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102232303002 = 23283659103837
BaseRepresentation
bin101111100110110000…
…1010010010110011010
3100202212202010002021200
41133031201102112122
53133332432144002
6114544225015030
710246261144344
oct1371541222632
9322782102250
10102232303002
113a3a1519415
1217991484476
1398431413ab
144d3b70a294
1529d51d7b1c
hex17cd85259a

102232303002 has 48 divisors (see below), whose sum is σ = 224514370080. Its totient is φ = 33615451296.

The previous prime is 102232302989. The next prime is 102232303007. The reversal of 102232303002 is 200303232201.

It is a happy number.

102232303002 is a `hidden beast` number, since 102 + 232 + 30 + 300 + 2 = 666.

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 (102232303007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 932628 + ... + 1036464.

It is an arithmetic number, because the mean of its divisors is an integer number (4677382710).

Almost surely, 2102232303002 is an apocalyptic number.

102232303002 is an abundant number, since it is smaller than the sum of its proper divisors (122282067078).

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

102232303002 is a wasteful number, since it uses less digits than its factorization.

102232303002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104587 (or 104584 counting only the distinct ones).

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

Adding to 102232303002 its reverse (200303232201), we get a palindrome (302535535203).

The spelling of 102232303002 in words is "one hundred two billion, two hundred thirty-two million, three hundred three thousand, two".

Divisors: 1 2 3 6 9 18 83 166 249 498 659 747 1318 1494 1977 3954 5931 11862 54697 103837 109394 164091 207674 311511 328182 492273 623022 934533 984546 1869066 8618471 17236942 25855413 51710826 68428583 77566239 136857166 155132478 205285749 410571498 615857247 1231714494 5679572389 11359144778 17038717167 34077434334 51116151501 102232303002