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10120112192 = 263147108529
BaseRepresentation
bin10010110110011010…
…01010100001000000
3222010021202222002002
421123031022201000
5131211222042232
64352113043132
7505533351161
oct113315124100
928107688062
1010120112192
1143235a3093
121b652564a8
13c53853488
146c00ab768
153e36d6b62
hex25b34a840

10120112192 has 56 divisors (see below), whose sum is σ = 21171164160. Its totient is φ = 4792596480.

The previous prime is 10120112183. The next prime is 10120112269. The reversal of 10120112192 is 29121102101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38984 + ... + 147512.

Almost surely, 210120112192 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 10120112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10585582080).

10120112192 is an abundant number, since it is smaller than the sum of its proper divisors (11051051968).

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

10120112192 is a wasteful number, since it uses less digits than its factorization.

10120112192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108619 (or 108609 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 10120112192 its reverse (29121102101), we get a palindrome (39241214293).

The spelling of 10120112192 in words is "ten billion, one hundred twenty million, one hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 31 32 47 62 64 94 124 188 248 376 496 752 992 1457 1504 1984 2914 3008 5828 11656 23312 46624 93248 108529 217058 434116 868232 1736464 3364399 3472928 5100863 6728798 6945856 10201726 13457596 20403452 26915192 40806904 53830384 81613808 107660768 158126753 163227616 215321536 316253506 326455232 632507012 1265014024 2530028048 5060056096 10120112192