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113122334000 = 24531310634093
BaseRepresentation
bin110100101011010011…
…1011101010100110000
3101210222200121222102002
41221112213131110300
53323133304142000
6123545004113132
711113163655014
oct1512647352460
9353880558362
10113122334000
1143a7a676935
1219b105357a8
13a88a344810
145691b52544
152e212a38d5
hex1a569dd530

113122334000 has 160 divisors (see below), whose sum is σ = 294919707264. Its totient is φ = 41718758400.

The previous prime is 113122333991. The next prime is 113122334011. The reversal of 113122334000 is 433221311.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27635954 + ... + 27640046.

Almost surely, 2113122334000 is an apocalyptic number.

113122334000 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 113122334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459853632).

113122334000 is an abundant number, since it is smaller than the sum of its proper divisors (181797373264).

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

113122334000 is a wasteful number, since it uses less digits than its factorization.

113122334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5176 counting only the distinct ones).

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

Adding to 113122334000 its reverse (433221311), we get a palindrome (113555555311).

The spelling of 113122334000 in words is "one hundred thirteen billion, one hundred twenty-two million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1063 1300 1625 2000 2126 2600 3250 4093 4252 5200 5315 6500 8186 8504 10630 13000 13819 16372 17008 20465 21260 26000 26575 27638 32744 40930 42520 53150 53209 55276 65488 69095 81860 85040 102325 106300 106418 110552 132875 138190 163720 204650 212600 212836 221104 265750 266045 276380 327440 345475 409300 425200 425672 511625 531500 532090 552760 690950 818600 851344 1023250 1063000 1064180 1105520 1330225 1381900 1637200 1727375 2046500 2126000 2128360 2660450 2763800 3454750 4093000 4256720 4350859 5320900 5527600 6651125 6909500 8186000 8701718 10641800 13302250 13819000 17403436 21283600 21754295 26604500 27638000 34806872 43508590 53209000 56561167 69613744 87017180 106418000 108771475 113122334 174034360 217542950 226244668 282805835 348068720 435085900 452489336 543857375 565611670 870171800 904978672 1087714750 1131223340 1414029175 1740343600 2175429500 2262446680 2828058350 4350859000 4524893360 5656116700 7070145875 8701718000 11312233400 14140291750 22624466800 28280583500 56561167000 113122334000