Search a number
-
+
113310200024 = 237971071371423
BaseRepresentation
bin110100110000111010…
…0000111000011011000
3101211110210010120010222
41221201310013003120
53324024402400044
6124015354455212
711120634544250
oct1514164070330
9354423116128
10113310200024
114406672140a
1219b63434508
13a8ba240b48
1456aca96960
152e32a128ee
hex1a61d070d8

113310200024 has 128 divisors (see below), whose sum is σ = 249585960960. Its totient is φ = 47230967808.

The previous prime is 113310200023. The next prime is 113310200027. The reversal of 113310200024 is 420002013311.

It is a junction number, because it is equal to n+sod(n) for n = 113310199975 and 113310200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113310200021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79626977 + ... + 79628399.

It is an arithmetic number, because the mean of its divisors is an integer number (1949890320).

Almost surely, 2113310200024 is an apocalyptic number.

113310200024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113310200024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124792980480).

113310200024 is an abundant number, since it is smaller than the sum of its proper divisors (136275760936).

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

113310200024 is a wasteful number, since it uses less digits than its factorization.

113310200024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 113310200024 its reverse (420002013311), we get a palindrome (533312213335).

The spelling of 113310200024 in words is "one hundred thirteen billion, three hundred ten million, two hundred thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 97 107 137 194 214 274 388 428 548 679 749 776 856 959 1096 1358 1423 1498 1918 2716 2846 2996 3836 5432 5692 5992 7672 9961 10379 11384 13289 14659 19922 20758 26578 29318 39844 41516 53156 58636 72653 79688 83032 93023 102613 106312 117272 138031 145306 152261 186046 194951 205226 276062 290612 304522 372092 389902 410452 552124 581224 609044 744184 779804 820904 966217 1065827 1104248 1218088 1364657 1421923 1559608 1932434 2131654 2729314 2843846 3864868 4263308 5458628 5687692 7729736 8526616 9953461 10917256 11375384 14769317 18910247 19906922 20859757 29538634 37820494 39813844 41719514 59077268 75640988 79627688 83439028 103385219 118154536 132371729 146018299 151281976 166878056 206770438 264743458 292036598 413540876 529486916 584073196 827081752 1058973832 1168146392 2023396429 4046792858 8093585716 14163775003 16187171432 28327550006 56655100012 113310200024