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13223100312 = 2334191074001
BaseRepresentation
bin11000101000010100…
…00111111110011000
31021010112121002120000
430110022013332120
5204040103202222
610024040533000
7645452332602
oct142412077630
937115532500
1013223100312
115676105a84
122690481160
131329686616
148d6242172
15525d209ac
hex314287f98

13223100312 has 80 divisors (see below), whose sum is σ = 38986272600. Its totient is φ = 4175712000.

The previous prime is 13223100239. The next prime is 13223100337. The reversal of 13223100312 is 21300132231.

13223100312 is a `hidden beast` number, since 1 + 322 + 31 + 0 + 0 + 312 = 666.

It is a super-2 number, since 2×132231003122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 524689 + ... + 549312.

Almost surely, 213223100312 is an apocalyptic number.

13223100312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13223100312 is an abundant number, since it is smaller than the sum of its proper divisors (25763172288).

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

13223100312 is a wasteful number, since it uses less digits than its factorization.

13223100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074038 (or 1074025 counting only the distinct ones).

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

Adding to 13223100312 its reverse (21300132231), we get a palindrome (34523232543).

The spelling of 13223100312 in words is "thirteen billion, two hundred twenty-three million, one hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 456 513 648 684 1026 1368 1539 2052 3078 4104 6156 12312 1074001 2148002 3222003 4296004 6444006 8592008 9666009 12888012 19332018 20406019 25776024 28998027 38664036 40812038 57996054 61218057 77328072 81624076 86994081 115992108 122436114 163248152 173988162 183654171 231984216 244872228 347976324 367308342 489744456 550962513 695952648 734616684 1101925026 1469233368 1652887539 2203850052 3305775078 4407700104 6611550156 13223100312