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21122130232 = 2377110395113
BaseRepresentation
bin10011101010111110…
…100010000100111000
32000112001000101112201
4103222332202010320
5321224231131412
613411532315544
71345266100420
oct235276420470
960461011481
1021122130232
118a5998a085
124115912bb4
131cb8006518
141045345480
15839523e57
hex4eafa2138

21122130232 has 64 divisors (see below), whose sum is σ = 45952358400. Its totient is φ = 8914510080.

The previous prime is 21122130229. The next prime is 21122130277. The reversal of 21122130232 is 23203122112.

It is a super-2 number, since 2×211221302322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4128508 + ... + 4133620.

It is an arithmetic number, because the mean of its divisors is an integer number (718005600).

Almost surely, 221122130232 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 21122130232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22976179200).

21122130232 is an abundant number, since it is smaller than the sum of its proper divisors (24830228168).

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

21122130232 is a wasteful number, since it uses less digits than its factorization.

21122130232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 21122130232 its reverse (23203122112), we get a palindrome (44325252344).

The spelling of 21122130232 in words is "twenty-one billion, one hundred twenty-two million, one hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 994 1039 1988 2078 3976 4156 5113 7273 8312 10226 14546 20452 29092 35791 40904 58184 71582 73769 143164 147538 286328 295076 363023 516383 590152 726046 1032766 1452092 2065532 2541161 2904184 4131064 5082322 5312407 10164644 10624814 20329288 21249628 37186849 42499256 74373698 148747396 297494792 377180897 754361794 1508723588 2640266279 3017447176 5280532558 10561065116 21122130232