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131021134344 = 233219103929861
BaseRepresentation
bin111101000000101110…
…1111101101000001000
3110112012002101020121100
41322001131331220020
54121312402244334
6140105033341400
712315553160262
oct1720135755010
9415162336540
10131021134344
1150625018511
1221486867860
13c480601539
1464acd58b32
15361c81bc99
hex1e8177da08

131021134344 has 96 divisors (see below), whose sum is σ = 377152027200. Its totient is φ = 40973351040.

The previous prime is 131021134339. The next prime is 131021134369. The reversal of 131021134344 is 443431120131.

131021134344 is a `hidden beast` number, since 1 + 3 + 10 + 211 + 3 + 434 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324027 + ... + 605834.

It is an arithmetic number, because the mean of its divisors is an integer number (3928666950).

Almost surely, 2131021134344 is an apocalyptic number.

It is an amenable number.

131021134344 is an abundant number, since it is smaller than the sum of its proper divisors (246130892856).

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

131021134344 is a wasteful number, since it uses less digits than its factorization.

131021134344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929995 (or 929988 counting only the distinct ones).

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

Adding to 131021134344 its reverse (443431120131), we get a palindrome (574452254475).

The spelling of 131021134344 in words is "one hundred thirty-one billion, twenty-one million, one hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 103 114 152 171 206 228 309 342 412 456 618 684 824 927 1236 1368 1854 1957 2472 3708 3914 5871 7416 7828 11742 15656 17613 23484 35226 46968 70452 140904 929861 1859722 2789583 3719444 5579166 7438888 8368749 11158332 16737498 17667359 22316664 33474996 35334718 53002077 66949992 70669436 95775683 106004154 141338872 159006231 191551366 212008308 287327049 318012462 383102732 424016616 574654098 636024924 766205464 861981147 1149308196 1272049848 1723962294 1819737977 2298616392 3447924588 3639475954 5459213931 6895849176 7278951908 10918427862 14557903816 16377641793 21836855724 32755283586 43673711448 65510567172 131021134344