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21223301313 = 3172331583651
BaseRepresentation
bin10011110001000000…
…011110000011000001
32000210002101102011210
4103301000132003001
5321431131120223
613425545000333
71350635041014
oct236100360301
960702342153
1021223301313
119001000445
1241437830a9
132002c6a076
14105495d37b
1584335a893
hex4f101e0c1

21223301313 has 32 divisors (see below), whose sum is σ = 32273620992. Its totient is φ = 12326688000.

The previous prime is 21223301311. The next prime is 21223301357. The reversal of 21223301313 is 31310332212.

It is not a de Polignac number, because 21223301313 - 21 = 21223301311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21223301313.

It is not an unprimeable number, because it can be changed into a prime (21223301311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255463 + ... + 328188.

It is an arithmetic number, because the mean of its divisors is an integer number (1008550656).

Almost surely, 221223301313 is an apocalyptic number.

21223301313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21223301313 is a deficient number, since it is larger than the sum of its proper divisors (11050319679).

21223301313 is a wasteful number, since it uses less digits than its factorization.

21223301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583725.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21223301313 its reverse (31310332212), we get a palindrome (52533633525).

The spelling of 21223301313 in words is "twenty-one billion, two hundred twenty-three million, three hundred one thousand, three hundred thirteen".

Divisors: 1 3 17 23 31 51 69 93 391 527 713 1173 1581 2139 12121 36363 583651 1750953 9922067 13423973 18093181 29766201 40271919 54279543 228207541 307584077 416143163 684622623 922752231 1248429489 7074433771 21223301313