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21322101432 = 23343107193093
BaseRepresentation
bin10011110110111001…
…010111001010111000
32001000222021222110110
4103312321113022320
5322131424221212
613443434344320
71353244605012
oct236671271270
961028258413
1021322101432
119051852435
12417088b0a0
13201a580688
141063b1b1b2
1584bd74a3c
hex4f6e572b8

21322101432 has 64 divisors (see below), whose sum is σ = 55054961280. Its totient is φ = 6877164672.

The previous prime is 21322101431. The next prime is 21322101457. The reversal of 21322101432 is 23410122312.

It is a junction number, because it is equal to n+sod(n) for n = 21322101399 and 21322101408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322101431) 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, 13878 + ... + 206970.

It is an arithmetic number, because the mean of its divisors is an integer number (860233770).

Almost surely, 221322101432 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 21322101432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27527480640).

21322101432 is an abundant number, since it is smaller than the sum of its proper divisors (33732859848).

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

21322101432 is a wasteful number, since it uses less digits than its factorization.

21322101432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193252 (or 193248 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 21322101432 its reverse (23410122312), we get a palindrome (44732223744).

The spelling of 21322101432 in words is "twenty-one billion, three hundred twenty-two million, one hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 107 129 172 214 258 321 344 428 516 642 856 1032 1284 2568 4601 9202 13803 18404 27606 36808 55212 110424 193093 386186 579279 772372 1158558 1544744 2317116 4634232 8302999 16605998 20660951 24908997 33211996 41321902 49817994 61982853 66423992 82643804 99635988 123965706 165287608 199271976 247931412 495862824 888420893 1776841786 2665262679 3553683572 5330525358 7107367144 10661050716 21322101432