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103252212 = 223372109179
BaseRepresentation
bin1100010011110…
…00000011110100
321012021202102000
412021320003310
5202413032322
614125015300
72362425600
oct611700364
9235252360
10103252212
1153312a08
122a6b4530
1318511bab
14d9da500
1590e83ac
hex62780f4

103252212 has 144 divisors (see below), whose sum is σ = 316008000. Its totient is φ = 29066688.

The previous prime is 103252211. The next prime is 103252223. The reversal of 103252212 is 212252301.

It is a super-2 number, since 2×1032522122 = 21322038565785888, which contains 22 as substring.

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 (103252211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576739 + ... + 576917.

It is an arithmetic number, because the mean of its divisors is an integer number (2194500).

Almost surely, 2103252212 is an apocalyptic number.

103252212 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 103252212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158004000).

103252212 is an abundant number, since it is smaller than the sum of its proper divisors (212755788).

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

103252212 is a wasteful number, since it uses less digits than its factorization.

103252212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103252212 is about 10161.3095612721. The cubic root of 103252212 is about 469.1371099832.

The spelling of 103252212 in words is "one hundred three million, two hundred fifty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 109 126 147 179 189 196 218 252 294 327 358 378 436 441 537 588 654 716 756 763 882 981 1074 1253 1308 1323 1526 1611 1764 1962 2148 2289 2506 2646 2943 3052 3222 3759 3924 4578 4833 5012 5292 5341 5886 6444 6867 7518 8771 9156 9666 10682 11277 11772 13734 15036 16023 17542 19332 19511 20601 21364 22554 26313 27468 32046 33831 35084 39022 41202 45108 48069 52626 58533 64092 67662 78044 78939 82404 96138 105252 117066 135324 136577 144207 157878 175599 192276 234132 236817 273154 288414 315756 351198 409731 473634 526797 546308 576828 702396 819462 947268 956039 1053594 1229193 1638924 1912078 2107188 2458386 2868117 3687579 3824156 4916772 5736234 7375158 8604351 11472468 14750316 17208702 25813053 34417404 51626106 103252212