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100112463 = 331119113157
BaseRepresentation
bin1011111011110…
…01100001001111
320222101020111000
411331321201033
5201112044323
613533431343
72323641033
oct575714117
9228336430
10100112463
1151568a80
122963b553
1317982a59
14d4201c3
158bc7e43
hex5f7984f

100112463 has 64 divisors (see below), whose sum is σ = 172915200. Its totient is φ = 56609280.

The previous prime is 100112443. The next prime is 100112477. The reversal of 100112463 is 364211001.

It is a happy number.

It is not a de Polignac number, because 100112463 - 25 = 100112431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 637581 + ... + 637737.

It is an arithmetic number, because the mean of its divisors is an integer number (2701800).

Almost surely, 2100112463 is an apocalyptic number.

100112463 is a deficient number, since it is larger than the sum of its proper divisors (72802737).

100112463 is a wasteful number, since it uses less digits than its factorization.

100112463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100112463 is about 10005.6215698976. The cubic root of 100112463 is about 464.3328205076.

Adding to 100112463 its reverse (364211001), we get a palindrome (464323464).

The spelling of 100112463 in words is "one hundred million, one hundred twelve thousand, four hundred sixty-three".

Divisors: 1 3 9 11 19 27 33 57 99 113 157 171 209 297 339 471 513 627 1017 1243 1413 1727 1881 2147 2983 3051 3729 4239 5181 5643 6441 8949 11187 15543 17741 19323 23617 26847 32813 33561 46629 53223 57969 70851 80541 98439 159669 195151 212553 295317 337079 479007 585453 637659 885951 1011237 1756359 3033711 3707869 5269077 9101133 11123607 33370821 100112463