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1012422997600 = 255272317943913
BaseRepresentation
bin11101011101110010001…
…11001111011001100000
310120210020111111002110021
432232321013033121200
5113041420241410400
62053033430243224
7133100533326640
oct16567107173140
93523214432407
101012422997600
1136040342a963
1214426a4b6514
1374617c645b1
14370042d4520
151b5071de71a
hexebb91cf660

1012422997600 has 288 divisors, whose sum is σ = 2964005291520. Its totient is φ = 330162032640.

The previous prime is 1012422997567. The next prime is 1012422997601. The reversal of 1012422997600 is 67992242101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012422997601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23033244 + ... + 23077156.

It is an arithmetic number, because the mean of its divisors is an integer number (10291685040).

Almost surely, 21012422997600 is an apocalyptic number.

1012422997600 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 1012422997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482002645760).

1012422997600 is an abundant number, since it is smaller than the sum of its proper divisors (1951582293920).

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

1012422997600 is a wasteful number, since it uses less digits than its factorization.

1012422997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44142 (or 44129 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 1012422997600 in words is "one trillion, twelve billion, four hundred twenty-two million, nine hundred ninety-seven thousand, six hundred".