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10102224231 = 3311311378009
BaseRepresentation
bin10010110100010001…
…11011010101100111
3222002001010011102000
421122020323111213
5131142132133411
64350233420343
7505225326531
oct113210732547
928061104360
1010102224231
114314495650
121b5b26a6b3
13c4cc2c498
146bb972851
153e1d51956
hex25a23b567

10102224231 has 64 divisors (see below), whose sum is σ = 16978636800. Its totient is φ = 5881075200.

The previous prime is 10102224229. The next prime is 10102224239. The reversal of 10102224231 is 13242220101.

It is a happy number.

10102224231 is a `hidden beast` number, since 10 + 10 + 222 + 423 + 1 = 666.

It is not a de Polignac number, because 10102224231 - 21 = 10102224229 is a prime.

It is a super-2 number, since 2×101022242312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102224239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1257355 + ... + 1265363.

It is an arithmetic number, because the mean of its divisors is an integer number (265291200).

Almost surely, 210102224231 is an apocalyptic number.

10102224231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10102224231 is a deficient number, since it is larger than the sum of its proper divisors (6876412569).

10102224231 is a wasteful number, since it uses less digits than its factorization.

10102224231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10102224231 its reverse (13242220101), we get a palindrome (23344444332).

The spelling of 10102224231 in words is "ten billion, one hundred two million, two hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 31 33 93 99 137 279 297 341 411 837 1023 1233 1507 3069 3699 4247 4521 8009 9207 12741 13563 24027 38223 40689 46717 72081 88099 114669 140151 216243 248279 264297 420453 744837 792891 1097233 1261359 2234511 2378673 2731069 3291699 6703533 8193207 9875097 12069563 24579621 29625291 34014223 36208689 73738863 102042669 108626067 306128007 325878201 374156453 918384021 1122469359 3367408077 10102224231