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100131112213 = 11210969110987
BaseRepresentation
bin101110101000001000…
…1111000010100010101
3100120110022100112101121
41131100101320110111
53120032031042323
6113555525123541
710143225260566
oct1352021702425
9316408315347
10100131112213
1139513447700
12174a58595b1
139599a27532
144bbc63016d
1529109d7a5d
hex1750478515

100131112213 has 24 divisors (see below), whose sum is σ = 111242072480. Its totient is φ = 90054439200.

The previous prime is 100131112199. The next prime is 100131112243. The reversal of 100131112213 is 312211131001.

It is a happy number.

It is not a de Polignac number, because 100131112213 - 221 = 100129015061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131112243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9108106 + ... + 9119092.

Almost surely, 2100131112213 is an apocalyptic number.

It is an amenable number.

100131112213 is a deficient number, since it is larger than the sum of its proper divisors (11110960267).

100131112213 is a wasteful number, since it uses less digits than its factorization.

100131112213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11809 (or 11798 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100131112213 its reverse (312211131001), we get a palindrome (412342243214).

The spelling of 100131112213 in words is "one hundred billion, one hundred thirty-one million, one hundred twelve thousand, two hundred thirteen".

Divisors: 1 11 109 121 691 1199 7601 10987 13189 75319 83611 120857 828509 1197583 1329427 7592017 9113599 13173413 83512187 144907543 827529853 918634057 9102828383 100131112213