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103212132 = 22323271229
BaseRepresentation
bin1100010011011…
…10010001100100
321012012201102120
412021232101210
5202410242012
614124105540
72362201002
oct611562144
9235181376
10103212132
1153295891
122a6952b0
13184c988a
14d9c9a72
1590db58c
hex626e464

103212132 has 72 divisors (see below), whose sum is σ = 256415040. Its totient is φ = 32303040.

The previous prime is 103212103. The next prime is 103212163. The reversal of 103212132 is 231212301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450594 + ... + 450822.

It is an arithmetic number, because the mean of its divisors is an integer number (3561320).

Almost surely, 2103212132 is an apocalyptic number.

103212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128207520).

103212132 is an abundant number, since it is smaller than the sum of its proper divisors (153202908).

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

103212132 is a wasteful number, since it uses less digits than its factorization.

103212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 103212132 is about 10159.3371831040. The cubic root of 103212132 is about 469.0763995845.

Adding to 103212132 its reverse (231212301), we get a palindrome (334424433).

The spelling of 103212132 in words is "one hundred three million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 71 92 138 142 213 229 276 284 426 458 529 687 852 916 1058 1374 1587 1633 2116 2748 3174 3266 4899 5267 6348 6532 9798 10534 15801 16259 19596 21068 31602 32518 37559 48777 63204 65036 75118 97554 112677 121141 150236 195108 225354 242282 363423 373957 450708 484564 726846 747914 1121871 1453692 1495828 2243742 4487484 8601011 17202022 25803033 34404044 51606066 103212132