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13031212001100 = 223522291260115053
BaseRepresentation
bin1011110110100001000011…
…0000110010011101001100
31201010202211120101110121020
42331220100300302131030
53202000410233013400
643414242310034140
72513321403261216
oct275502060623514
951122746343536
1013031212001100
1141745624a7127
121565652648950
13736ab8187317
143309dd4055b6
15178e898bc2a0
hexbda10c3274c

13031212001100 has 144 divisors (see below), whose sum is σ = 37873805817120. Its totient is φ = 3459310848000.

The previous prime is 13031212001053. The next prime is 13031212001107. The reversal of 13031212001100 is 110021213031.

It is a happy number.

It is a super-2 number, since 2×130312120011002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13031212001100.

It is not an unprimeable number, because it can be changed into a prime (13031212001107) 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, 865681174 + ... + 865696226.

Almost surely, 213031212001100 is an apocalyptic number.

13031212001100 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 13031212001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18936902908560).

13031212001100 is an abundant number, since it is smaller than the sum of its proper divisors (24842593816020).

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

13031212001100 is a wasteful number, since it uses less digits than its factorization.

13031212001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27900 (or 27893 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13031212001100 its reverse (110021213031), we get a palindrome (13141233214131).

The spelling of 13031212001100 in words is "thirteen trillion, thirty-one billion, two hundred twelve million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 687 916 1145 1374 2290 2748 3435 4580 5725 6870 11450 12601 13740 15053 17175 22900 25202 30106 34350 37803 45159 50404 60212 63005 68700 75265 75606 90318 126010 150530 151212 180636 189015 225795 252020 301060 315025 376325 378030 451590 630050 752650 756060 903180 945075 1128975 1260100 1505300 1890150 2257950 2885629 3447137 3780300 4515900 5771258 6894274 8656887 10341411 11542516 13788548 14428145 17235685 17313774 20682822 28856290 34471370 34627548 41365644 43284435 51707055 57712580 68942740 72140725 86178425 86568870 103414110 144281450 172356850 173137740 189682853 206828220 216422175 258535275 288562900 344713700 379365706 432844350 517070550 569048559 758731412 865688700 948414265 1034141100 1138097118 1896828530 2276194236 2845242795 3793657060 4742071325 5690485590 9484142650 11380971180 14226213975 18968285300 28452427950 43437373337 56904855900 86874746674 130312120011 173749493348 217186866685 260624240022 434373733370 521248480044 651560600055 868747466740 1085934333425 1303121200110 2171868666850 2606242400220 3257803000275 4343737333700 6515606000550 13031212001100