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131031525504 = 27311231348727
BaseRepresentation
bin111101000001000010…
…1100110100010000000
3110112012210221011121010
41322002011212202000
54121323032304004
6140110044200520
712316040406225
oct1720205464200
9415183834533
10131031525504
115062a975550
122148a239140
13c4827cc159
1464b04a194c
15361d6c0a89
hex1e82166880

131031525504 has 128 divisors (see below), whose sum is σ = 396202337280. Its totient is φ = 37980124160.

The previous prime is 131031525487. The next prime is 131031525511. The reversal of 131031525504 is 405525130131.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 577212 + ... + 771515.

It is an arithmetic number, because the mean of its divisors is an integer number (3095330760).

Almost surely, 2131031525504 is an apocalyptic number.

It is an amenable number.

131031525504 is an abundant number, since it is smaller than the sum of its proper divisors (265170811776).

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

131031525504 is a wasteful number, since it uses less digits than its factorization.

131031525504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348778 (or 1348766 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 131031525504 its reverse (405525130131), we get a palindrome (536556655635).

The spelling of 131031525504 in words is "one hundred thirty-one billion, thirty-one million, five hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 264 276 352 368 384 506 528 552 704 736 759 1012 1056 1104 1408 1472 1518 2024 2112 2208 2944 3036 4048 4224 4416 6072 8096 8832 12144 16192 24288 32384 48576 97152 1348727 2697454 4046181 5394908 8092362 10789816 14835997 16184724 21579632 29671994 31020721 32369448 43159264 44507991 59343988 62041442 64738896 86318528 89015982 93062163 118687976 124082884 129477792 172637056 178031964 186124326 237375952 248165768 258955584 341227931 356063928 372248652 474751904 496331536 517911168 682455862 712127856 744497304 949503808 992663072 1023683793 1364911724 1424255712 1488994608 1899007616 1985326144 2047367586 2729823448 2848511424 2977989216 3970652288 4094735172 5459646896 5697022848 5955978432 8189470344 10919293792 11911956864 16378940688 21838587584 32757881376 43677175168 65515762752 131031525504