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10132014140 = 2253725795309
BaseRepresentation
bin10010110111110101…
…00100010000111100
3222011010011122110222
421123322210100330
5131222243423030
64353220120512
7506036461553
oct113372442074
928133148428
1010132014140
11432a292206
121b69236138
13c5615c951
146c18c8d9a
153e47883e5
hex25bea443c

10132014140 has 48 divisors (see below), whose sum is σ = 21864880800. Its totient is φ = 3940998912.

The previous prime is 10132014121. The next prime is 10132014163. The reversal of 10132014140 is 4141023101.

It is a happy number.

10132014140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1905806 + ... + 1911114.

It is an arithmetic number, because the mean of its divisors is an integer number (455518350).

Almost surely, 210132014140 is an apocalyptic number.

10132014140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132014140 is an abundant number, since it is smaller than the sum of its proper divisors (11732866660).

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

10132014140 is a wasteful number, since it uses less digits than its factorization.

10132014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10132014140 its reverse (4141023101), we get a palindrome (14273037241).

The spelling of 10132014140 in words is "ten billion, one hundred thirty-two million, fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 2579 5158 5309 10316 10618 12895 21236 25790 26545 51580 53090 95423 106180 190846 196433 381692 392866 477115 785732 954230 982165 1908460 1964330 3928660 13691911 27383822 54767644 68459555 136919110 273838220 506600707 1013201414 2026402828 2533003535 5066007070 10132014140