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210232221132 = 223891901103549
BaseRepresentation
bin1100001111001011010…
…0010001110111001100
3202002122110000101010110
43003302310101313030
511421023422034012
6240325050040020
721121515252333
oct3036264216714
9662573011113
10210232221132
11811826763aa
12348b2419010
1316a951658ab
14a265012d1a
15570690373c
hex30f2d11dcc

210232221132 has 48 divisors (see below), whose sum is σ = 496319292000. Its totient is φ = 69252902400.

The previous prime is 210232221127. The next prime is 210232221139. The reversal of 210232221132 is 231122232012.

210232221132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2102322211322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210232221099 and 210232221108.

It is not an unprimeable number, because it can be changed into a prime (210232221139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1978494 + ... + 2082042.

It is an arithmetic number, because the mean of its divisors is an integer number (10339985250).

Almost surely, 2210232221132 is an apocalyptic number.

It is an amenable number.

210232221132 is an abundant number, since it is smaller than the sum of its proper divisors (286087070868).

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

210232221132 is a wasteful number, since it uses less digits than its factorization.

210232221132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105546 (or 105544 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 210232221132 its reverse (231122232012), we get a palindrome (441354453144).

The spelling of 210232221132 in words is "two hundred ten billion, two hundred thirty-two million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 89 178 267 356 534 1068 1901 3802 5703 7604 11406 22812 103549 169189 207098 310647 338378 414196 507567 621294 676756 1015134 1242588 2030268 9215861 18431722 27647583 36863444 55295166 110590332 196846649 393693298 590539947 787386596 1181079894 2362159788 17519351761 35038703522 52558055283 70077407044 105116110566 210232221132