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100085244 = 22372170213
BaseRepresentation
bin1011111011100…
…10110111111100
320222022212010220
411331302313330
5201110211434
613533101340
72323465500
oct575626774
9228285126
10100085244
115154a586
1229627850
131797354c
14d414300
158bbed49
hex5f72dfc

100085244 has 36 divisors (see below), whose sum is σ = 271661544. Its totient is φ = 28595616.

The previous prime is 100085233. The next prime is 100085257. The reversal of 100085244 is 442580001.

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 11 ways as a sum of consecutive naturals, for example, 84519 + ... + 85694.

It is an arithmetic number, because the mean of its divisors is an integer number (7546154).

Almost surely, 2100085244 is an apocalyptic number.

100085244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100085244 is an abundant number, since it is smaller than the sum of its proper divisors (171576300).

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

100085244 is a wasteful number, since it uses less digits than its factorization.

100085244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170234 (or 170225 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 100085244 is about 10004.2612920695. The cubic root of 100085244 is about 464.2907351026.

The spelling of 100085244 in words is "one hundred million, eighty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 170213 340426 510639 680852 1021278 1191491 2042556 2382982 3574473 4765964 7148946 8340437 14297892 16680874 25021311 33361748 50042622 100085244