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10214110140 = 22351313095013
BaseRepresentation
bin10011000001100111…
…01111001110111100
3222100211122120000120
421200303233032330
5131404303011030
64405311454540
7511054334523
oct114063571674
928324576016
1010214110140
114371665143
121b90827450
13c6a175070
146cc7794ba
153ebaa3010
hex260cef3bc

10214110140 has 48 divisors (see below), whose sum is σ = 30799472928. Its totient is φ = 2514242304.

The previous prime is 10214110133. The next prime is 10214110163. The reversal of 10214110140 is 4101141201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6546727 + ... + 6548286.

It is an arithmetic number, because the mean of its divisors is an integer number (641655686).

Almost surely, 210214110140 is an apocalyptic number.

10214110140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214110140 is an abundant number, since it is smaller than the sum of its proper divisors (20585362788).

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

10214110140 is a wasteful number, since it uses less digits than its factorization.

10214110140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095038 (or 13095036 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10214110140 its reverse (4101141201), we get a palindrome (14315251341).

The spelling of 10214110140 in words is "ten billion, two hundred fourteen million, one hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 13095013 26190026 39285039 52380052 65475065 78570078 130950130 157140156 170235169 196425195 261900260 340470338 392850390 510705507 680940676 785700780 851175845 1021411014 1702351690 2042822028 2553527535 3404703380 5107055070 10214110140