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12013001100 = 22325299113469
BaseRepresentation
bin10110011000000011…
…11101100110001100
31011000012120200111200
423030001331212030
5144100312013400
65304012145500
7603456552552
oct131401754614
934005520450
1012013001100
115105031591
1223b3168290
131195a67399
1481d643bd2
154a498cb00
hex2cc07d98c

12013001100 has 108 divisors (see below), whose sum is σ = 37694879040. Its totient is φ = 3199996800.

The previous prime is 12013001089. The next prime is 12013001101. The reversal of 12013001100 is 110031021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12013001101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 885166 + ... + 898634.

Almost surely, 212013001100 is an apocalyptic number.

12013001100 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 12013001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18847439520).

12013001100 is an abundant number, since it is smaller than the sum of its proper divisors (25681877940).

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

12013001100 is a wasteful number, since it uses less digits than its factorization.

12013001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14480 (or 14470 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 12013001100 its reverse (110031021), we get a palindrome (12123032121).

The spelling of 12013001100 in words is "twelve billion, thirteen million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 991 1982 2973 3964 4955 5946 8919 9910 11892 13469 14865 17838 19820 24775 26938 29730 35676 40407 44595 49550 53876 59460 67345 74325 80814 89190 99100 121221 134690 148650 161628 178380 202035 222975 242442 269380 297300 336725 404070 445950 484884 606105 673450 808140 891900 1010175 1212210 1346900 2020350 2424420 3030525 4040700 6061050 12122100 13347779 26695558 40043337 53391116 66738895 80086674 120130011 133477790 160173348 200216685 240260022 266955580 333694475 400433370 480520044 600650055 667388950 800866740 1001083425 1201300110 1334777900 2002166850 2402600220 3003250275 4004333700 6006500550 12013001100