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1012002202200 = 23352111923831109
BaseRepresentation
bin11101011101000000000…
…10000010001001011000
310120202011011200110200110
432232200002002021120
5113040040030432300
62052523555204320
7133054233534123
oct16564002021130
93522134613613
101012002202200
11360207951070
121441715a66a0
137457ba21832
1436da44793ba
151b4d02be550
hexeba0082258

1012002202200 has 576 divisors, whose sum is σ = 3624710860800. Its totient is φ = 231605683200.

The previous prime is 1012002202193. The next prime is 1012002202207. The reversal of 1012002202200 is 22022002101.

It is an interprime number because it is at equal distance from previous prime (1012002202193) and next prime (1012002202207).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012002202207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 912535246 + ... + 912536354.

It is an arithmetic number, because the mean of its divisors is an integer number (6292900800).

Almost surely, 21012002202200 is an apocalyptic number.

1012002202200 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 1012002202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812355430400).

1012002202200 is an abundant number, since it is smaller than the sum of its proper divisors (2612708658600).

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

1012002202200 is a wasteful number, since it uses less digits than its factorization.

1012002202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1012002202200 its reverse (22022002101), we get a palindrome (1034024204301).

The spelling of 1012002202200 in words is "one trillion, twelve billion, two million, two hundred two thousand, two hundred".