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131102121332 = 227131136434957
BaseRepresentation
bin111101000011001001…
…0111001110101110100
3110112101201202210212102
41322012102321311310
54121444120340312
6140121045241232
712320555434040
oct1720622716564
9415351683772
10131102121332
1150666803206
12214a9a03218
13c494318c30
1464b99db020
1536249b7ec2
hex1e864b9d74

131102121332 has 96 divisors (see below), whose sum is σ = 285373277952. Its totient is φ = 51315296256.

The previous prime is 131102121289. The next prime is 131102121391. The reversal of 131102121332 is 233121201131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26445398 + ... + 26450354.

It is an arithmetic number, because the mean of its divisors is an integer number (2972638312).

Almost surely, 2131102121332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131102121332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142686638976).

131102121332 is an abundant number, since it is smaller than the sum of its proper divisors (154271156620).

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

131102121332 is a wasteful number, since it uses less digits than its factorization.

131102121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131102121332 its reverse (233121201131), we get a palindrome (364223322463).

The spelling of 131102121332 in words is "one hundred thirty-one billion, one hundred two million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 113 182 226 364 452 643 791 1286 1469 1582 2572 2938 3164 4501 4957 5876 8359 9002 9914 10283 16718 18004 19828 20566 33436 34699 41132 58513 64441 69398 72659 117026 128882 138796 145318 234052 257764 290636 451087 508613 560141 902174 944567 1017226 1120282 1804348 1889134 2034452 2240564 3187351 3778268 3920987 6374702 6611969 7281833 7841974 12749404 13223938 14563666 15683948 22311457 26447876 29127332 41435563 44622914 50972831 82871126 89245828 101945662 165742252 203891324 290048941 360170663 580097882 720341326 1160195764 1440682652 2521194641 4682218619 5042389282 9364437238 10084778564 18728874476 32775530333 65551060666 131102121332