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102222101223231 = 3112445163267487
BaseRepresentation
bin10111001111100001110000…
…000010000001011100111111
3111101221100002222210112101120
4113033201300002001130333
5101344301330403120411
61001224103543442023
730350205650661423
oct2717416002013477
9441840088715346
10102222101223231
112a631171241300
12b56b3b2a56313
13450666c7cc962
141b3580cb52b83
15bc4071197106
hex5cf87008173f

102222101223231 has 24 divisors (see below), whose sum is σ = 149846767698432. Its totient is φ = 61938868794000.

The previous prime is 102222101223227. The next prime is 102222101223239. The reversal of 102222101223231 is 132322101222201.

It is not a de Polignac number, because 102222101223231 - 22 = 102222101223227 is a prime.

It is a super-2 number, since 2×1022221012232312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102222101223239) 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 23 ways as a sum of consecutive naturals, for example, 30018031 + ... + 33249456.

It is an arithmetic number, because the mean of its divisors is an integer number (6243615320768).

Almost surely, 2102222101223231 is an apocalyptic number.

102222101223231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102222101223231 is a deficient number, since it is larger than the sum of its proper divisors (47624666475201).

102222101223231 is a wasteful number, since it uses less digits than its factorization.

102222101223231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63271963 (or 63271952 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102222101223231 its reverse (132322101222201), we get a palindrome (234544202445432).

The spelling of 102222101223231 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred one million, two hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 11 33 121 363 4451 13353 48961 146883 538571 1615713 63267487 189802461 695942357 2087827071 7655365927 22966097781 281603584637 844810753911 3097639431007 9292918293021 34074033741077 102222101223231