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113221331300 = 225271194715527
BaseRepresentation
bin110100101110010000…
…1000110100101100100
3101211020120220120011202
41221130201012211210
53323334130100200
6124002502022032
711115505302620
oct1513441064544
9354216816152
10113221331300
1144020542a90
1219b39717918
13a8a49c6abc
1456a0d62180
152e29d0b1d5
hex1a5c846964

113221331300 has 144 divisors (see below), whose sum is σ = 306658372608. Its totient is φ = 35250230400.

The previous prime is 113221331207. The next prime is 113221331329. The reversal of 113221331300 is 3133122311.

113221331300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1132213313002 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7284137 + ... + 7299663.

It is an arithmetic number, because the mean of its divisors is an integer number (2129572032).

Almost surely, 2113221331300 is an apocalyptic number.

113221331300 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 113221331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153329186304).

113221331300 is an abundant number, since it is smaller than the sum of its proper divisors (193437041308).

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

113221331300 is a wasteful number, since it uses less digits than its factorization.

113221331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16506 (or 16499 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 113221331300 its reverse (3133122311), we get a palindrome (116354453611).

The spelling of 113221331300 in words is "one hundred thirteen billion, two hundred twenty-one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 947 1100 1540 1894 1925 3788 3850 4735 6629 7700 9470 10417 13258 15527 18940 20834 23675 26516 31054 33145 41668 47350 52085 62108 66290 72919 77635 94700 104170 108689 132580 145838 155270 165725 170797 208340 217378 260425 291676 310540 331450 341594 364595 388175 434756 520850 543445 662900 683188 729190 776350 853985 1041700 1086890 1195579 1458380 1552700 1707970 1822975 2173780 2391158 2717225 3415940 3645950 4269925 4782316 5434450 5977895 7291900 8539850 10868900 11955790 14704069 17079700 23911580 29408138 29889475 58816276 59778950 73520345 102928483 119557900 147040690 161744759 205856966 294081380 323489518 367601725 411713932 514642415 646979036 735203450 808723795 1029284830 1132213313 1470406900 1617447590 2058569660 2264426626 2573212075 3234895180 4043618975 4528853252 5146424150 5661066565 8087237950 10292848300 11322133130 16174475900 22644266260 28305332825 56610665650 113221331300