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100344022324 = 227131276133541
BaseRepresentation
bin101110101110011111…
…0000100010100110100
3100121000010222111011021
41131130332010110310
53121001032203244
6114033012350524
710151422055020
oct1353476042464
9317003874137
10100344022324
1139612648177
1217545015444
139601b81b50
144bdca13380
152924542284
hex175cf84534

100344022324 has 96 divisors (see below), whose sum is σ = 218244325376. Its totient is φ = 39308613120.

The previous prime is 100344022321. The next prime is 100344022369. The reversal of 100344022324 is 423220443001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100344022321) 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 31 ways as a sum of consecutive naturals, for example, 28335994 + ... + 28339534.

Almost surely, 2100344022324 is an apocalyptic number.

100344022324 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 100344022324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109122162688).

100344022324 is an abundant number, since it is smaller than the sum of its proper divisors (117900303052).

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

100344022324 is a wasteful number, since it uses less digits than its factorization.

100344022324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 100344022324 its reverse (423220443001), we get a palindrome (523564465325).

The spelling of 100344022324 in words is "one hundred billion, three hundred forty-four million, twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 127 182 254 364 508 613 889 1226 1651 1778 2452 3302 3541 3556 4291 6604 7082 7969 8582 11557 14164 15938 17164 23114 24787 31876 46033 46228 49574 55783 77851 92066 99148 111566 155702 184132 223132 311404 322231 449707 544957 644462 899414 1012063 1089914 1288924 1798828 2024126 2170633 2179828 3147949 4048252 4341266 5846191 6295898 7084441 8682532 11692382 12591796 14168882 15194431 23384764 28218229 28337764 30388862 40923337 56436458 60777724 81846674 112872916 163693348 197527603 275670391 395055206 551340782 790110412 1102681564 1929692737 3583715083 3859385474 7167430166 7718770948 14334860332 25086005581 50172011162 100344022324