Search a number
-
+
100212013140 = 22352957593111
BaseRepresentation
bin101110101010100011…
…0011111100001010100
3100120122221120201121020
41131111012133201110
53120213233410030
6114011535121140
710145230025421
oct1352506374124
9316587521536
10100212013140
1139555083778
12175089731b0
1395b07119c5
144bc928cd48
152917b68510
hex175519f854

100212013140 has 48 divisors (see below), whose sum is σ = 290269284480. Its totient is φ = 25801713280.

The previous prime is 100212013133. The next prime is 100212013183. The reversal of 100212013140 is 41310212001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28794816 + ... + 28798295.

It is an arithmetic number, because the mean of its divisors is an integer number (6047276760).

Almost surely, 2100212013140 is an apocalyptic number.

100212013140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212013140 is an abundant number, since it is smaller than the sum of its proper divisors (190057271340).

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

100212013140 is a wasteful number, since it uses less digits than its factorization.

100212013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57593152 (or 57593150 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100212013140 its reverse (41310212001), we get a palindrome (141522225141).

The spelling of 100212013140 in words is "one hundred billion, two hundred twelve million, thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 57593111 115186222 172779333 230372444 287965555 345558666 575931110 691117332 863896665 1151862220 1670200219 1727793330 3340400438 3455586660 5010600657 6680800876 8351001095 10021201314 16702002190 20042402628 25053003285 33404004380 50106006570 100212013140