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22103113131132 = 223111247913418369
BaseRepresentation
bin1010000011010010010000…
…01101001110010001111100
32220021000222221212010221120
411001221020031032101330
510344114133430144012
6115002010251230540
74440616514463345
oct501511015162174
986230887763846
1022103113131132
117051972154470
12258b893a48450
13c444122cc667
14565b213c30cc
15284e4553c58c
hex141a4834e47c

22103113131132 has 48 divisors (see below), whose sum is σ = 56266982553600. Its totient is φ = 6697375836160.

The previous prime is 22103113131131. The next prime is 22103113131163. The reversal of 22103113131132 is 23113131130122.

It is a super-2 number, since 2×221031131311322 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22103113131131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5061957 + ... + 8356412.

It is an arithmetic number, because the mean of its divisors is an integer number (1172228803200).

Almost surely, 222103113131132 is an apocalyptic number.

22103113131132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22103113131132 is an abundant number, since it is smaller than the sum of its proper divisors (34163869422468).

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

22103113131132 is a wasteful number, since it uses less digits than its factorization.

22103113131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13430866 (or 13430864 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 22103113131132 its reverse (23113131130122), we get a palindrome (45216244261254).

The spelling of 22103113131132 in words is "twenty-two trillion, one hundred three billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 12479 24958 37437 49916 74874 137269 149748 274538 411807 549076 823614 1647228 13418369 26836738 40255107 53673476 80510214 147602059 161020428 295204118 442806177 590408236 885612354 1771224708 167447826751 334895653502 502343480253 669791307004 1004686960506 1841926094261 2009373921012 3683852188522 5525778282783 7367704377044 11051556565566 22103113131132