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12101413100 = 2252717287733
BaseRepresentation
bin10110100010100110…
…01110100011101100
31011020100221110222012
423101103032203230
5144240430204400
65320451140352
7605612212520
oct132123164354
934210843865
1012101413100
11514aa28857
1224188a46b8
1311ab18158a
1482b299d80
154ac603d35
hex2d14ce8ec

12101413100 has 36 divisors (see below), whose sum is σ = 30011506224. Its totient is φ = 4149055680.

The previous prime is 12101413067. The next prime is 12101413111. The reversal of 12101413100 is 131410121.

12101413100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121014131002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8643167 + ... + 8644566.

Almost surely, 212101413100 is an apocalyptic number.

12101413100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101413100 is an abundant number, since it is smaller than the sum of its proper divisors (17910093124).

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

12101413100 is a wasteful number, since it uses less digits than its factorization.

12101413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17287754 (or 17287747 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12101413100 its reverse (131410121), we get a palindrome (12232823221).

The spelling of 12101413100 in words is "twelve billion, one hundred one million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 17287733 34575466 69150932 86438665 121014131 172877330 242028262 345754660 432193325 484056524 605070655 864386650 1210141310 1728773300 2420282620 3025353275 6050706550 12101413100