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102271402144 = 25171983971229
BaseRepresentation
bin101111100111111011…
…0011100000010100000
3100202222110200112020001
41133033312130002200
53133422434332034
6114552143025344
710250244401122
oct1371766340240
9322873615201
10102271402144
113a4115a415a
12179a259b254
13984b280b92
144d429a7212
1529d885ca14
hex17cfd9c0a0

102271402144 has 192 divisors, whose sum is σ = 229643164800. Its totient is φ = 44544688128.

The previous prime is 102271402133. The next prime is 102271402157. The reversal of 102271402144 is 441204172201.

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 31 ways as a sum of consecutive naturals, for example, 83214522 + ... + 83215750.

It is an arithmetic number, because the mean of its divisors is an integer number (1196058150).

Almost surely, 2102271402144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102271402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114821582400).

102271402144 is an abundant number, since it is smaller than the sum of its proper divisors (127371762656).

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

102271402144 is a wasteful number, since it uses less digits than its factorization.

102271402144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

Adding to 102271402144 its reverse (441204172201), we get a palindrome (543475574345).

The spelling of 102271402144 in words is "one hundred two billion, two hundred seventy-one million, four hundred two thousand, one hundred forty-four".