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213100101320 = 23543312303701
BaseRepresentation
bin1100011001110111000…
…0010111111011001000
3202101001022102210011012
43012131300113323020
511442412111220240
6241521414423052
721252550655141
oct3063560277310
9671038383135
10213100101320
11824144a7217
1235372961a88
131713136b812
14a457c66ac8
15582359ab65
hex319dc17ec8

213100101320 has 32 divisors (see below), whose sum is σ = 480582600120. Its totient is φ = 85043174400.

The previous prime is 213100101307. The next prime is 213100101359. The reversal of 213100101320 is 23101001312.

It can be written as a sum of positive squares in 4 ways, for example, as 96610315684 + 116489785636 = 310822^2 + 341306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213100101295 and 213100101304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6134531 + ... + 6169170.

Almost surely, 2213100101320 is an apocalyptic number.

213100101320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100101320 is an abundant number, since it is smaller than the sum of its proper divisors (267482498800).

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

213100101320 is a wasteful number, since it uses less digits than its factorization.

213100101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12304145 (or 12304141 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 213100101320 its reverse (23101001312), we get a palindrome (236201102632).

The spelling of 213100101320 in words is "two hundred thirteen billion, one hundred million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 433 866 1732 2165 3464 4330 8660 17320 12303701 24607402 49214804 61518505 98429608 123037010 246074020 492148040 5327502533 10655005066 21310010132 26637512665 42620020264 53275025330 106550050660 213100101320