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103203212 = 22731937107
BaseRepresentation
bin1100010011011…
…00000110001100
321012012021012012
412021230012030
5202410000322
614124000352
72362133000
oct611540614
9235167165
10103203212
115328a112
122a6900b8
13184c57b8
14d9c6700
1590d8ae2
hex626c18c

103203212 has 96 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 40388544.

The previous prime is 103203203. The next prime is 103203223. The reversal of 103203212 is 212302301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964463 + ... + 964569.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2103203212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103203212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

103203212 is an abundant number, since it is smaller than the sum of its proper divisors (126620788).

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

103203212 is a wasteful number, since it uses less digits than its factorization.

103203212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103203212 is about 10158.8981686008. The cubic root of 103203212 is about 469.0628860503.

Adding to 103203212 its reverse (212302301), we get a palindrome (315505513).

The spelling of 103203212 in words is "one hundred three million, two hundred three thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 37 38 49 74 76 98 107 133 148 196 214 259 266 343 428 518 532 686 703 749 931 1036 1372 1406 1498 1813 1862 2033 2812 2996 3626 3724 3959 4066 4921 5243 6517 7252 7918 8132 9842 10486 12691 13034 14231 15836 19684 20972 25382 26068 27713 28462 34447 36701 50764 55426 56924 68894 73402 75221 99617 110852 137788 146804 150442 193991 199234 241129 300884 387982 398468 482258 526547 697319 775964 964516 1053094 1357937 1394638 2106188 2715874 2789276 3685829 5431748 7371658 14743316 25800803 51601606 103203212