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103032200232 = 2336131358977
BaseRepresentation
bin101111111110100110…
…0101001110000101000
3100211221111021002000000
41133331030221300220
53142002220401412
6115155441343000
710305143152263
oct1377514516050
9324844232000
10103032200232
113a771a9a005
1217b75337a60
13993ca89570
144db5a49cda
152a3053e4dc
hex17fd329c28

103032200232 has 112 divisors (see below), whose sum is σ = 311926220340. Its totient is φ = 31702192128.

The previous prime is 103032200177. The next prime is 103032200251. The reversal of 103032200232 is 232002230301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100168452036 + 2863748196 = 316494^2 + 53514^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 603673 + ... + 755304.

Almost surely, 2103032200232 is an apocalyptic number.

103032200232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103032200232 is an abundant number, since it is smaller than the sum of its proper divisors (208894020108).

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

103032200232 is a wasteful number, since it uses less digits than its factorization.

103032200232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359014 (or 1358995 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 103032200232 its reverse (232002230301), we get a palindrome (335034430533).

The spelling of 103032200232 in words is "one hundred three billion, thirty-two million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2808 2916 3159 4212 5832 6318 8424 9477 12636 18954 25272 37908 75816 1358977 2717954 4076931 5435908 8153862 10871816 12230793 16307724 17666701 24461586 32615448 35333402 36692379 48923172 53000103 70666804 73384758 97846344 106000206 110077137 141333608 146769516 159000309 212000412 220154274 293539032 318000618 330231411 424000824 440308548 477000927 636001236 660462822 880617096 954001854 990694233 1272002472 1320925644 1431002781 1908003708 1981388466 2641851288 2862005562 3816007416 3962776932 4293008343 5724011124 7925553864 8586016686 11448022248 12879025029 17172033372 25758050058 34344066744 51516100116 103032200232