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100342332244 = 227111720819209
BaseRepresentation
bin101110101110011011…
…1100111101101010100
3100121000000210121210201
41131130313213231110
53121000114112434
6114032512230244
710151401515460
oct1353467475524
9317000717721
10100342332244
11396116a3410
121754453b384
13960170c7bb
144bdc6d34a0
15292430b614
hex175cde7b54

100342332244 has 96 divisors (see below), whose sum is σ = 231943461120. Its totient is φ = 36773068800.

The previous prime is 100342332197. The next prime is 100342332253. The reversal of 100342332244 is 442233243001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10891512 + ... + 10900720.

It is an arithmetic number, because the mean of its divisors is an integer number (2416077720).

Almost surely, 2100342332244 is an apocalyptic number.

100342332244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100342332244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115971730560).

100342332244 is an abundant number, since it is smaller than the sum of its proper divisors (131601128876).

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

100342332244 is a wasteful number, since it uses less digits than its factorization.

100342332244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11329 (or 11327 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 100342332244 its reverse (442233243001), we get a palindrome (542575575245).

The spelling of 100342332244 in words is "one hundred billion, three hundred forty-two million, three hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2081 2618 4162 5236 8324 9209 14567 18418 22891 29134 35377 36836 45782 58268 64463 70754 91564 101299 128926 141508 156553 160237 202598 247639 257852 313106 320474 389147 405196 495278 626212 640948 709093 778294 990556 1095871 1418186 1556588 1722083 2191742 2724029 2836372 3444166 4383484 5448058 6888332 10896116 12054581 19163929 24109162 38327858 48218324 76655716 134147503 210803219 268295006 325786793 421606438 536590012 651573586 843212876 1303147172 1475622533 2280507551 2951245066 3583654723 4561015102 5902490132 7167309446 9122030204 14334618892 25085583061 50171166122 100342332244