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1022325260112 = 24321313733112043
BaseRepresentation
bin11101110000001110101…
…01010111111101010000
310121201210121100010221200
432320013111113331100
5113222210231310422
62101352202151200
7133601113221642
oct16700725277520
93551717303850
101022325260112
11364624a59292
121461727b2500
1375535621020
14376a3494892
151b8d66e32ac
hexee07557f50

1022325260112 has 240 divisors, whose sum is σ = 3113300194368. Its totient is φ = 311296296960.

The previous prime is 1022325260101. The next prime is 1022325260123. The reversal of 1022325260112 is 2110625232201.

1022325260112 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 2 + 52 + 601 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1022325260101) and next prime (1022325260123).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84883563 + ... + 84895605.

Almost surely, 21022325260112 is an apocalyptic number.

1022325260112 is a gapful number since it is divisible by the number (12) 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 1022325260112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556650097184).

1022325260112 is an abundant number, since it is smaller than the sum of its proper divisors (2090974934256).

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

1022325260112 is a wasteful number, since it uses less digits than its factorization.

1022325260112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12538 (or 12529 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1022325260112 in words is "one trillion, twenty-two billion, three hundred twenty-five million, two hundred sixty thousand, one hundred twelve".