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21323145324 = 223131075632269
BaseRepresentation
bin10011110110111101…
…010110000001101100
32001001001021000102010
4103312331112001230
5322132211122244
613443513001220
71353256513305
oct236675260154
961031230363
1021323145324
1190523a5758
1241710b3210
13201a857870
141063d0d7ac
1584becdeb9
hex4f6f5606c

21323145324 has 96 divisors (see below), whose sum is σ = 54201934080. Its totient is φ = 6485246208.

The previous prime is 21323145323. The next prime is 21323145329. The reversal of 21323145324 is 42354132312.

It is a junction number, because it is equal to n+sod(n) for n = 21323145291 and 21323145300.

It is not an unprimeable number, because it can be changed into a prime (21323145323) 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 31 ways as a sum of consecutive naturals, for example, 9396462 + ... + 9398730.

It is an arithmetic number, because the mean of its divisors is an integer number (564603480).

Almost surely, 221323145324 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 21323145324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27100967040).

21323145324 is an abundant number, since it is smaller than the sum of its proper divisors (32878788756).

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

21323145324 is a wasteful number, since it uses less digits than its factorization.

21323145324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2957 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Adding to 21323145324 its reverse (42354132312), we get a palindrome (63677277636).

The spelling of 21323145324 in words is "twenty-one billion, three hundred twenty-three million, one hundred forty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 563 642 1126 1284 1391 1689 2252 2269 2782 3378 4173 4538 5564 6756 6807 7319 8346 9076 13614 14638 16692 21957 27228 29276 29497 43914 58994 60241 87828 88491 117988 120482 176982 180723 240964 242783 353964 361446 485566 722892 728349 783133 971132 1277447 1456698 1566266 2349399 2554894 2913396 3132532 3156179 3832341 4698798 5109788 6312358 7664682 9397596 9468537 12624716 15329364 16606811 18937074 33213622 37874148 49820433 66427244 99640866 136686829 199281732 273373658 410060487 546747316 820120974 1640241948 1776928777 3553857554 5330786331 7107715108 10661572662 21323145324