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1027170201096 = 23321323153191269
BaseRepresentation
bin11101111001010000001…
…11010110111000001000
310122012022020221122112100
432330220013112320020
5113312121032413341
62103513034113400
7134132143436214
oct16745007267010
93565266848470
101027170201096
11366690889146
121470a527b860
1375b282cc100
1437a02b11944
151babbc1b3b6
hexef281d6e08

1027170201096 has 576 divisors, whose sum is σ = 3196645171200. Its totient is φ = 297405388800.

The previous prime is 1027170201077. The next prime is 1027170201107. The reversal of 1027170201096 is 6901020717201.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1027170201096.

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 143 ways as a sum of consecutive naturals, for example, 3818476450 + ... + 3818476718.

It is an arithmetic number, because the mean of its divisors is an integer number (5549731200).

Almost surely, 21027170201096 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 1027170201096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598322585600).

1027170201096 is an abundant number, since it is smaller than the sum of its proper divisors (2169474970104).

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

1027170201096 is a wasteful number, since it uses less digits than its factorization.

1027170201096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

Adding to 1027170201096 its reverse (6901020717201), we get a palindrome (7928190918297).

The spelling of 1027170201096 in words is "one trillion, twenty-seven billion, one hundred seventy million, two hundred one thousand, ninety-six".