Search a number
-
+
112332002331 = 317193713123917
BaseRepresentation
bin110100010011110000…
…0100101010000011011
3101201221121110222011210
41220213200211100123
53320023443033311
6123334332354203
711054456160033
oct1504740452033
9351847428153
10112332002331
1143704539a6a
121992b915963
13a792698543
145618bc28c3
152dc6bdb3a6
hex1a2782541b

112332002331 has 64 divisors (see below), whose sum is σ = 172760670720. Its totient is φ = 64469882880.

The previous prime is 112332002329. The next prime is 112332002333. The reversal of 112332002331 is 133200233211.

It is an interprime number because it is at equal distance from previous prime (112332002329) and next prime (112332002333).

It is not a de Polignac number, because 112332002331 - 21 = 112332002329 is a prime.

It is a super-2 number, since 2×1123320023312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112332002298 and 112332002307.

It is not an unprimeable number, because it can be changed into a prime (112332002333) 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, 4684785 + ... + 4708701.

It is an arithmetic number, because the mean of its divisors is an integer number (2699385480).

Almost surely, 2112332002331 is an apocalyptic number.

112332002331 is a deficient number, since it is larger than the sum of its proper divisors (60428668389).

112332002331 is a wasteful number, since it uses less digits than its factorization.

112332002331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24124.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 112332002331 its reverse (133200233211), we get a palindrome (245532235542).

The spelling of 112332002331 in words is "one hundred twelve billion, three hundred thirty-two million, two thousand, three hundred thirty-one".

Divisors: 1 3 17 19 37 51 57 111 131 323 393 629 703 969 1887 2109 2227 2489 4847 6681 7467 11951 14541 23917 35853 42313 71751 82399 92093 126939 247197 276279 406589 454423 884929 1219767 1363269 1565581 2654787 3133127 4696743 7725191 9399381 15043793 16813651 23175573 45131379 50440953 53263159 59529413 115925699 159789477 178588239 285832067 347777097 857496201 1012000021 1970736883 2202588281 3036000063 5912210649 6607764843 37444000777 112332002331