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100000113213 = 37211134757153
BaseRepresentation
bin101110100100001111…
…0001010001000111101
3100120010011212002112210
41131020132022020331
53114300012110323
6113534525251033
710140044636400
oct1351036121075
9316104762483
10100000113213
1139456503170
1217469a03a79
13957884c130
144ba908dd37
15290425d293
hex174878a23d

100000113213 has 48 divisors (see below), whose sum is σ = 182218026816. Its totient is φ = 47952092160.

The previous prime is 100000113211. The next prime is 100000113287. The reversal of 100000113213 is 312311000001.

It is not a de Polignac number, because 100000113213 - 21 = 100000113211 is a prime.

It is a super-2 number, since 2×1000001132132 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000113211) 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, 2357556 + ... + 2399597.

It is an arithmetic number, because the mean of its divisors is an integer number (3796208892).

Almost surely, 2100000113213 is an apocalyptic number.

100000113213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100000113213 is a deficient number, since it is larger than the sum of its proper divisors (82217913603).

100000113213 is a wasteful number, since it uses less digits than its factorization.

100000113213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757194 (or 4757187 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100000113213 its reverse (312311000001), we get a palindrome (412311113214).

The spelling of 100000113213 in words is "one hundred billion, one hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 429 539 637 1001 1617 1911 3003 7007 21021 4757153 14271459 33300071 52328683 61842989 99900213 156986049 185528967 233100497 366300781 432900923 680272879 699301491 1098902343 1298702769 2040818637 2564105467 3030306461 4761910153 7692316401 9090919383 14285730459 33333371071 100000113213