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102903012 = 2232192331211
BaseRepresentation
bin1100010001000…
…10110011100100
321011122000101200
412020202303210
5202320344022
614113322500
72356442532
oct610426344
9234560350
10102903012
11530a4613
122a566430
131841bc74
14d949152
159079bac
hex6222ce4

102903012 has 144 divisors (see below), whose sum is σ = 296325120. Its totient is φ = 29937600.

The previous prime is 102902977. The next prime is 102903013. The reversal of 102903012 is 210309201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (102903013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 487587 + ... + 487797.

Almost surely, 2102903012 is an apocalyptic number.

102903012 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 102903012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148162560).

102903012 is an abundant number, since it is smaller than the sum of its proper divisors (193422108).

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

102903012 is a wasteful number, since it uses less digits than its factorization.

102903012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 102903012 is about 10144.1121839223. The cubic root of 102903012 is about 468.6076371944.

The spelling of 102903012 in words is "one hundred two million, nine hundred three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 23 31 36 38 46 57 62 69 76 92 93 114 124 138 171 186 207 211 228 276 279 342 372 414 422 437 558 589 633 684 713 828 844 874 1116 1178 1266 1311 1426 1748 1767 1899 2139 2356 2532 2622 2852 3534 3798 3933 4009 4278 4853 5244 5301 6417 6541 7068 7596 7866 8018 8556 9706 10602 12027 12834 13082 13547 14559 15732 16036 19412 19623 21204 24054 25668 26164 27094 29118 36081 39246 40641 43677 48108 54188 58236 58869 72162 78492 81282 87354 92207 117738 121923 124279 144324 150443 162564 174708 184414 235476 243846 248558 276621 300886 368828 372837 451329 487692 497116 553242 601772 745674 829863 902658 1106484 1118511 1353987 1491348 1659726 1805316 2237022 2707974 2858417 3319452 4474044 5415948 5716834 8575251 11433668 17150502 25725753 34301004 51451506 102903012