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1012312210212 = 223228119783617
BaseRepresentation
bin11101011101100101000…
…00100111101100100100
310120202221210000111201200
432232302200213230210
5113041203411211322
62053014431522500
7133065016545432
oct16566240475444
93522853014650
101012312210212
11360356940736
12144239389430
13745cb014a24
1436dd36d5d52
151b4ec6088ac
hexebb2827b24

1012312210212 has 18 divisors (see below), whose sum is σ = 2558900309238. Its totient is φ = 337437403392.

The previous prime is 1012312210201. The next prime is 1012312210219. The reversal of 1012312210212 is 2120122132101.

1012312210212 is a `hidden beast` number, since 1 + 0 + 1 + 231 + 221 + 0 + 212 = 666.

1012312210212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 915114171456 + 97198038756 = 956616^2 + 311766^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1012312210219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14059891773 + ... + 14059891844.

It is an arithmetic number, because the mean of its divisors is an integer number (142161128291).

Almost surely, 21012312210212 is an apocalyptic number.

1012312210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012312210212 is an abundant number, since it is smaller than the sum of its proper divisors (1546588099026).

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

1012312210212 is a wasteful number, since it uses less digits than its factorization.

1012312210212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28119783627 (or 28119783622 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1012312210212 its reverse (2120122132101), we get a palindrome (3132434342313).

The spelling of 1012312210212 in words is "one trillion, twelve billion, three hundred twelve million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 28119783617 56239567234 84359350851 112479134468 168718701702 253078052553 337437403404 506156105106 1012312210212