Search a number
-
+
21352045122 = 2332932994133
BaseRepresentation
bin10011111000101011…
…100101101001000010
32001010001122021111000
4103320223211221002
5322212110420442
613450424232430
71354060250262
oct237053455102
961101567430
1021352045122
119067744591
12417a90b716
132023835b35
141067ab37a2
1584e7dbd4c
hex4f8ae5a42

21352045122 has 64 divisors (see below), whose sum is σ = 49111920000. Its totient is φ = 6868177344.

The previous prime is 21352045109. The next prime is 21352045123. The reversal of 21352045122 is 22154025312.

21352045122 is a `hidden beast` number, since 2 + 13 + 520 + 4 + 5 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21352045123) 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 31 ways as a sum of consecutive naturals, for example, 5164168 + ... + 5168300.

It is an arithmetic number, because the mean of its divisors is an integer number (767373750).

Almost surely, 221352045122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21352045122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24555960000).

21352045122 is an abundant number, since it is smaller than the sum of its proper divisors (27759874878).

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

21352045122 is a wasteful number, since it uses less digits than its factorization.

21352045122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7472 (or 7466 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 21352045122 in words is "twenty-one billion, three hundred fifty-two million, forty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 3299 4133 6598 8266 9897 12399 19794 24798 29691 37197 59382 74394 89073 95671 111591 119857 178146 191342 223182 239714 287013 359571 574026 719142 861039 1078713 1722078 2157426 2583117 3236139 5166234 6472278 13634767 27269534 40904301 81808602 122712903 245425806 368138709 395408243 736277418 790816486 1186224729 2372449458 3558674187 7117348374 10676022561 21352045122