Search a number
-
+
645131102120 = 235172113448993
BaseRepresentation
bin10010110001101001100…
…11110110011110101000
32021200012021222120211222
421120310303312132220
541032212030231440
61212211422241212
764415643614141
oct11306463663650
92250167876758
10645131102120
112296647635aa
12a5045126208
1348ab2a8196b
14233200bcac8
1511bac0562b5
hex9634cf67a8

645131102120 has 64 divisors (see below), whose sum is σ = 1537660771920. Its totient is φ = 242757402624.

The previous prime is 645131102113. The next prime is 645131102129. The reversal of 645131102120 is 21201131546.

It can be written as a sum of positive squares in 8 ways, for example, as 94712524516 + 550418577604 = 307754^2 + 741902^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 645131102120.

It is not an unprimeable number, because it can be changed into a prime (645131102129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1212344 + ... + 1661336.

Almost surely, 2645131102120 is an apocalyptic number.

It is an amenable number.

645131102120 is an abundant number, since it is smaller than the sum of its proper divisors (892529669800).

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

645131102120 is a wasteful number, since it uses less digits than its factorization.

645131102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451134 (or 451130 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 645131102120 its reverse (21201131546), we get a palindrome (666332233666).

The spelling of 645131102120 in words is "six hundred forty-five billion, one hundred thirty-one million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 2113 4226 8452 10565 16904 21130 35921 42260 71842 84520 143684 179605 287368 359210 448993 718420 897986 1436840 1795972 2244965 3591944 4489930 7632881 8979860 15265762 17959720 30531524 38164405 61063048 76328810 152657620 305315240 948722209 1897444418 3794888836 4743611045 7589777672 9487222090 16128277553 18974444180 32256555106 37948888360 64513110212 80641387765 129026220424 161282775530 322565551060 645131102120