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20001021211120 = 245973331773777
BaseRepresentation
bin1001000110000110110011…
…10000111011000111110000
32121211002010120001101221211
410203003121300323013300
510110144042412223440
6110312201534125504
74133011644124525
oct443033160730760
977732116041854
1020001021211120
116411427059074
1222b03b9650894
13b2111ba39681
144d20a9b2b14c
1524a414856eea
hex1230d9c3b1f0

20001021211120 has 80 divisors (see below), whose sum is σ = 46995945379488. Its totient is φ = 7915542773760.

The previous prime is 20001021211051. The next prime is 20001021211121. The reversal of 20001021211120 is 2111212010002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×200010212111202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20001021211120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001021211121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25461672 + ... + 26235448.

Almost surely, 220001021211120 is an apocalyptic number.

20001021211120 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 20001021211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23497972689744).

20001021211120 is an abundant number, since it is smaller than the sum of its proper divisors (26994924168368).

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

20001021211120 is a wasteful number, since it uses less digits than its factorization.

20001021211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777218 (or 777212 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20001021211120 its reverse (2111212010002), we get a palindrome (22112233221122).

The spelling of 20001021211120 in words is "twenty trillion, one billion, twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3331 3880 6662 7760 13324 16655 26648 33310 53296 66620 133240 266480 323107 646214 773777 1292428 1547554 1615535 2584856 3095108 3231070 3868885 5169712 6190216 6462140 7737770 12380432 12924280 15475540 25848560 30951080 61902160 75056369 150112738 300225476 375281845 600450952 750563690 1200901904 1501127380 2577451187 3002254760 5154902374 6004509520 10309804748 12887255935 20619609496 25774511870 41239218992 51549023740 103098047480 206196094960 250012765139 500025530278 1000051060556 1250063825695 2000102121112 2500127651390 4000204242224 5000255302780 10000510605560 20001021211120