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100226112 = 263774573
BaseRepresentation
bin1011111100101…
…01010001000000
320222121000101020
411332111101000
5201124213422
613540105440
72324623260
oct576252100
9228530336
10100226112
11516363a8
1229695280
13179c26bc
14d44d7a0
158beb95c
hex5f95440

100226112 has 56 divisors (see below), whose sum is σ = 303068736. Its totient is φ = 28635648.

The previous prime is 100226053. The next prime is 100226129. The reversal of 100226112 is 211622001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 100226091 and 100226100.

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, 35943 + ... + 38630.

Almost surely, 2100226112 is an apocalyptic number.

100226112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100226112 is an abundant number, since it is smaller than the sum of its proper divisors (202842624).

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

100226112 is an equidigital number, since it uses as much as digits as its factorization.

100226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74595 (or 74585 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100226112 is about 10011.2992163855. The cubic root of 100226112 is about 464.5084596603.

Adding to 100226112 its reverse (211622001), we get a palindrome (311848113).

The spelling of 100226112 in words is "one hundred million, two hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 74573 149146 223719 298292 447438 522011 596584 894876 1044022 1193168 1566033 1789752 2088044 2386336 3132066 3579504 4176088 4772672 6264132 7159008 8352176 12528264 14318016 16704352 25056528 33408704 50113056 100226112