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213216610542 = 23134597594637
BaseRepresentation
bin1100011010010010110…
…0110100100011101110
3202101100102200001202120
43012210230310203232
511443131423014132
6241541135533410
721255464200155
oct3064454644356
9671312601676
10213216610542
1182474244331
12353a598a266
131714c5428a0
14a46951459c
15582d91202c
hex31a4b348ee

213216610542 has 32 divisors (see below), whose sum is σ = 459336448032. Its totient is φ = 65590729344.

The previous prime is 213216610457. The next prime is 213216610547. The reversal of 213216610542 is 245016612312.

213216610542 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 2×2132166105422 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213216610547) 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, 61248 + ... + 655884.

It is an arithmetic number, because the mean of its divisors is an integer number (14354264001).

Almost surely, 2213216610542 is an apocalyptic number.

213216610542 is an abundant number, since it is smaller than the sum of its proper divisors (246119837490).

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

213216610542 is a wasteful number, since it uses less digits than its factorization.

213216610542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599252.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 213216610542 in words is "two hundred thirteen billion, two hundred sixteen million, six hundred ten thousand, five hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 4597 9194 13791 27582 59761 119522 179283 358566 594637 1189274 1783911 3567822 7730281 15460562 23190843 46381686 2733546289 5467092578 8200638867 16401277734 35536101757 71072203514 106608305271 213216610542