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10130132112 = 2431928433907
BaseRepresentation
bin10010110111100110…
…11000110010010000
3222010222122000211020
421123303120302100
5131221303211422
64353111515440
7506014462602
oct113363306220
928128560736
1010130132112
114329217211
121b68688b80
13c55951119
146c1559172
153e451595c
hex25bcd8c90

10130132112 has 80 divisors (see below), whose sum is σ = 27563592960. Its totient is φ = 3197045376.

The previous prime is 10130132069. The next prime is 10130132123. The reversal of 10130132112 is 21123103101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10130132091 and 10130132100.

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, 2590863 + ... + 2594769.

It is an arithmetic number, because the mean of its divisors is an integer number (344544912).

Almost surely, 210130132112 is an apocalyptic number.

10130132112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10130132112 is an abundant number, since it is smaller than the sum of its proper divisors (17433460848).

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

10130132112 is a wasteful number, since it uses less digits than its factorization.

10130132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6780 (or 6774 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10130132112 its reverse (21123103101), we get a palindrome (31253235213).

The spelling of 10130132112 in words is "ten billion, one hundred thirty million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2843 3907 5686 7814 8529 11372 11721 15628 17058 22744 23442 31256 34116 45488 46884 54017 62512 68232 74233 93768 108034 136464 148466 162051 187536 216068 222699 296932 324102 432136 445398 593864 648204 864272 890796 1187728 1296408 1781592 2592816 3563184 11107601 22215202 33322803 44430404 66645606 88860808 133291212 177721616 211044419 266582424 422088838 533164848 633133257 844177676 1266266514 1688355352 2532533028 3376710704 5065066056 10130132112