720 28954840 40775962 47971720 49223228 57909680 61529035 81551924 95943440 98446456 101939905 123058070 163103848 196892912 203879810 246116140 249391963 326207696 407759620 492232280 498783926 815519240 984464560 997567852 1246959815 1631038480 1995135704 2493919630 3990271408 4239663371 4987839260 8479326742 9975678520 14714125817 16958653484 19951357040 21198316855 29428251634 33917306968 42396633710 58856503268 67834613936 73570629085 84793267420 117713006536 147141258170 169586534840 235426013072 250140138889 294282516340 339173069680 500280277778 588565032680 1000560555556 1177130065360 1250700694445 2001121111112 2501401388890 4002242222224 5002802777780 10005605555560 20011211111120