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113401111300 = 225223376719889
BaseRepresentation
bin110100110011100111…
…0111010001100000100
3101211201010012022222021
41221213032322030010
53324221141030200
6124032403212524
711123120353561
oct1514716721404
9354633168867
10113401111300
1144102a753a4
1219b89977144
13a9030217b9
1456bab9d868
152e3a9be41a
hex1a673ba304

113401111300 has 144 divisors (see below), whose sum is σ = 267669118080. Its totient is φ = 41583421440.

The previous prime is 113401111297. The next prime is 113401111303. The reversal of 113401111300 is 3111104311.

It is an interprime number because it is at equal distance from previous prime (113401111297) and next prime (113401111303).

It is not an unprimeable number, because it can be changed into a prime (113401111303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5691756 + ... + 5711644.

It is an arithmetic number, because the mean of its divisors is an integer number (1858813320).

Almost surely, 2113401111300 is an apocalyptic number.

113401111300 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 113401111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133834559040).

113401111300 is an abundant number, since it is smaller than the sum of its proper divisors (154268006780).

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

113401111300 is a wasteful number, since it uses less digits than its factorization.

113401111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20030 (or 20023 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 113401111300 its reverse (3111104311), we get a palindrome (116512215611).

The spelling of 113401111300 in words is "one hundred thirteen billion, four hundred one million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 37 46 50 67 74 92 100 115 134 148 185 230 268 335 370 460 575 670 740 851 925 1150 1340 1541 1675 1702 1850 2300 2479 3082 3350 3404 3700 4255 4958 6164 6700 7705 8510 9916 12395 15410 17020 19889 21275 24790 30820 38525 39778 42550 49580 57017 61975 77050 79556 85100 99445 114034 123950 154100 198890 228068 247900 285085 397780 457447 497225 570170 735893 914894 994450 1140340 1332563 1425425 1471786 1829788 1988900 2287235 2665126 2850850 2943572 3679465 4574470 5330252 5701700 6662815 7358930 9148940 11436175 13325630 14717860 16925539 18397325 22872350 26651260 30648949 33314075 33851078 36794650 45744700 49304831 61297898 66628150 67702156 73589300 84627695 98609662 122595796 133256300 153244745 169255390 197219324 246524155 306489490 338510780 423138475 493048310 612978980 766223725 846276950 986096620 1134011113 1232620775 1532447450 1692553900 2268022226 2465241550 3064894900 4536044452 4930483100 5670055565 11340111130 22680222260 28350277825 56700555650 113401111300