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113000221332 = 223237435873361
BaseRepresentation
bin110100100111101010…
…1101000101010010100
3101210200011212000022200
41221033111220222110
53322411024040312
6123524522524500
711110152014265
oct1511725505224
9353604760280
10113000221332
1143a17751879
1219a97666730
13a86ac5b0bb
14567d84696c
152e156d20dc
hex1a4f568a94

113000221332 has 144 divisors (see below), whose sum is σ = 300782594112. Its totient is φ = 35724810240.

The previous prime is 113000221309. The next prime is 113000221333. The reversal of 113000221332 is 233122000311.

113000221332 is a `hidden beast` number, since 11 + 300 + 0 + 2 + 21 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113000221333) 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, 33619332 + ... + 33622692.

Almost surely, 2113000221332 is an apocalyptic number.

113000221332 is a gapful number since it is divisible by the number (12) 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 113000221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150391297056).

113000221332 is an abundant number, since it is smaller than the sum of its proper divisors (187782372780).

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

113000221332 is a wasteful number, since it uses less digits than its factorization.

113000221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4038 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113000221332 its reverse (233122000311), we get a palindrome (346122221643).

The spelling of 113000221332 in words is "one hundred thirteen billion, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 43 74 86 111 129 148 172 222 258 333 387 444 516 587 666 774 1174 1332 1548 1591 1761 2348 3182 3361 3522 4773 5283 6364 6722 7044 9546 10083 10566 13444 14319 19092 20166 21132 21719 25241 28638 30249 40332 43438 50482 57276 60498 65157 75723 86876 100964 120996 124357 130314 144523 151446 195471 227169 248714 260628 289046 302892 373071 390942 433569 454338 497428 578092 746142 781884 867138 908676 933917 1119213 1300707 1492284 1734276 1867834 1972907 2238426 2601414 2801751 3735668 3945814 4476852 5202828 5347351 5603502 5918721 7891628 8405253 10694702 11207004 11837442 16042053 16810506 17756163 21389404 23674884 32084106 33621012 35512326 48126159 64168212 71024652 72997559 84835001 96252318 145995118 169670002 192504636 218992677 254505003 291990236 339340004 437985354 509010006 656978031 763515009 875970708 1018020012 1313956062 1527030018 2627912124 3054060036 3138895037 6277790074 9416685111 12555580148 18833370222 28250055333 37666740444 56500110666 113000221332