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21301244432 = 24131913739343
BaseRepresentation
bin10011110101101001…
…110011001000010000
32000222112001100000222
4103311221303020100
5322111104310212
613441411332212
71352602406306
oct236551631020
960875040028
1021301244432
119040aa7246
1241658b1068
13201615a160
14106104c276
1584a104c72
hex4f5a73210

21301244432 has 80 divisors (see below), whose sum is σ = 47127816960. Its totient is φ = 9245684736.

The previous prime is 21301244431. The next prime is 21301244441. The reversal of 21301244432 is 23444210312.

It is a super-2 number, since 2×213012444322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (21301244431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521753 + ... + 561095.

It is an arithmetic number, because the mean of its divisors is an integer number (589097712).

Almost surely, 221301244432 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 21301244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23563908480).

21301244432 is an abundant number, since it is smaller than the sum of its proper divisors (25826572528).

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

21301244432 is a wasteful number, since it uses less digits than its factorization.

21301244432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39520 (or 39514 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 21301244432 its reverse (23444210312), we get a palindrome (44745454744).

The spelling of 21301244432 in words is "twenty-one billion, three hundred one million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 137 152 208 247 274 304 494 548 988 1096 1781 1976 2192 2603 3562 3952 5206 7124 10412 14248 20824 28496 33839 39343 41648 67678 78686 135356 157372 270712 314744 511459 541424 629488 747517 1022918 1495034 2045836 2990068 4091672 5389991 5980136 8183344 9717721 10779982 11960272 19435442 21559964 38870884 43119928 70069883 77741768 86239856 102409829 140139766 155483536 204819658 280279532 409639316 560559064 819278632 1121118128 1331327777 1638557264 2662655554 5325311108 10650622216 21301244432