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10555122231 = 351719891511
BaseRepresentation
bin10011101010010001…
…00110001000110111
31000020121022202200000
421311020212020313
5133104102402411
64503212522343
7522365026053
oct116510461067
930217282600
1010555122231
114527100615
122066a803b3
13cc2a02274
14721b86c63
1541b9b3956
hex275226237

10555122231 has 96 divisors (see below), whose sum is σ = 17831923200. Its totient is φ = 6199649280.

The previous prime is 10555122187. The next prime is 10555122233. The reversal of 10555122231 is 13222155501.

10555122231 is a `hidden beast` number, since 105 + 551 + 2 + 2 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 10555122231 - 26 = 10555122167 is a prime.

It is a super-2 number, since 2×105551222312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10555122195 and 10555122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10555122233) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6984766 + ... + 6986276.

It is an arithmetic number, because the mean of its divisors is an integer number (185749200).

Almost surely, 210555122231 is an apocalyptic number.

10555122231 is a deficient number, since it is larger than the sum of its proper divisors (7276800969).

10555122231 is a wasteful number, since it uses less digits than its factorization.

10555122231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 10555122231 its reverse (13222155501), we get a palindrome (23777277732).

The spelling of 10555122231 in words is "ten billion, five hundred fifty-five million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 9 17 19 27 51 57 81 89 153 171 243 267 323 459 513 801 969 1377 1511 1513 1539 1691 2403 2907 4131 4533 4539 4617 5073 7209 8721 13599 13617 15219 21627 25687 26163 28709 28747 40797 40851 45657 77061 78489 86127 86241 122391 122553 134479 136971 231183 258381 258723 367173 367659 403437 410913 488053 693549 775143 776169 1210311 1464159 2080647 2286143 2325429 2328507 2555101 3630933 4392477 6241941 6858429 6976287 6985521 7665303 10892799 13177431 20575287 22995909 32678397 39532293 43436717 61725861 68987727 118596879 130310151 185177583 206963181 390930453 555532749 620889543 1172791359 3518374077 10555122231