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102012002092 = 2271113412712293
BaseRepresentation
bin101111100000001100…
…0111001111100101100
3100202022101120122020201
41133000120321330230
53132410033031332
6114510315123244
710240644465550
oct1370030717454
9322271518221
10102012002092
113a299130050
121792b743524
1398095c9a20
144d1a361860
1529c0bbd5e7
hex17c0639f2c

102012002092 has 192 divisors, whose sum is σ = 246552219648. Its totient is φ = 35645184000.

The previous prime is 102012002077. The next prime is 102012002101. The reversal of 102012002092 is 290200210201.

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 63 ways as a sum of consecutive naturals, for example, 44487298 + ... + 44489590.

It is an arithmetic number, because the mean of its divisors is an integer number (1284126144).

Almost surely, 2102012002092 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 102012002092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123276109824).

102012002092 is an abundant number, since it is smaller than the sum of its proper divisors (144540217556).

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

102012002092 is a wasteful number, since it uses less digits than its factorization.

102012002092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102012002092 its reverse (290200210201), we get a palindrome (392212212293).

It can be divided in two parts, 10 and 2012002092, that added together give a palindrome (2012002102).

The spelling of 102012002092 in words is "one hundred two billion, twelve million, two thousand, ninety-two".