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10322442032 = 2471992711709
BaseRepresentation
bin10011001110100001…
…11111011100110000
3222122101111101102212
421213100333130300
5132120021121112
64424141431252
7513541211120
oct114720773460
928571441385
1010322442032
114417827531
122000b6b528
13c86745086
146dccd8c80
15406351522
hex26743f730

10322442032 has 80 divisors (see below), whose sum is σ = 23069952000. Its totient is φ = 4382864640.

The previous prime is 10322442019. The next prime is 10322442043. The reversal of 10322442032 is 23024422301.

It is a junction number, because it is equal to n+sod(n) for n = 10322441989 and 10322442007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6039194 + ... + 6040902.

It is an arithmetic number, because the mean of its divisors is an integer number (288374400).

Almost surely, 210322442032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10322442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534976000).

10322442032 is an abundant number, since it is smaller than the sum of its proper divisors (12747509968).

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

10322442032 is a wasteful number, since it uses less digits than its factorization.

10322442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 10322442032 its reverse (23024422301), we get a palindrome (33346864333).

The spelling of 10322442032 in words is "ten billion, three hundred twenty-two million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 199 271 398 542 796 1084 1393 1592 1709 1897 2168 2786 3184 3418 3794 4336 5572 6836 7588 11144 11963 13672 15176 22288 23926 27344 30352 47852 53929 95704 107858 191408 215716 340091 377503 431432 463139 680182 755006 862864 926278 1360364 1510012 1852556 2380637 2720728 3020024 3241973 3705112 4761274 5441456 6040048 6483946 7410224 9522548 12967892 19045096 25935784 38090192 51871568 92164661 184329322 368658644 645152627 737317288 1290305254 1474634576 2580610508 5161221016 10322442032