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100112355 = 355779149
BaseRepresentation
bin1011111011110…
…01011111100011
320222101020100000
411331321133203
5201112043410
613533431043
72323640520
oct575713743
9228336300
10100112355
1151568992
122963b483
13179829a5
14d420147
158bc7dc0
hex5f797e3

100112355 has 96 divisors (see below), whose sum is σ = 209664000. Its totient is φ = 44883072.

The previous prime is 100112333. The next prime is 100112357. The reversal of 100112355 is 553211001.

It is not a de Polignac number, because 100112355 - 27 = 100112227 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112357) 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 95 ways as a sum of consecutive naturals, for example, 671821 + ... + 671969.

It is an arithmetic number, because the mean of its divisors is an integer number (2184000).

Almost surely, 2100112355 is an apocalyptic number.

100112355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100112355 is an abundant number, since it is smaller than the sum of its proper divisors (109551645).

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

100112355 is an equidigital number, since it uses as much as digits as its factorization.

100112355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100112355 is about 10005.6161729301. The cubic root of 100112355 is about 464.3326535355.

Adding to 100112355 its reverse (553211001), we get a palindrome (653323356).

The spelling of 100112355 in words is "one hundred million, one hundred twelve thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 79 81 105 135 149 189 237 243 315 395 405 447 553 567 711 745 945 1043 1185 1215 1341 1659 1701 2133 2235 2765 2835 3129 3555 4023 4977 5215 6399 6705 8295 8505 9387 10665 11771 12069 14931 15645 19197 20115 24885 28161 31995 35313 36207 44793 46935 58855 60345 74655 82397 84483 95985 105939 134379 140805 176565 181035 223965 247191 253449 317817 411985 422415 529695 671895 741573 953451 1235955 1267245 1589085 2224719 2860353 3707865 4767255 6674157 11123595 14301765 20022471 33370785 100112355