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13142413432110 = 2353717966145319
BaseRepresentation
bin1011111100111111010011…
…1000100101010100101110
31201112101212101111110111010
42333033310320211110232
53210311130314311420
643541312534410050
72524336153660044
oct277176470452456
951471771443433
1013142413432110
114207736840126
121583107800926
1374442a559b41
1433614bdac394
1517bce71d44e0
hexbf3f4e2552e

13142413432110 has 64 divisors (see below), whose sum is σ = 32575247193600. Its totient is φ = 3390873581952.

The previous prime is 13142413432097. The next prime is 13142413432129. The reversal of 13142413432110 is 1123431424131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32873970 + ... + 33271349.

It is an arithmetic number, because the mean of its divisors is an integer number (508988237400).

Almost surely, 213142413432110 is an apocalyptic number.

13142413432110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13142413432110 is an abundant number, since it is smaller than the sum of its proper divisors (19432833761490).

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

13142413432110 is a wasteful number, since it uses less digits than its factorization.

13142413432110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66145545.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 13142413432110 its reverse (1123431424131), we get a palindrome (14265844856241).

The spelling of 13142413432110 in words is "thirteen trillion, one hundred forty-two billion, four hundred thirteen million, four hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 179 185 222 358 370 537 555 895 1074 1110 1790 2685 5370 6623 13246 19869 33115 39738 66230 99345 198690 66145319 132290638 198435957 330726595 396871914 661453190 992179785 1984359570 2447376803 4894753606 7342130409 11840012101 12236884015 14684260818 23680024202 24473768030 35520036303 36710652045 59200060505 71040072606 73421304090 118400121010 177600181515 355200363030 438080447737 876160895474 1314241343211 2190402238685 2628482686422 4380804477370 6571206716055 13142413432110