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213121230984 = 23324759621983
BaseRepresentation
bin1100011001111100000…
…0111110100010001000
3202101002210012021121100
43012133000332202020
511442433013342414
6241523451341400
721253225400514
oct3063700764210
9671083167540
10213121230984
1182425419252
1235379a51860
131713585918c
14a45a9a7144
155825371609
hex319f03e888

213121230984 has 48 divisors (see below), whose sum is σ = 577325548800. Its totient is φ = 71025368544.

The previous prime is 213121230947. The next prime is 213121231003. The reversal of 213121230984 is 489032121312.

213121230984 is a `hidden beast` number, since 2 + 131 + 212 + 309 + 8 + 4 = 666.

It is a super-2 number, since 2×2131212309842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31657 + ... + 653639.

It is an arithmetic number, because the mean of its divisors is an integer number (12027615600).

Almost surely, 2213121230984 is an apocalyptic number.

213121230984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213121230984 is an abundant number, since it is smaller than the sum of its proper divisors (364204317816).

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

213121230984 is a wasteful number, since it uses less digits than its factorization.

213121230984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626754 (or 626747 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 213121230984 in words is "two hundred thirteen billion, one hundred twenty-one million, two hundred thirty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4759 9518 14277 19036 28554 38072 42831 57108 85662 114216 171324 342648 621983 1243966 1865949 2487932 3731898 4975864 5597847 7463796 11195694 14927592 22391388 44782776 2960017097 5920034194 8880051291 11840068388 17760102582 23680136776 26640153873 35520205164 53280307746 71040410328 106560615492 213121230984