Search a number
-
+
10222031118 = 23131091279467
BaseRepresentation
bin10011000010100011…
…11101000100001110
3222101101112222120010
421201101331010032
5131413314443433
64410153334050
7511211554665
oct114121750416
928341488503
1010222031118
114376085302
121b93407326
13c6b9b9530
146cd83bddc
153ec619e63
hex26147d10e

10222031118 has 64 divisors (see below), whose sum is σ = 22395985920. Its totient is φ = 3091519872.

The previous prime is 10222031111. The next prime is 10222031119. The reversal of 10222031118 is 81113022201.

It is a junction number, because it is equal to n+sod(n) for n = 10222031094 and 10222031103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222031111) 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, 1075021 + ... + 1084487.

It is an arithmetic number, because the mean of its divisors is an integer number (349937280).

Almost surely, 210222031118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222031118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197992960).

10222031118 is an abundant number, since it is smaller than the sum of its proper divisors (12173954802).

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

10222031118 is a wasteful number, since it uses less digits than its factorization.

10222031118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 10222031118 its reverse (81113022201), we get a palindrome (91335053319).

The spelling of 10222031118 in words is "ten billion, two hundred twenty-two million, thirty-one thousand, one hundred eighteen".

Divisors: 1 2 3 6 13 26 39 78 109 127 218 254 327 381 654 762 1417 1651 2834 3302 4251 4953 8502 9467 9906 13843 18934 27686 28401 41529 56802 83058 123071 179959 246142 359918 369213 539877 738426 1031903 1079754 1202309 2063806 2404618 3095709 3606927 6191418 7213854 13414739 15630017 26829478 31260034 40244217 46890051 80488434 93780102 131051681 262103362 393155043 786310086 1703671853 3407343706 5111015559 10222031118