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102148302888 = 2332291031972411
BaseRepresentation
bin101111100100010000…
…0110110100000101000
3100202122220001102210100
41133020200312200220
53133144431143023
6114532024345400
710244221151142
oct1371040664050
9322586042710
10102148302888
113a359065935
1217969315260
13982b910398
144d304c1c92
1529ccb43c43
hex17c8836828

102148302888 has 192 divisors, whose sum is σ = 290557238400. Its totient is φ = 32377443840.

The previous prime is 102148302887. The next prime is 102148302899. The reversal of 102148302888 is 888203841201.

It is a happy number.

It is a super-4 number, since 4×1021483028884 (a number of 45 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102148302887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42366403 + ... + 42368813.

It is an arithmetic number, because the mean of its divisors is an integer number (1513318950).

Almost surely, 2102148302888 is an apocalyptic number.

102148302888 is a gapful number since it is divisible by the number (18) 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 102148302888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145278619200).

102148302888 is an abundant number, since it is smaller than the sum of its proper divisors (188408935512).

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

102148302888 is a wasteful number, since it uses less digits than its factorization.

102148302888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 102148302888 in words is "one hundred two billion, one hundred forty-eight million, three hundred two thousand, eight hundred eighty-eight".