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10331223130032 = 2437241434994993
BaseRepresentation
bin1001011001010110110011…
…1000100111111110110000
31100120122200200222121220220
42112111230320213332300
52323231321110130112
633550033130133040
72114256224450400
oct226255470477660
940518620877826
1010331223130032
1133234a1139012
1211aa315881180
1359c2cb8816ac
1427a068d0a800
1512db137d498c
hex9656ce27fb0

10331223130032 has 480 divisors, whose sum is σ = 32614975008000. Its totient is φ = 2806612623360.

The previous prime is 10331223130013. The next prime is 10331223130069. The reversal of 10331223130032 is 23003132213301.

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 = 10331223129984 and 10331223130011.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2069138928 + ... + 2069143920.

It is an arithmetic number, because the mean of its divisors is an integer number (67947864600).

Almost surely, 210331223130032 is an apocalyptic number.

10331223130032 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 10331223130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307487504000).

10331223130032 is an abundant number, since it is smaller than the sum of its proper divisors (22283751877968).

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

10331223130032 is a wasteful number, since it uses less digits than its factorization.

10331223130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5588 counting only the distinct ones).

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

Adding to 10331223130032 its reverse (23003132213301), we get a palindrome (33334355343333).

The spelling of 10331223130032 in words is "ten trillion, three hundred thirty-one billion, two hundred twenty-three million, one hundred thirty thousand, thirty-two".