Search a number
-
+
113003441331 = 31131377340897
BaseRepresentation
bin110100100111110000…
…1111010110010110011
3101210200101220121022220
41221033201322302303
53322412340110311
6123525115532123
711110221255114
oct1511741726263
9353611817286
10113003441331
1143a19551030
1219a9875a043
13a86b817921
14568004420b
152e15b1b206
hex1a4f87acb3

113003441331 has 64 divisors (see below), whose sum is σ = 176647950336. Its totient is φ = 63601459200.

The previous prime is 113003441297. The next prime is 113003441347. The reversal of 113003441331 is 133144300311.

It is not a de Polignac number, because 113003441331 - 213 = 113003433139 is a prime.

It is a super-2 number, since 2×1130034413312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113003441351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2742675 + ... + 2783571.

It is an arithmetic number, because the mean of its divisors is an integer number (2760124224).

Almost surely, 2113003441331 is an apocalyptic number.

113003441331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113003441331 is a deficient number, since it is larger than the sum of its proper divisors (63644509005).

113003441331 is a wasteful number, since it uses less digits than its factorization.

113003441331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41052.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113003441331 its reverse (133144300311), we get a palindrome (246147741642).

The spelling of 113003441331 in words is "one hundred thirteen billion, three million, four hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 11 31 33 37 73 93 111 219 341 407 803 1023 1147 1221 2263 2409 2701 3441 6789 8103 12617 24893 29711 37851 40897 74679 83731 89133 122691 251193 449867 921041 1267807 1349601 1513189 2763123 2985481 3803421 4539567 8956443 13945877 16645079 32840291 41837631 46908859 49935237 92549911 98520873 110462797 140726577 277649733 331388391 515997449 1018049021 1215090767 1547992347 3054147063 3424346707 3645272301 10273040121 37667813777 113003441331