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10311322032 = 243511353683
BaseRepresentation
bin10011001101001101…
…00100100110110000
3222121121120102200000
421212212210212300
5132104144301112
64423103230000
7513344535234
oct114646444660
928547512600
1010311322032
114411521950
121bb92a8300
13c843507ab
146db6425c4
154053a67dc
hex2669a49b0

10311322032 has 240 divisors, whose sum is σ = 32787151488. Its totient is φ = 3111229440.

The previous prime is 10311322013. The next prime is 10311322079. The reversal of 10311322032 is 23022311301.

10311322032 is a `hidden beast` number, since 1 + 0 + 311 + 322 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10311321996 and 10311322014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15096763 + ... + 15097445.

Almost surely, 210311322032 is an apocalyptic number.

10311322032 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 10311322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16393575744).

10311322032 is an abundant number, since it is smaller than the sum of its proper divisors (22475829456).

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

10311322032 is a wasteful number, since it uses less digits than its factorization.

10311322032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10311322032 its reverse (23022311301), we get a palindrome (33333633333).

The spelling of 10311322032 in words is "ten billion, three hundred eleven million, three hundred twenty-two thousand, thirty-two".