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213112209978 = 23450315671669
BaseRepresentation
bin1100011001111001111…
…0100100001000111010
3202101002011012222010000
43012132132210020322
511442423211204403
6241522530133430
721253055616303
oct3063636441072
9671064188100
10213112209978
1182420317678
1235376a21276
1317133a1b0c5
14a4596d97aa
15582468d7a3
hex319e7a423a

213112209978 has 80 divisors (see below), whose sum is σ = 479070789120. Its totient is φ = 70808481504.

The previous prime is 213112209977. The next prime is 213112209991. The reversal of 213112209978 is 879902211312.

213112209978 is a `hidden beast` number, since 21 + 311 + 220 + 9 + 97 + 8 = 666.

213112209978 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213112209971) 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 39 ways as a sum of consecutive naturals, for example, 127687728 + ... + 127689396.

It is an arithmetic number, because the mean of its divisors is an integer number (5988384864).

Almost surely, 2213112209978 is an apocalyptic number.

213112209978 is an abundant number, since it is smaller than the sum of its proper divisors (265958579142).

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

213112209978 is a wasteful number, since it uses less digits than its factorization.

213112209978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 213112209978 in words is "two hundred thirteen billion, one hundred twelve million, two hundred nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 503 1006 1509 1567 1669 3018 3134 3338 4527 4701 5007 9054 9402 10014 13581 14103 15021 27162 28206 30042 40743 42309 45063 81486 84618 90126 126927 135189 253854 270378 788201 839507 1576402 1679014 2364603 2518521 2615323 4729206 5037042 5230646 7093809 7555563 7845969 14187618 15111126 15691938 21281427 22666689 23537907 42562854 45333378 47075814 63844281 68000067 70613721 127688562 136000134 141227442 211841163 423682326 1315507469 2631014938 3946522407 7893044814 11839567221 23679134442 35518701663 71037403326 106556104989 213112209978