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21000002102120 = 23515311813318911
BaseRepresentation
bin1001100011001011100011…
…01010100110001101101000
32202100120200020211201201002
410301211301222212031220
510223031001014231440
6112355133501414132
74265125425444356
oct461456152461550
982316606751632
1021000002102120
116767061799318
122431b3626a348
13b943a3b37322
14528596a907d6
152663d18b5115
hex131971aa6368

21000002102120 has 64 divisors (see below), whose sum is σ = 47285974679040. Its totient is φ = 8393607417600.

The previous prime is 21000002102099. The next prime is 21000002102207. The reversal of 21000002102120 is 2120120000012.

It is a happy number.

It is a super-3 number, since 3×210000021021203 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1110455465 + ... + 1110474375.

It is an arithmetic number, because the mean of its divisors is an integer number (738843354360).

Almost surely, 221000002102120 is an apocalyptic number.

21000002102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000002102120 is an abundant number, since it is smaller than the sum of its proper divisors (26285972576920).

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

21000002102120 is a wasteful number, since it uses less digits than its factorization.

21000002102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38586 (or 38582 counting only the distinct ones).

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

Adding to 21000002102120 its reverse (2120120000012), we get a palindrome (23120122102132).

The spelling of 21000002102120 in words is "twenty-one trillion, two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1531 3062 6124 7655 12248 15310 18133 18911 30620 36266 37822 61240 72532 75644 90665 94555 145064 151288 181330 189110 362660 378220 725320 756440 27761623 28952741 55523246 57905482 111046492 115810964 138808115 144763705 222092984 231621928 277616230 289527410 342913163 555232460 579054820 685826326 1110464920 1158109640 1371652652 1714565815 2743305304 3429131630 6858263260 13716526520 525000052553 1050000105106 2100000210212 2625000262765 4200000420424 5250000525530 10500001051060 21000002102120