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113816712725010 = 23351739296311191
BaseRepresentation
bin11001111000010000000100…
…101110110100001000010010
3112220222202211101220012021000
4121320100010232310020102
5104404233111424200020
61042022402003242430
732654662146426531
oct3170200456641022
9486882741805230
10113816712725010
11332a1440157299
1210922536979416
134b67b403aa309
142016a88a5c318
15d259795c7090
hex678404bb4212

113816712725010 has 128 divisors (see below), whose sum is σ = 321446679897600. Its totient is φ = 28558488176640.

The previous prime is 113816712725003. The next prime is 113816712725011. The reversal of 113816712725010 is 10527217618311.

113816712725010 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 1 + 6 + 71 + 2 + 72 + 501 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (113816712725011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14878515 + ... + 21189705.

It is an arithmetic number, because the mean of its divisors is an integer number (2511302186700).

Almost surely, 2113816712725010 is an apocalyptic number.

113816712725010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113816712725010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160723339948800).

113816712725010 is an abundant number, since it is smaller than the sum of its proper divisors (207629967172590).

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

113816712725010 is a wasteful number, since it uses less digits than its factorization.

113816712725010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315153 (or 6315147 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 113816712725010 in words is "one hundred thirteen trillion, eight hundred sixteen billion, seven hundred twelve million, seven hundred twenty-five thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 3929 4590 7858 11787 19645 23574 35361 39290 58935 66793 70722 106083 117870 133586 176805 200379 212166 333965 353610 400758 530415 601137 667930 1001895 1060830 1202274 1803411 2003790 3005685 3606822 6011370 6311191 9017055 12622382 18034110 18933573 31555955 37867146 56800719 63111910 94667865 107290247 113601438 170402157 189335730 214580494 284003595 321870741 340804314 536451235 568007190 643741482 852010785 965612223 1072902470 1609353705 1704021570 1931224446 2896836669 3218707410 4828061115 5793673338 9656122230 14484183345 24796669439 28968366690 49593338878 74390008317 123983347195 148780016634 223170024951 247966694390 371950041585 421543380463 446340049902 669510074853 743900083170 843086760926 1115850124755 1264630141389 1339020149706 2107716902315 2231700249510 2529260282778 3347550374265 3793890424167 4215433804630 6323150706945 6695100748530 7587780848334 11381671272501 12646301413890 18969452120835 22763342545002 37938904241670 56908356362505 113816712725010