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21323121012 = 223217105133151
BaseRepresentation
bin10011110110111101…
…010000000101110100
32001001001012210001200
4103312331100011310
5322132204333022
613443512252500
71353256352364
oct236675200564
961031183050
1021323121012
119052389466
1241710a1130
13201a84978b
141063d049a4
1584bec6bac
hex4f6f50174

21323121012 has 72 divisors (see below), whose sum is σ = 57126730752. Its totient is φ = 6683040000.

The previous prime is 21323121011. The next prime is 21323121023. The reversal of 21323121012 is 21012132312.

21323121012 is a `hidden beast` number, since 213 + 231 + 210 + 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 not an unprimeable number, because it can be changed into a prime (21323121011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626637 + ... + 659787.

It is an arithmetic number, because the mean of its divisors is an integer number (793426816).

Almost surely, 221323121012 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 21323121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28563365376).

21323121012 is an abundant number, since it is smaller than the sum of its proper divisors (35803609740).

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

21323121012 is a wasteful number, since it uses less digits than its factorization.

21323121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34229 (or 34224 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21323121012 its reverse (21012132312), we get a palindrome (42335253324).

The spelling of 21323121012 in words is "twenty-one billion, three hundred twenty-three million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1051 2102 3153 4204 6306 9459 12612 17867 18918 33151 35734 37836 53601 66302 71468 99453 107202 132604 160803 198906 214404 298359 321606 397812 563567 596718 643212 1127134 1193436 1690701 2254268 3381402 5072103 6762804 10144206 20288412 34841701 69683402 104525103 139366804 209050206 313575309 418100412 592308917 627150618 1184617834 1254301236 1776926751 2369235668 3553853502 5330780253 7107707004 10661560506 21323121012