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20322033012 = 22323156932003
BaseRepresentation
bin10010111011010010…
…011001110101110100
31221110021111020111100
4102323102121311310
5313104420024022
613200311410100
71316412300441
oct227322316564
957407436440
1020322033012
118689292206
123b31983930
131bbb31b308
14daad929c8
157de17d1ac
hex4bb499d74

20322033012 has 72 divisors (see below), whose sum is σ = 53121519360. Its totient is φ = 6543768960.

The previous prime is 20322032971. The next prime is 20322033037. The reversal of 20322033012 is 21033022302.

It is a happy number.

20322033012 is a `hidden beast` number, since 2 + 0 + 322 + 0 + 330 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 619003 + ... + 651005.

It is an arithmetic number, because the mean of its divisors is an integer number (737798880).

Almost surely, 220322033012 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 20322033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560759680).

20322033012 is an abundant number, since it is smaller than the sum of its proper divisors (32799486348).

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

20322033012 is a wasteful number, since it uses less digits than its factorization.

20322033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32613 (or 32608 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20322033012 its reverse (21033022302), we get a palindrome (41355055314).

The spelling of 20322033012 in words is "twenty billion, three hundred twenty-two million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 569 1116 1138 1707 2276 3414 5121 6828 10242 17639 20484 32003 35278 52917 64006 70556 96009 105834 128012 158751 192018 211668 288027 317502 384036 576054 635004 992093 1152108 1984186 2976279 3968372 5952558 8928837 11905116 17857674 18209707 35715348 36419414 54629121 72838828 109258242 163887363 218516484 327774726 564500917 655549452 1129001834 1693502751 2258003668 3387005502 5080508253 6774011004 10161016506 20322033012