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10120091064 = 2338311344959
BaseRepresentation
bin10010110110011010…
…00101010110111000
3222010021201220002120
421123031011112320
5131211220403224
64352112401240
7505533232446
oct113315052670
928107656076
1010120091064
114323589226
121b65246220
13c53846985
146c00a3b96
153e36d0779
hex25b3455b8

10120091064 has 64 divisors (see below), whose sum is σ = 25832217600. Its totient is φ = 3303154176.

The previous prime is 10120091029. The next prime is 10120091077. The reversal of 10120091064 is 46019002101.

10120091064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202617 + ... + 247575.

It is an arithmetic number, because the mean of its divisors is an integer number (403628400).

Almost surely, 210120091064 is an apocalyptic number.

It is an amenable number.

10120091064 is an abundant number, since it is smaller than the sum of its proper divisors (15712126536).

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

10120091064 is a wasteful number, since it uses less digits than its factorization.

10120091064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45164 (or 45160 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 10120091064 its reverse (46019002101), we get a palindrome (56139093165).

The spelling of 10120091064 in words is "ten billion, one hundred twenty million, ninety-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 83 113 166 226 249 332 339 452 498 664 678 904 996 1356 1992 2712 9379 18758 28137 37516 44959 56274 75032 89918 112548 134877 179836 225096 269754 359672 539508 1079016 3731597 5080367 7463194 10160734 11194791 14926388 15241101 20321468 22389582 29852776 30482202 40642936 44779164 60964404 89558328 121928808 421670461 843340922 1265011383 1686681844 2530022766 3373363688 5060045532 10120091064