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102203112 = 233111013833
BaseRepresentation
bin1100001011101…
…11111011101000
321010022110022110
412011313323220
5202130444422
614050322320
72350466154
oct605677350
9233273273
10102203112
1152766790
122a2893a0
131823551b
14d806064
158e8c60c
hex6177ee8

102203112 has 64 divisors (see below), whose sum is σ = 281568960. Its totient is φ = 30656000.

The previous prime is 102203111. The next prime is 102203149. The reversal of 102203112 is 211302201.

It is a super-2 number, since 2×1022031122 = 20890952204969088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102203111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24748 + ... + 28580.

It is an arithmetic number, because the mean of its divisors is an integer number (4399515).

Almost surely, 2102203112 is an apocalyptic number.

102203112 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 102203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140784480).

102203112 is an abundant number, since it is smaller than the sum of its proper divisors (179365848).

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

102203112 is a wasteful number, since it uses less digits than its factorization.

102203112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102203112 is about 10109.5554798418. Note that the first 3 decimals coincide. The cubic root of 102203112 is about 467.5427998982.

Adding to 102203112 its reverse (211302201), we get a palindrome (313505313).

The spelling of 102203112 in words is "one hundred two million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 3833 4444 6666 7666 8888 11499 13332 15332 22998 26664 30664 42163 45996 84326 91992 126489 168652 252978 337304 387133 505956 774266 1011912 1161399 1548532 2322798 3097064 4258463 4645596 8516926 9291192 12775389 17033852 25550778 34067704 51101556 102203112