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103345532676 = 223213124092
BaseRepresentation
bin110000000111111011…
…1111010111100000100
3100212202022212000022100
41200033313322330010
53143122424021201
6115250513232100
710315666351041
oct1401767727404
9325668760270
10103345532676
113a91294a341
1218042262630
13998c974989
1450054d01c8
152a4ccd3886
hex180fdfaf04

103345532676 has 81 divisors (see below), whose sum is σ = 263889122133. Its totient is φ = 34101961920.

The previous prime is 103345532657. The next prime is 103345532701. The reversal of 103345532676 is 676235543301.

It is a happy number.

The square root of 103345532676 is 321474.

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

103345532676 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 4 + 553 + 26 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94449270276 + 8896262400 = 307326^2 + 94320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 252678360 + ... + 252678768.

Almost surely, 2103345532676 is an apocalyptic number.

103345532676 is the 321474-th square number.

It is an amenable number.

103345532676 is an abundant number, since it is smaller than the sum of its proper divisors (160543589457).

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

103345532676 is an equidigital number, since it uses as much as digits as its factorization.

103345532676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 103345532676 in words is "one hundred three billion, three hundred forty-five million, five hundred thirty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 409 524 786 818 1179 1227 1572 1636 2358 2454 3681 4716 4908 7362 14724 17161 34322 51483 53579 68644 102966 107158 154449 160737 167281 205932 214316 308898 321474 334562 482211 501843 617796 642948 669124 964422 1003686 1505529 1928844 2007372 3011058 6022116 7018849 14037698 21056547 21913811 28075396 42113094 43827622 63169641 65741433 84226188 87655244 126339282 131482866 197224299 252678564 262965732 394448598 788897196 2870709241 5741418482 8612127723 11482836964 17224255446 25836383169 34448510892 51672766338 103345532676