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100414441212 = 223171313757463
BaseRepresentation
bin101110110000100101…
…0101100011011111100
3100121012001111010201020
41131201022230123330
53121122044104322
6114044005544140
710153235444631
oct1354112543374
9317161433636
10100414441212
11396493749a8
1217564715050
139613639227
144c08104188
15292a80205c
hex17612ac6fc

100414441212 has 48 divisors (see below), whose sum is σ = 249976564992. Its totient is φ = 31262083840.

The previous prime is 100414441207. The next prime is 100414441219. The reversal of 100414441212 is 212144414001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100414441219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852008 + ... + 1905455.

It is an arithmetic number, because the mean of its divisors is an integer number (5207845104).

Almost surely, 2100414441212 is an apocalyptic number.

100414441212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100414441212 is an abundant number, since it is smaller than the sum of its proper divisors (149562123780).

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

100414441212 is a wasteful number, since it uses less digits than its factorization.

100414441212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757618 (or 3757616 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 100414441212 its reverse (212144414001), we get a palindrome (312558855213).

The spelling of 100414441212 in words is "one hundred billion, four hundred fourteen million, four hundred forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 131 204 262 393 524 786 1572 2227 4454 6681 8908 13362 26724 3757463 7514926 11272389 15029852 22544778 45089556 63876871 127753742 191630613 255507484 383261226 492227653 766522452 984455306 1476682959 1968910612 2953365918 5906731836 8367870101 16735740202 25103610303 33471480404 50207220606 100414441212