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21322202132 = 22711316133643
BaseRepresentation
bin10011110110111001…
…101111110000010100
32001000222111002121002
4103312321233300110
5322131440432012
613443440442432
71353245504420
oct236671576024
961028432532
1021322202132
119051911060
124170919418
13201a5b746a
141063b45b80
1584bd947c2
hex4f6e6fc14

21322202132 has 96 divisors (see below), whose sum is σ = 48113393664. Its totient is φ = 8024054400.

The previous prime is 21322202131. The next prime is 21322202159. The reversal of 21322202132 is 23120222312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322202131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5851103 + ... + 5854745.

It is an arithmetic number, because the mean of its divisors is an integer number (501181184).

Almost surely, 221322202132 is an apocalyptic number.

21322202132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21322202132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24056696832).

21322202132 is an abundant number, since it is smaller than the sum of its proper divisors (26791191532).

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

21322202132 is a wasteful number, since it uses less digits than its factorization.

21322202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21322202132 its reverse (23120222312), we get a palindrome (44442424444).

The spelling of 21322202132 in words is "twenty-one billion, three hundred twenty-two million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 124 154 217 308 341 434 613 682 868 1226 1364 2387 2452 3643 4291 4774 6743 7286 8582 9548 13486 14572 17164 19003 25501 26972 38006 40073 47201 51002 76012 80146 94402 102004 112933 133021 160292 188804 209033 225866 266042 280511 418066 451732 532084 561022 790531 836132 1122044 1242263 1463231 1581062 2233159 2484526 2926462 3162124 4466318 4969052 5852924 8695841 8932636 15632113 17391682 24564749 31264226 34783364 49129498 62528452 69227929 98258996 138455858 171953243 276911716 343906486 484595503 687812972 761507219 969191006 1523014438 1938382012 3046028876 5330550533 10661101066 21322202132