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213100101324 = 22321129611072843
BaseRepresentation
bin1100011001110111000…
…0010111111011001100
3202101001022102210011100
43012131300113323030
511442412111220244
6241521414423100
721252550655145
oct3063560277314
9671038383140
10213100101324
11824144a7220
1235372961a90
131713136b816
14a457c66acc
15582359ab69
hex319dc17ecc

213100101324 has 288 divisors, whose sum is σ = 623862570240. Its totient is φ = 60732403200.

The previous prime is 213100101307. The next prime is 213100101359. The reversal of 213100101324 is 423101001312.

213100101324 is a `hidden beast` number, since 21 + 310 + 0 + 10 + 1 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213100101297 and 213100101306.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74954647 + ... + 74957489.

It is an arithmetic number, because the mean of its divisors is an integer number (2166189480).

Almost surely, 2213100101324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213100101324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311931285120).

213100101324 is an abundant number, since it is smaller than the sum of its proper divisors (410762468916).

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

213100101324 is a wasteful number, since it uses less digits than its factorization.

213100101324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213100101324 its reverse (423101001312), we get a palindrome (636201102636).

The spelling of 213100101324 in words is "two hundred thirteen billion, one hundred million, one hundred one thousand, three hundred twenty-four".