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213313528240 = 2454738756269
BaseRepresentation
bin1100011010101001111…
…0100010000110110000
3202101121012000222211221
43012222132202012300
511443331230400430
6241554521114424
721261052034101
oct3065236420660
9671535028757
10213313528240
1182513a1aaaa
1235412328a14
1317166647437
14a4783423a8
1558371a857a
hex31aa7a21b0

213313528240 has 40 divisors (see below), whose sum is σ = 495973233360. Its totient is φ = 85322094336.

The previous prime is 213313528237. The next prime is 213313528243. The reversal of 213313528240 is 42825313312.

It is an interprime number because it is at equal distance from previous prime (213313528237) and next prime (213313528243).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2133135282402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213313528196 and 213313528205.

It is not an unprimeable number, because it can be changed into a prime (213313528243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3762826 + ... + 3819094.

It is an arithmetic number, because the mean of its divisors is an integer number (12399330834).

Almost surely, 2213313528240 is an apocalyptic number.

213313528240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213313528240 is an abundant number, since it is smaller than the sum of its proper divisors (282659705120).

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

213313528240 is a wasteful number, since it uses less digits than its factorization.

213313528240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103669 (or 103663 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 213313528240 in words is "two hundred thirteen billion, three hundred thirteen million, five hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 47387 56269 94774 112538 189548 225076 236935 281345 379096 450152 473870 562690 758192 900304 947740 1125380 1895480 2250760 3790960 4501520 2666419103 5332838206 10665676412 13332095515 21331352824 26664191030 42662705648 53328382060 106656764120 213313528240