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113314370884 = 221141321072
BaseRepresentation
bin110100110001000010…
…0000001010101000100
3101211111001222110111021
41221202010001111010
53324031434332014
6124020024120524
711121015155221
oct1514204012504
9354431873437
10113314370884
1144069010000
1219b64906144
13a8bb071400
1456ad460948
152e33088624
hex1a62101544

113314370884 has 135 divisors (see below), whose sum is σ = 238426746285. Its totient is φ = 47100150240.

The previous prime is 113314370833. The next prime is 113314370891. The reversal of 113314370884 is 488073413311.

It is a happy number.

The square root of 113314370884 is 336622.

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

It can be written as a sum of positive squares in only one way, i.e., 16762480900 + 96551889984 = 129470^2 + 310728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113314370884.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1059012759 + ... + 1059012865.

Almost surely, 2113314370884 is an apocalyptic number.

113314370884 is the 336622-nd square number.

It is an amenable number.

113314370884 is an abundant number, since it is smaller than the sum of its proper divisors (125112375401).

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

113314370884 is an equidigital number, since it uses as much as digits as its factorization.

113314370884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 113314370884 in words is "one hundred thirteen billion, three hundred fourteen million, three hundred seventy thousand, eight hundred eighty-four".

Divisors: 1 2 4 11 13 22 26 44 52 107 121 143 169 214 242 286 338 428 484 572 676 1177 1331 1391 1573 1859 2354 2662 2782 3146 3718 4708 5324 5564 6292 7436 11449 12947 14641 15301 17303 18083 20449 22898 25894 29282 30602 34606 36166 40898 45796 51788 58564 61204 69212 72332 81796 125939 142417 148837 168311 190333 198913 224939 251878 284834 297674 336622 380666 397826 449878 503756 569668 595348 673244 761332 795652 899756 1385329 1566587 1637207 1851421 1934881 2188043 2474329 2770658 3133174 3274414 3702842 3869762 4376086 4948658 5541316 6266348 6548828 7405684 7739524 8752172 9897316 15238619 18009277 20365631 21283691 24068473 30477238 36018554 40731262 42567382 48136946 60954476 72037108 81462524 85134764 96273892 167624809 198102047 234120601 264753203 335249618 396204094 468241202 529506406 670499236 792408188 936482404 1059012812 2179122517 2575326611 4358245034 5150653222 8716490068 10301306444 28328592721 56657185442 113314370884