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10132313240 = 235776947057
BaseRepresentation
bin10010110111110111…
…01101010010011000
3222011010201211202202
421123323231102120
5131222333010430
64353230345332
7506042145560
oct113373552230
928133654682
1010132313240
11432a4769a5
121b6935b248
13c56235b2a
146c1965da0
153e47e6d45
hex25beed498

10132313240 has 64 divisors (see below), whose sum is σ = 26088955200. Its totient is φ = 3469344768.

The previous prime is 10132313197. The next prime is 10132313249. The reversal of 10132313240 is 4231323101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132313249) by changing a digit.

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, 191792 + ... + 238848.

It is an arithmetic number, because the mean of its divisors is an integer number (407639925).

Almost surely, 210132313240 is an apocalyptic number.

10132313240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132313240 is an abundant number, since it is smaller than the sum of its proper divisors (15956641960).

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

10132313240 is a wasteful number, since it uses less digits than its factorization.

10132313240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47844 (or 47840 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10132313240 its reverse (4231323101), we get a palindrome (14363636341).

The spelling of 10132313240 in words is "ten billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 769 1538 3076 3845 5383 6152 7690 10766 15380 21532 26915 30760 43064 47057 53830 94114 107660 188228 215320 235285 329399 376456 470570 658798 941140 1317596 1646995 1882280 2635192 3293990 6587980 13175960 36186833 72373666 144747332 180934165 253307831 289494664 361868330 506615662 723736660 1013231324 1266539155 1447473320 2026462648 2533078310 5066156620 10132313240