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21311401356 = 22327641131933
BaseRepresentation
bin10011110110010000…
…100010110110001100
32001000020011100201100
4103312100202312030
5322121204320411
613442413143100
71353054631320
oct236620426614
961006140640
1021311401356
1190468042a3
12416918aa90
1320182a527b
141062533980
1584ae5e456
hex4f6422d8c

21311401356 has 72 divisors (see below), whose sum is σ = 61662785184. Its totient is φ = 6079426560.

The previous prime is 21311401351. The next prime is 21311401367. The reversal of 21311401356 is 65310411312.

It is a happy number.

21311401356 is a `hidden beast` number, since 213 + 11 + 401 + 35 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (21311401351) 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, 95566 + ... + 227498.

It is an arithmetic number, because the mean of its divisors is an integer number (856427572).

Almost surely, 221311401356 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 21311401356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30831392592).

21311401356 is an abundant number, since it is smaller than the sum of its proper divisors (40351383828).

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

21311401356 is a wasteful number, since it uses less digits than its factorization.

21311401356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132591 (or 132586 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 21311401356 its reverse (65310411312), we get a palindrome (86621812668).

The spelling of 21311401356 in words is "twenty-one billion, three hundred eleven million, four hundred one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 641 1282 1923 2564 3846 4487 5769 7692 8974 11538 13461 17948 23076 26922 40383 53844 80766 131933 161532 263866 395799 527732 791598 923531 1187397 1583196 1847062 2374794 2770593 3694124 4749588 5541186 8311779 11082372 16623558 33247116 84569053 169138106 253707159 338276212 507414318 591983371 761121477 1014828636 1183966742 1522242954 1775950113 2367933484 3044485908 3551900226 5327850339 7103800452 10655700678 21311401356