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531421132000 = 25531129341221
BaseRepresentation
bin1111011101110110010…
…10101111010011100000
31212210200122121121020011
413232323022233103200
532201322302211000
61044044223054304
753252053043233
oct7567312572340
91783618547204
10531421132000
11195413413a90
1286baba41394
133b160a80085
141ba142c141a
15dc543c82ba
hex7bbb2af4e0

531421132000 has 192 divisors, whose sum is σ = 1429297990848. Its totient is φ = 192579840000.

The previous prime is 531421131977. The next prime is 531421132001. The reversal of 531421132000 is 231124135.

It is a happy number.

It is a super-2 number, since 2×5314211320002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531421132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12871390 + ... + 12912610.

It is an arithmetic number, because the mean of its divisors is an integer number (7444260369).

Almost surely, 2531421132000 is an apocalyptic number.

531421132000 is a gapful number since it is divisible by the number (50) 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 531421132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714648995424).

531421132000 is an abundant number, since it is smaller than the sum of its proper divisors (897876858848).

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

531421132000 is a wasteful number, since it uses less digits than its factorization.

531421132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41550 (or 41532 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 531421132000 its reverse (231124135), we get a palindrome (531652256135).

The spelling of 531421132000 in words is "five hundred thirty-one billion, four hundred twenty-one million, one hundred thirty-two thousand".