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1129422597660 = 223657107103423
BaseRepresentation
bin10000011011110110110…
…101010010111000011100
310222222020101212121000000
4100123312311102320130
5122001024141111120
62222503301534300
7144412100452440
oct20336665227034
93888211777000
101129422597660
113a5a92681105
12162a81414390
1382672657386
143c942d6c820
151e5a3a72990
hex106f6d52e1c

1129422597660 has 336 divisors, whose sum is σ = 4102083772416. Its totient is φ = 255738612096.

The previous prime is 1129422597637. The next prime is 1129422597671. The reversal of 1129422597660 is 667952249211.

It is a happy number.

1129422597660 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 42 + 2 + 597 + 6 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1129422597597 and 1129422597606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10868709 + ... + 10972131.

It is an arithmetic number, because the mean of its divisors is an integer number (12208582656).

Almost surely, 21129422597660 is an apocalyptic number.

1129422597660 is a gapful number since it is divisible by the number (10) 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 1129422597660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051041886208).

1129422597660 is an abundant number, since it is smaller than the sum of its proper divisors (2972661174756).

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

1129422597660 is a wasteful number, since it uses less digits than its factorization.

1129422597660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103564 (or 103547 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1129422597660 in words is "one trillion, one hundred twenty-nine billion, four hundred twenty-two million, five hundred ninety-seven thousand, six hundred sixty".