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131349877032 = 233117310167481
BaseRepresentation
bin111101001010100010…
…0000001000100101000
3110120000222222002210110
41322111010001010220
54123001032031112
6140201415414320
712326654350623
oct1722504010450
9416028862713
10131349877032
1150783643790
12215589843a0
13c503753c3a
146500890dba
15363b60713c
hex1e95101128

131349877032 has 128 divisors (see below), whose sum is σ = 366734977920. Its totient is φ = 38868480000.

The previous prime is 131349877019. The next prime is 131349877063. The reversal of 131349877032 is 230778943131.

It is a super-2 number, since 2×1313498770322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1912732 + ... + 1980212.

It is an arithmetic number, because the mean of its divisors is an integer number (2865117015).

Almost surely, 2131349877032 is an apocalyptic number.

131349877032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131349877032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183367488960).

131349877032 is an abundant number, since it is smaller than the sum of its proper divisors (235385100888).

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

131349877032 is a wasteful number, since it uses less digits than its factorization.

131349877032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67675 (or 67671 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 131349877032 in words is "one hundred thirty-one billion, three hundred forty-nine million, eight hundred seventy-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 101 132 146 202 219 264 292 303 404 438 584 606 803 808 876 1111 1212 1606 1752 2222 2409 2424 3212 3333 4444 4818 6424 6666 7373 8888 9636 13332 14746 19272 22119 26664 29492 44238 58984 67481 81103 88476 134962 162206 176952 202443 243309 269924 324412 404886 486618 539848 648824 742291 809772 973236 1484582 1619544 1946472 2226873 2969164 4453746 4926113 5938328 6815581 8907492 9852226 13631162 14778339 17814984 19704452 20446743 27262324 29556678 39408904 40893486 54187243 54524648 59113356 74971391 81786972 108374486 118226712 149942782 162561729 163573944 216748972 224914173 299885564 325123458 433497944 449828346 497537413 599771128 650246916 899656692 995074826 1300493832 1492612239 1799313384 1990149652 2985224478 3980299304 5472911543 5970448956 10945823086 11940897912 16418734629 21891646172 32837469258 43783292344 65674938516 131349877032