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102222123212331 = 32211184043292483
BaseRepresentation
bin10111001111100001110001…
…010101111001111000101011
3111101221100011112011200202200
4113033201301111321320223
5101344301402020243311
61001224110051031243
730350206335613533
oct2717416125717053
9441840145150680
10102222123212331
112a6311826a0011
12b56b3ba29b523
13450667422b565
141b35811a384c3
15bc407308c556
hex5cf871579e2b

102222123212331 has 24 divisors (see below), whose sum is σ = 148355274115776. Its totient is φ = 67824505027440.

The previous prime is 102222123212327. The next prime is 102222123212353. The reversal of 102222123212331 is 133212321222201.

102222123212331 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 2 + 1 + 2 + 321 + 2 + 331 = 666.

It is not a de Polignac number, because 102222123212331 - 22 = 102222123212327 is a prime.

It is a super-2 number, since 2×1022221232123312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102222123212295 and 102222123212304.

It is not an unprimeable number, because it can be changed into a prime (102222123112331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349351416 + ... + 349643898.

It is an arithmetic number, because the mean of its divisors is an integer number (6181469754824).

Almost surely, 2102222123212331 is an apocalyptic number.

102222123212331 is a deficient number, since it is larger than the sum of its proper divisors (46133150903445).

102222123212331 is a wasteful number, since it uses less digits than its factorization.

102222123212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476743 (or 476740 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102222123212331 its reverse (133212321222201), we get a palindrome (235434444434532).

The spelling of 102222123212331 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred twenty-three million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 211 633 1899 184043 292483 552129 877449 1656387 2632347 38833073 61713913 116499219 185141739 349497657 555425217 53829448769 161488346307 484465038921 11358013690259 34074041070777 102222123212331