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21531212440 = 23531100917209
BaseRepresentation
bin10100000011010111…
…000011101010011000
32001120112202220211121
4110003113003222120
5323043442244230
613520304335024
71361364200053
oct240327035230
961515686747
1021531212440
119149898651
12420a914474
1320519a79ba
1410837d1a9a
158603cd77a
hex5035c3a98

21531212440 has 64 divisors (see below), whose sum is σ = 50060448000. Its totient is φ = 8325918720.

The previous prime is 21531212413. The next prime is 21531212449. The reversal of 21531212440 is 4421213512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21531212449) 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, 1242556 + ... + 1259764.

It is an arithmetic number, because the mean of its divisors is an integer number (782194500).

Almost surely, 221531212440 is an apocalyptic number.

21531212440 is a gapful number since it is divisible by the number (20) 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 21531212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25030224000).

21531212440 is an abundant number, since it is smaller than the sum of its proper divisors (28529235560).

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

21531212440 is a wasteful number, since it uses less digits than its factorization.

21531212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18260 (or 18256 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 21531212440 its reverse (4421213512), we get a palindrome (25952425952).

The spelling of 21531212440 in words is "twenty-one billion, five hundred thirty-one million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1009 1240 2018 4036 5045 8072 10090 17209 20180 31279 34418 40360 62558 68836 86045 125116 137672 156395 172090 250232 312790 344180 533479 625580 688360 1066958 1251160 2133916 2667395 4267832 5334790 10669580 17363881 21339160 34727762 69455524 86819405 138911048 173638810 347277620 538280311 694555240 1076560622 2153121244 2691401555 4306242488 5382803110 10765606220 21531212440