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2231120100020 = 2257231016860341
BaseRepresentation
bin100000011101111001000…
…111101111101010110100
321220021220121002102012112
4200131321013233222310
5243023313221200040
64424543514510152
7320123143640450
oct40357107575264
97807817072175
102231120100020
11790238149809
123004a5735358
131325170160c6
1479db5a6b660
153d083582365
hex207791efab4

2231120100020 has 96 divisors (see below), whose sum is σ = 5642823384576. Its totient is φ = 724451904000.

The previous prime is 2231120100019. The next prime is 2231120100037. The reversal of 2231120100020 is 200010211322.

It is a happy number.

It is a super-3 number, since 3×22311201000203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2231120099968 and 2231120100004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3104951 + ... + 3755390.

It is an arithmetic number, because the mean of its divisors is an integer number (58779410256).

Almost surely, 22231120100020 is an apocalyptic number.

2231120100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231120100020 is an abundant number, since it is smaller than the sum of its proper divisors (3411703284556).

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

2231120100020 is a wasteful number, since it uses less digits than its factorization.

2231120100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860481 (or 6860479 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2231120100020 its reverse (200010211322), we get a palindrome (2431130311342).

The spelling of 2231120100020 in words is "two trillion, two hundred thirty-one billion, one hundred twenty million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 101 115 140 161 202 230 322 404 460 505 644 707 805 1010 1414 1610 2020 2323 2828 3220 3535 4646 7070 9292 11615 14140 16261 23230 32522 46460 65044 81305 162610 325220 6860341 13720682 27441364 34301705 48022387 68603410 96044774 137206820 157787843 192089548 240111935 315575686 480223870 631151372 692894441 788939215 960447740 1104514901 1385788882 1577878430 2209029802 2771577764 3155756860 3464472205 4418059604 4850261087 5522574505 6928944410 9700522174 11045149010 13857888820 15936572143 19401044348 22090298020 24251305435 31873144286 48502610870 63746288572 79682860715 97005221740 111556005001 159365721430 223112010002 318731442860 446224020004 557780025005 1115560050010 2231120100020