Search a number
-
+
210432100422131 = 73711326395328687
BaseRepresentation
bin101111110110001100001010…
…100110000101000111110011
31000121002010000220001002020222
4233312030022212011013303
5210040204420202002011
62023315101122123255
762216134421654510
oct5766141246050763
91017063026032228
10210432100422131
1161060830809a55
121b7271987b052b
13905587b325853
1439d6d7a2ba307
15194dc4db01ddb
hexbf630a9851f3

210432100422131 has 64 divisors (see below), whose sum is σ = 250398088224768. Its totient is φ = 173093200293888.

The previous prime is 210432100422029. The next prime is 210432100422179. The reversal of 210432100422131 is 131224001234012.

It is a happy number.

It is not a de Polignac number, because 210432100422131 - 230 = 210431026680307 is a prime.

It is a super-2 number, since 2×2104321004221312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 210432100422131.

It is not an unprimeable number, because it can be changed into a prime (210432100428131) 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, 7335437270 + ... + 7335465956.

It is an arithmetic number, because the mean of its divisors is an integer number (3912470128512).

Almost surely, 2210432100422131 is an apocalyptic number.

210432100422131 is a deficient number, since it is larger than the sum of its proper divisors (39965987802637).

210432100422131 is a wasteful number, since it uses less digits than its factorization.

210432100422131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30060.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 210432100422131 its reverse (131224001234012), we get a palindrome (341656101656143).

The spelling of 210432100422131 in words is "two hundred ten trillion, four hundred thirty-two billion, one hundred million, four hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 7 37 113 259 263 791 953 1841 4181 6671 9731 28687 29267 29719 35261 68117 107689 200809 208033 246827 250639 753823 1061419 1099603 1754473 3241631 3984493 7429933 7544681 7697221 9273643 22691417 27338711 27891451 28322207 52812767 64915501 119940347 191370977 198255449 279153197 839582429 852548953 1011532307 1047921659 1954072379 3089274343 5967842671 7080726149 7190080993 7335451613 21624920401 31544311261 50330566951 114303150691 220810178827 266032996741 800122054837 812479152209 1862230977187 5687354065463 30061728631733 210432100422131