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108431245521 = 321925321092
BaseRepresentation
bin110010011111100000…
…0011000000011010001
3101100212202111222210100
41210333000120003101
53234031344324041
6121451305523013
710556012244144
oct1447700300321
9340782458710
10108431245521
1141a9267a705
12190214a3469
13a2c04b4011
145368b0405b
152c4951b6b6
hex193f0180d1

108431245521 has 81 divisors (see below), whose sum is σ = 170037644049. Its totient is φ = 66574332864.

The previous prime is 108431245513. The next prime is 108431245523. The reversal of 108431245521 is 125542134801.

The square root of 108431245521 is 329289.

It is a perfect power (a square), and thus also a powerful number.

108431245521 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 3 + 124 + 5 + 521 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18948899025 + 89482346496 = 137655^2 + 299136^2 .

It is not a de Polignac number, because 108431245521 - 23 = 108431245513 is a prime.

It is a super-2 number, since 2×1084312455212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (108431245523) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 994782015 + ... + 994782123.

Almost surely, 2108431245521 is an apocalyptic number.

108431245521 is the 329289-th square number.

108431245521 is the 164645-th centered octagonal number.

It is an amenable number.

108431245521 is a deficient number, since it is larger than the sum of its proper divisors (61606398528).

108431245521 is an equidigital number, since it uses as much as digits as its factorization.

108431245521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 108431245521 by its sum of digits (36), we get a square (3903524838756 = 19757342).

The spelling of 108431245521 in words is "one hundred eight billion, four hundred thirty-one million, two hundred forty-five thousand, five hundred twenty-one".

Divisors: 1 3 9 19 53 57 109 159 171 327 361 477 981 1007 1083 2071 2809 3021 3249 5777 6213 8427 9063 11881 17331 18639 19133 25281 35643 39349 51993 53371 57399 106929 109763 118047 160113 172197 225739 306181 329289 354141 480339 629693 677217 918543 987867 1014049 1889079 2031651 2085497 2755629 3042147 4289041 5667237 5817439 6256491 9126441 11964167 12867123 17452317 18769473 33373729 35892501 38601369 52356951 100121187 107677503 110531341 227319173 300363561 331594023 634100851 681957519 994782069 1902302553 2045872557 5706907659 12047916169 36143748507 108431245521