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102298102704 = 243271573731733
BaseRepresentation
bin101111101000101110…
…0010010101110110000
3100210001022221001111200
41133101130102232300
53134001303241304
6114554535211200
710251020345250
oct1372134225660
9323038831450
10102298102704
113a425680736
12179ab516b00
13985396c125
144d46357960
1529dad83e39
hex17d1712bb0

102298102704 has 240 divisors, whose sum is σ = 330348862272. Its totient is φ = 28947290112.

The previous prime is 102298102679. The next prime is 102298102721. The reversal of 102298102704 is 407201892201.

It is a super-2 number, since 2×1022981027042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 59028622 + ... + 59030354.

Almost surely, 2102298102704 is an apocalyptic number.

102298102704 is a gapful number since it is divisible by the number (14) 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 102298102704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165174431136).

102298102704 is an abundant number, since it is smaller than the sum of its proper divisors (228050759568).

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

102298102704 is a wasteful number, since it uses less digits than its factorization.

102298102704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2275 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 102298102704 its reverse (407201892201), we get a palindrome (509499994905).

The spelling of 102298102704 in words is "one hundred two billion, two hundred ninety-eight million, one hundred two thousand, seven hundred four".