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1012312210200 = 2335221152315289
BaseRepresentation
bin11101011101100101000…
…00100111101100011000
310120202221210000111201020
432232302200213230120
5113041203411211300
62053014431522440
7133065016545414
oct16566240475430
93522853014636
101012312210200
11360356940725
12144239389420
13745cb014a15
1436dd36d5d44
151b4ec6088a0
hexebb2827b18

1012312210200 has 192 divisors, whose sum is σ = 3159276067200. Its totient is φ = 268139289600.

The previous prime is 1012312210141. The next prime is 1012312210201. The reversal of 1012312210200 is 20122132101.

1012312210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012312210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012312210201) 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, 66204156 + ... + 66219444.

It is an arithmetic number, because the mean of its divisors is an integer number (16454562850).

Almost surely, 21012312210200 is an apocalyptic number.

1012312210200 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 1012312210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579638033600).

1012312210200 is an abundant number, since it is smaller than the sum of its proper divisors (2146963857000).

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

1012312210200 is a wasteful number, since it uses less digits than its factorization.

1012312210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16042 (or 16033 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1012312210200 its reverse (20122132101), we get a palindrome (1032434342301).

The spelling of 1012312210200 in words is "one trillion, twelve billion, three hundred twelve million, two hundred ten thousand, two hundred".