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12210100551441 = 3213264112523681
BaseRepresentation
bin1011000110101110001010…
…1101001011111100010001
31121020021101220022222001200
42301223202231023330101
53100022241220121231
641545124234021413
72400102450151242
oct261534255137421
947207356288050
1012210100551441
113988302498881
121452495b77869
136a753b4a3a00
14302d87318cc9
1516292ceb5be6
hexb1ae2b4bf11

12210100551441 has 36 divisors (see below), whose sum is σ = 19127644944876. Its totient is φ = 7502185267200.

The previous prime is 12210100551409. The next prime is 12210100551449. The reversal of 12210100551441 is 14415500101221.

12210100551441 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 0 + 100 + 5 + 514 + 41 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 869397732225 + 11340702819216 = 932415^2 + 3367596^2 .

It is not a de Polignac number, because 12210100551441 - 25 = 12210100551409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12210100551449) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5286880 + ... + 7236801.

It is an arithmetic number, because the mean of its divisors is an integer number (531323470691).

Almost surely, 212210100551441 is an apocalyptic number.

It is an amenable number.

12210100551441 is a deficient number, since it is larger than the sum of its proper divisors (6917544393435).

12210100551441 is a wasteful number, since it uses less digits than its factorization.

12210100551441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12524354 (or 12524338 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 12210100551441 its reverse (14415500101221), we get a palindrome (26625600652662).

The spelling of 12210100551441 in words is "twelve trillion, two hundred ten billion, one hundred million, five hundred fifty-one thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 169 507 641 1521 1923 5769 8333 24999 74997 108329 324987 974961 12523681 37571043 112713129 162807853 488423559 1465270677 2116502089 6349506267 8027679521 19048518801 24083038563 72249115689 104359833773 313079501319 939238503957 1356677839049 4070033517147 12210100551441