Search a number
-
+
107233175310972 = 22333143961497209
BaseRepresentation
bin11000011000011100101011…
…010100101001001001111100
3112001200101120100202121022120
4120120130223110221021330
5103023402020334422342
61020022123552242540
731405225022636634
oct3030345324511174
9461611510677276
10107233175310972
1131193374999897
121003a611540450
1347ab077c5b859
141c6a1831736c4
15c5e5aabdeaec
hex61872b52927c

107233175310972 has 48 divisors (see below), whose sum is σ = 251538348230400. Its totient is φ = 35555225777280.

The previous prime is 107233175310953. The next prime is 107233175310997. The reversal of 107233175310972 is 279013571332701.

It is a happy number.

It is a super-2 number, since 2×1072331753109722 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29004897 + ... + 32492312.

It is an arithmetic number, because the mean of its divisors is an integer number (5240382254800).

Almost surely, 2107233175310972 is an apocalyptic number.

107233175310972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107233175310972 is an abundant number, since it is smaller than the sum of its proper divisors (144305172919428).

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

107233175310972 is a wasteful number, since it uses less digits than its factorization.

107233175310972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61497986 (or 61497984 counting only the distinct ones).

The product of its (nonzero) digits is 1666980, while the sum is 51.

The spelling of 107233175310972 in words is "one hundred seven trillion, two hundred thirty-three billion, one hundred seventy-five million, three hundred ten thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 331 439 662 878 993 1317 1324 1756 1986 2634 3972 5268 145309 290618 435927 581236 871854 1743708 61497209 122994418 184491627 245988836 368983254 737966508 20355576179 26997274751 40711152358 53994549502 61066728537 80991824253 81422304716 107989099004 122133457074 161983648506 244266914148 323967297012 8936097942581 17872195885162 26808293827743 35744391770324 53616587655486 107233175310972