Search a number
-
+
113031320321232 = 24322239530366109
BaseRepresentation
bin11001101100110100100111…
…101100100011110011010000
3112211012200121001112020011200
4121230310213230203303100
5104303401121000234412
61040221512142311200
732544146326230555
oct3154644754436320
9484180531466150
10113031320321232
113301934a667875
1210816288588500
134b0ba66897b01
141dcaa60772a2c
15d1030d9369dc
hex66cd27b23cd0

113031320321232 has 120 divisors (see below), whose sum is σ = 316536457036800. Its totient is φ = 37652607869184.

The previous prime is 113031320321131. The next prime is 113031320321267. The reversal of 113031320321232 is 232123023130311.

113031320321232 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 313 + 2 + 0 + 321 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113031320321196 and 113031320321205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1709738994 + ... + 1709805102.

It is an arithmetic number, because the mean of its divisors is an integer number (2637803808640).

Almost surely, 2113031320321232 is an apocalyptic number.

113031320321232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113031320321232 is an abundant number, since it is smaller than the sum of its proper divisors (203505136715568).

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

113031320321232 is a wasteful number, since it uses less digits than its factorization.

113031320321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73665 (or 73656 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 113031320321232 its reverse (232123023130311), we get a palindrome (345154343451543).

The spelling of 113031320321232 in words is "one hundred thirteen trillion, thirty-one billion, three hundred twenty million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2239 4478 5303 6717 8956 10606 13434 15909 17912 20151 21212 26868 31818 35824 40302 42424 47727 53736 63636 66109 80604 84848 95454 107472 127272 132218 161208 190908 198327 254544 264436 322416 381816 396654 528872 594981 763632 793308 1057744 1189962 1586616 2379924 3173232 4759848 9519696 11873417 23746834 35620251 47493668 71240502 94987336 106860753 142481004 148018051 189974672 213721506 284962008 296036102 350576027 427443012 444054153 569924016 592072204 701152054 854886024 888108306 1051728081 1184144408 1332162459 1402304108 1709772048 1776216612 2103456162 2368288816 2664324918 2804608216 3155184243 3552433224 4206912324 5328649836 5609216432 6310368486 7104866448 8413824648 10657299672 12620736972 16827649296 21314599344 25241473944 50482947888 784939724453 1569879448906 2354819173359 3139758897812 4709638346718 6279517795624 7064457520077 9419276693436 12559035591248 14128915040154 18838553386872 28257830080308 37677106773744 56515660160616 113031320321232