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100512412 = 227111321931
BaseRepresentation
bin1011111110110…
…11001010011100
321000010120002221
411333123022130
5201212344122
613550155124
72330225050
oct577331234
9230116087
10100512412
1151811510
12297b2aa4
1317a92b00
14d4c5c60
158c566c7
hex5fdb29c

100512412 has 72 divisors (see below), whose sum is σ = 237589632. Its totient is φ = 36129600.

The previous prime is 100512407. The next prime is 100512421. The reversal of 100512412 is 214215001.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 51087 + ... + 53017.

It is an arithmetic number, because the mean of its divisors is an integer number (3299856).

Almost surely, 2100512412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100512412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118794816).

100512412 is an abundant number, since it is smaller than the sum of its proper divisors (137077220).

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

100512412 is a wasteful number, since it uses less digits than its factorization.

100512412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 100512412 is about 10025.5878630632. The cubic root of 100512412 is about 464.9503350047.

Adding to 100512412 its reverse (214215001), we get a palindrome (314727413).

The spelling of 100512412 in words is "one hundred million, five hundred twelve thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 338 364 572 676 1001 1183 1859 1931 2002 2366 3718 3862 4004 4732 7436 7724 13013 13517 21241 25103 26026 27034 42482 50206 52052 54068 84964 100412 148687 175721 276133 297374 326339 351442 552266 594748 652678 702884 1104532 1305356 1932931 2284373 3589729 3865862 4568746 7179458 7731724 9137492 14358916 25128103 50256206 100512412