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131042315552 = 256779898693
BaseRepresentation
bin111101000001010111…
…0110000110100100000
3110112020120020100202112
41322002232300310200
54121333313044202
6140111111334452
712316231206131
oct1720256606440
9415216210675
10131042315552
1150635a75245
1221491981428
13c484b094b5
1464b1aadc88
15361e602b52
hex1e82bb0d20

131042315552 has 96 divisors (see below), whose sum is σ = 268164691200. Its totient is φ = 63002953728.

The previous prime is 131042315533. The next prime is 131042315567. The reversal of 131042315552 is 255513240131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15070118 + ... + 15078810.

It is an arithmetic number, because the mean of its divisors is an integer number (2793382200).

Almost surely, 2131042315552 is an apocalyptic number.

It is an amenable number.

131042315552 is an abundant number, since it is smaller than the sum of its proper divisors (137122375648).

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

131042315552 is an equidigital number, since it uses as much as digits as its factorization.

131042315552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8938 (or 8930 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 131042315552 its reverse (255513240131), we get a palindrome (386555555683).

The spelling of 131042315552 in words is "one hundred thirty-one billion, forty-two million, three hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 67 79 89 134 158 178 268 316 356 536 632 712 1072 1264 1424 2144 2528 2848 5293 5963 7031 8693 10586 11926 14062 17386 21172 23852 28124 34772 42344 47704 56248 69544 84688 95408 112496 139088 169376 190816 224992 278176 471077 582431 686747 773677 942154 1164862 1373494 1547354 1884308 2329724 2746988 3094708 3768616 4659448 5493976 6189416 7537232 9318896 10987952 12378832 15074464 18637792 21975904 24757664 46012049 51836359 61120483 92024098 103672718 122240966 184048196 207345436 244481932 368096392 414690872 488963864 736192784 829381744 977927728 1472385568 1658763488 1955855456 4095072361 8190144722 16380289444 32760578888 65521157776 131042315552