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10132423014340 = 22511971391334127
BaseRepresentation
bin1001001101110010001101…
…1110010111011111000100
31022212122112222111101021001
42103130203132113133010
52312002200242424330
633314434301503044
72064020613400354
oct223344336273704
938778488441231
1010132423014340
113257155704740
121177893b71a84
13586639016143
142705aa328b64
1512887a8769ca
hex937237977c4

10132423014340 has 96 divisors (see below), whose sum is σ = 23454136548864. Its totient is φ = 3646163804160.

The previous prime is 10132423014271. The next prime is 10132423014341. The reversal of 10132423014340 is 4341032423101.

It is a happy number.

It is a super-2 number, since 2×101324230143402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10132423014299 and 10132423014308.

It is not an unprimeable number, because it can be changed into a prime (10132423014341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296886357 + ... + 296920483.

It is an arithmetic number, because the mean of its divisors is an integer number (244313922384).

Almost surely, 210132423014340 is an apocalyptic number.

10132423014340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132423014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11727068274432).

10132423014340 is an abundant number, since it is smaller than the sum of its proper divisors (13321713534524).

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

10132423014340 is a wasteful number, since it uses less digits than its factorization.

10132423014340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48157 (or 48155 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10132423014340 its reverse (4341032423101), we get a palindrome (14473455437441).

The spelling of 10132423014340 in words is "ten trillion, one hundred thirty-two billion, four hundred twenty-three million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 97 110 194 220 388 485 970 1067 1940 2134 4268 5335 10670 13913 21340 27826 34127 55652 68254 69565 136508 139130 153043 170635 278260 306086 341270 375397 612172 682540 750794 765215 1349561 1501588 1530430 1876985 2699122 3060860 3310319 3753970 5398244 6620638 6747805 7507940 13241276 13495610 14845171 16551595 26991220 29690342 33103190 36413509 59380684 66206380 72827018 74225855 145654036 148451710 182067545 296903420 364135090 474808951 728270180 949617902 1899235804 2374044755 4748089510 5222898461 9496179020 10445796922 20891593844 26114492305 46056468247 52228984610 92112936494 104457969220 184225872988 230282341235 460564682470 506621150717 921129364940 1013242301434 2026484602868 2533105753585 5066211507170 10132423014340