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10031331223032 = 2337323292337841
BaseRepresentation
bin1001000111111001100111…
…1011110010010111111000
31022111222121201110021220020
42101332121323302113320
52303323131243114112
633200155133530440
72053511511345000
oct221763173622770
938458551407806
1010031331223032
113218299a60679
121160180643a20
13579c4826b152
1426973a2a5000
15125e1087848c
hex91f99ef25f8

10031331223032 has 512 divisors, whose sum is σ = 31709283840000. Its totient is φ = 2635251548160.

The previous prime is 10031331223021. The next prime is 10031331223033. The reversal of 10031331223032 is 23032213313001.

It is a super-2 number, since 2×100313312230322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10031331222993 and 10031331223011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031331223033) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1279339432 + ... + 1279347272.

It is an arithmetic number, because the mean of its divisors is an integer number (61932195000).

Almost surely, 210031331223032 is an apocalyptic number.

10031331223032 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 10031331223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854641920000).

10031331223032 is an abundant number, since it is smaller than the sum of its proper divisors (21677952616968).

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

10031331223032 is a wasteful number, since it uses less digits than its factorization.

10031331223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8156 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10031331223032 its reverse (23032213313001), we get a palindrome (33063544536033).

The spelling of 10031331223032 in words is "ten trillion, thirty-one billion, three hundred thirty-one million, two hundred twenty-three thousand, thirty-two".