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31122103122 = 23311199263287
BaseRepresentation
bin11100111111000001…
…011001101101010010
32222022221201122111000
4130333001121231102
51002214224244442
622144114402430
72151143340345
oct347701315522
988287648430
1031122103122
1112220685790
126046890416
132c1c9b4546
14171349c45c
15c223c8d4c
hex73f059b52

31122103122 has 64 divisors (see below), whose sum is σ = 75826944000. Its totient is φ = 9383513040.

The previous prime is 31122103097. The next prime is 31122103153. The reversal of 31122103122 is 22130122113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31122103095 and 31122103104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13438 + ... + 249849.

It is an arithmetic number, because the mean of its divisors is an integer number (1184796000).

Almost surely, 231122103122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31122103122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37913472000).

31122103122 is an abundant number, since it is smaller than the sum of its proper divisors (44704840878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31122103122 is a wasteful number, since it uses less digits than its factorization.

31122103122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263508 (or 263502 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31122103122 its reverse (22130122113), we get a palindrome (53252225235).

The spelling of 31122103122 in words is "thirty-one billion, one hundred twenty-two million, one hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 199 297 398 594 597 1194 1791 2189 3582 4378 5373 6567 10746 13134 19701 39402 59103 118206 263287 526574 789861 1579722 2369583 2896157 4739166 5792314 7108749 8688471 14217498 17376942 26065413 52130826 52394113 78196239 104788226 156392478 157182339 314364678 471547017 576335243 943094034 1152670486 1414641051 1729005729 2829282102 3458011458 5187017187 10374034374 15561051561 31122103122