Search a number
-
+
122331132 = 223271144131
BaseRepresentation
bin1110100101010…
…01111111111100
322112012001202200
413102221333330
5222304044012
620045551500
73013540350
oct722517774
9275161680
10122331132
1163064210
1234b75590
131c461cb1
1412365460
15ab163dc
hex74a9ffc

122331132 has 72 divisors (see below), whose sum is σ = 385537152. Its totient is φ = 31773600.

The previous prime is 122331119. The next prime is 122331149. The reversal of 122331132 is 231133221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

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, 19294 + ... + 24837.

Almost surely, 2122331132 is an apocalyptic number.

122331132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122331132 is an abundant number, since it is smaller than the sum of its proper divisors (263206020).

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

122331132 is a wasteful number, since it uses less digits than its factorization.

122331132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44159 (or 44154 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 122331132 is about 11060.3405010877. The cubic root of 122331132 is about 496.4158788733.

Adding to 122331132 its reverse (231133221), we get a palindrome (353464353).

The spelling of 122331132 in words is "one hundred twenty-two million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 44131 88262 132393 176524 264786 308917 397179 485441 529572 617834 794358 926751 970882 1235668 1456323 1588716 1853502 1941764 2780253 2912646 3398087 3707004 4368969 5560506 5825292 6796174 8737938 10194261 11121012 13592348 17475876 20388522 30582783 40777044 61165566 122331132