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100440241332 = 22357283146117
BaseRepresentation
bin101110110001010110…
…1000111010010110100
3100121020212000220211020
41131202231013102310
53121200200210312
6114050330541140
710154000651634
oct1354255072264
9317225026736
10100440241332
1139661996a12
12175712977b0
139618aa0682
144c0b6dc6c4
15292cbeb78c
hex1762b474b4

100440241332 has 24 divisors (see below), whose sum is σ = 234366258336. Its totient is φ = 33479266848.

The previous prime is 100440241277. The next prime is 100440241337. The reversal of 100440241332 is 233142044001.

It is a super-2 number, since 2×1004402413322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100440241337) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 614338 + ... + 760454.

It is an arithmetic number, because the mean of its divisors is an integer number (9765260764).

Almost surely, 2100440241332 is an apocalyptic number.

100440241332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100440241332 is an abundant number, since it is smaller than the sum of its proper divisors (133926017004).

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

100440241332 is a wasteful number, since it uses less digits than its factorization.

100440241332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203407 (or 203405 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100440241332 its reverse (233142044001), we get a palindrome (333582285333).

The spelling of 100440241332 in words is "one hundred billion, four hundred forty million, two hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 57283 114566 146117 171849 229132 292234 343698 438351 584468 687396 876702 1753404 8370020111 16740040222 25110060333 33480080444 50220120666 100440241332