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315232131000 = 2335322322113
BaseRepresentation
bin1001001011001010100…
…11001001011110111000
31010010200001212110022010
410211211103021132320
520131043411143000
6400452102325520
731526513621463
oct4454523113670
91103601773263
10315232131000
11111764357816
12511167298a0
13239597a1b87
14113861102da
1582eea77d50
hex49654c97b8

315232131000 has 192 divisors, whose sum is σ = 988422009120. Its totient is φ = 83645337600.

The previous prime is 315232130977. The next prime is 315232131047. The reversal of 315232131000 is 131232513.

It is a super-2 number, since 2×3152321310002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149185944 + ... + 149188056.

Almost surely, 2315232131000 is an apocalyptic number.

315232131000 is a gapful number since it is divisible by the number (30) 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 315232131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494211004560).

315232131000 is an abundant number, since it is smaller than the sum of its proper divisors (673189878120).

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

315232131000 is a wasteful number, since it uses less digits than its factorization.

315232131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 315232131000 its reverse (131232513), we get a palindrome (315363363513).

The spelling of 315232131000 in words is "three hundred fifteen billion, two hundred thirty-two million, one hundred thirty-one thousand".