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100002912 = 2536117077
BaseRepresentation
bin1011111010111…
…10110001100000
320222011200012120
411331132301200
5201100043122
613531224240
72323003452
oct575366140
9228150176
10100002912
11514a3739
12295a8080
1317944c29
14d3d22d2
158ba575c
hex5f5ec60

100002912 has 48 divisors (see below), whose sum is σ = 266826672. Its totient is φ = 32785920.

The previous prime is 100002899. The next prime is 100002937. The reversal of 100002912 is 219200001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 100002891 and 100002900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2683 + ... + 14394.

It is an arithmetic number, because the mean of its divisors is an integer number (5558889).

Almost surely, 2100002912 is an apocalyptic number.

100002912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100002912 is an abundant number, since it is smaller than the sum of its proper divisors (166823760).

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

100002912 is a wasteful number, since it uses less digits than its factorization.

100002912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17151 (or 17143 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 100002912 is about 10000.1455989400. The cubic root of 100002912 is about 464.1633887531.

Adding to 100002912 its reverse (219200001), we get a palindrome (319202913).

The spelling of 100002912 in words is "one hundred million, two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 17077 34154 51231 68308 102462 136616 204924 273232 409848 546464 819696 1041697 1639392 2083394 3125091 4166788 6250182 8333576 12500364 16667152 25000728 33334304 50001456 100002912