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1012099973400 = 233452178734961
BaseRepresentation
bin11101011101001011101…
…11000000000100011000
310120202101222122202120000
432232211313000010120
5113040240043122100
62052541410533000
7133056531554265
oct16564567000430
93522358582500
101012099973400
1136025806000a
1214419a297160
1374596064a09
1436db344a26c
151b4d8b83900
hexeba5dc0118

1012099973400 has 240 divisors, whose sum is σ = 3517240830840. Its totient is φ = 269734579200.

The previous prime is 1012099973393. The next prime is 1012099973419. The reversal of 1012099973400 is 43799902101.

1012099973400 is a `hidden beast` number, since 10 + 1 + 209 + 9 + 97 + 340 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28931920 + ... + 28966880.

Almost surely, 21012099973400 is an apocalyptic number.

1012099973400 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 1012099973400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758620415420).

1012099973400 is an abundant number, since it is smaller than the sum of its proper divisors (2505140857440).

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

1012099973400 is a wasteful number, since it uses less digits than its factorization.

1012099973400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36776 (or 36758 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1012099973400 in words is "one trillion, twelve billion, ninety-nine million, nine hundred seventy-three thousand, four hundred".