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100444212 = 22341128183
BaseRepresentation
bin1011111110010…
…10100000110100
321000000002120000
411333022200310
5201203203322
613544511300
72326522161
oct577124064
9230002500
10100444212
1151775250
122977b530
1317a6aa5b
14d4a9068
158c413ac
hex5fca834

100444212 has 60 divisors (see below), whose sum is σ = 286462176. Its totient is φ = 30436560.

The previous prime is 100444207. The next prime is 100444213. The reversal of 100444212 is 212444001.

100444212 is a `hidden beast` number, since 10 + 0 + 444 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100444213) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10528 + ... + 17655.

Almost surely, 2100444212 is an apocalyptic number.

100444212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100444212 is an abundant number, since it is smaller than the sum of its proper divisors (186017964).

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

100444212 is a wasteful number, since it uses less digits than its factorization.

100444212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28210 (or 28199 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100444212 is about 10022.1859890944. The cubic root of 100444212 is about 464.8451513535.

Adding to 100444212 its reverse (212444001), we get a palindrome (312888213).

The spelling of 100444212 in words is "one hundred million, four hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 28183 56366 84549 112732 169098 253647 310013 338196 507294 620026 760941 930039 1014588 1240052 1521882 1860078 2282823 2790117 3043764 3720156 4565646 5580234 8370351 9131292 11160468 16740702 25111053 33481404 50222106 100444212