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100212132 = 22337792857
BaseRepresentation
bin1011111100100…
…01110110100100
320222120022012110
411332101312210
5201123242012
613535521020
72324534436
oct576216644
9228508173
10100212132
1151626949
1229689170
13179b9227
14d448656
158be773c
hex5f91da4

100212132 has 48 divisors (see below), whose sum is σ = 243272960. Its totient is φ = 32078592.

The previous prime is 100212121. The next prime is 100212143. The reversal of 100212132 is 231212001.

It is an interprime number because it is at equal distance from previous prime (100212121) and next prime (100212143).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33648 + ... + 36504.

Almost surely, 2100212132 is an apocalyptic number.

100212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100212132 is an abundant number, since it is smaller than the sum of its proper divisors (143060828).

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

100212132 is a wasteful number, since it uses less digits than its factorization.

100212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2980 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100212132 is about 10010.6009809601. The cubic root of 100212132 is about 464.4868613959.

Adding to 100212132 its reverse (231212001), we get a palindrome (331424133).

The spelling of 100212132 in words is "one hundred million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 79 111 148 158 222 237 316 444 474 948 2857 2923 5714 5846 8571 8769 11428 11692 17142 17538 34284 35076 105709 211418 225703 317127 422836 451406 634254 677109 902812 1268508 1354218 2708436 8351011 16702022 25053033 33404044 50106066 100212132