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20011200022100 = 2252743739107177
BaseRepresentation
bin1001000110011001110000…
…11110000000011001010100
32121212001101221021120122002
410203030320132000121110
510110330414201201400
6110321003545254432
74133522122443350
oct443147036003124
977761357246562
1020011200022100
11641577a7a3451
1222b237a494418
13b220817a2751
144d2793918460
1524a80d285ed5
hex123338780654

20011200022100 has 144 divisors (see below), whose sum is σ = 51477558642048. Its totient is φ = 6609624053760.

The previous prime is 20011200022019. The next prime is 20011200022103. The reversal of 20011200022100 is 122000211002.

It is a happy number.

20011200022100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20011200022103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2356289 + ... + 6750888.

Almost surely, 220011200022100 is an apocalyptic number.

20011200022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011200022100 is an abundant number, since it is smaller than the sum of its proper divisors (31466358619948).

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

20011200022100 is a wasteful number, since it uses less digits than its factorization.

20011200022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9107314 (or 9107307 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20011200022100 its reverse (122000211002), we get a palindrome (20133200233102).

The spelling of 20011200022100 in words is "twenty trillion, eleven billion, two hundred million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 73 86 100 140 146 172 175 215 292 301 350 365 430 511 602 700 730 860 1022 1075 1204 1460 1505 1825 2044 2150 2555 3010 3139 3650 4300 5110 6020 6278 7300 7525 10220 12556 12775 15050 15695 21973 25550 30100 31390 43946 51100 62780 78475 87892 109865 156950 219730 313900 439460 549325 1098650 2197300 9107177 18214354 36428708 45535885 63750239 91071770 127500478 182143540 227679425 255000956 318751195 391608611 455358850 637502390 664823921 783217222 910717700 1275004780 1329647842 1566434444 1593755975 1958043055 2659295684 2741260277 3187511950 3324119605 3916086110 4653767447 5482520554 6375023900 6648239210 7832172220 9307534894 9790215275 10965041108 13296478420 13706301385 16620598025 18615069788 19580430550 23268837235 27412602770 28587428603 33241196050 39160861100 46537674470 54825205540 57174857206 66482392100 68531506925 93075348940 114349714412 116344186175 137063013850 142937143015 200112000221 232688372350 274126027700 285874286030 400224000442 465376744700 571748572060 714685715075 800448000884 1000560001105 1429371430150 2001120002210 2858742860300 4002240004420 5002800005525 10005600011050 20011200022100