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10313372832 = 2537831791033
BaseRepresentation
bin10011001101011100…
…11001010010100000
3222121202102121211120
421212232121102200
5132110210412312
64423215212240
7513401136240
oct114656312240
928552377746
1010313372832
1144126a2724
121bb9b17080
13c848bb099
146dba17b20
1540565e28c
hex266b994a0

10313372832 has 192 divisors, whose sum is σ = 31518305280. Its totient is φ = 2892109824.

The previous prime is 10313372831. The next prime is 10313372833. The reversal of 10313372832 is 23827331301.

It is an interprime number because it is at equal distance from previous prime (10313372831) and next prime (10313372833).

It is a junction number, because it is equal to n+sod(n) for n = 10313372793 and 10313372802.

It is not an unprimeable number, because it can be changed into a prime (10313372831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9983388 + ... + 9984420.

It is an arithmetic number, because the mean of its divisors is an integer number (164157840).

Almost surely, 210313372832 is an apocalyptic number.

10313372832 is a gapful number since it is divisible by the number (12) 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 10313372832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759152640).

10313372832 is an abundant number, since it is smaller than the sum of its proper divisors (21204932448).

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

10313372832 is a wasteful number, since it uses less digits than its factorization.

10313372832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 10313372832 in words is "ten billion, three hundred thirteen million, three hundred seventy-two thousand, eight hundred thirty-two".