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1023213100212 = 223228422586117
BaseRepresentation
bin11101110001111000100…
…00001101110010110100
310121211002110222002121100
432320330100031302310
5113231020023201322
62102020235450100
7133632113564022
oct16707420156264
93554073862540
101023213100212
11364a40135736
1214637bbb6930
137564754a9b4
1437749367712
151b93961bdac
hexee3c40dcb4

1023213100212 has 18 divisors (see below), whose sum is σ = 2586455336738. Its totient is φ = 341071033392.

The previous prime is 1023213100211. The next prime is 1023213100213. The reversal of 1023213100212 is 2120013123201.

1023213100212 is a `hidden beast` number, since 10 + 2 + 321 + 310 + 0 + 21 + 2 = 666.

1023213100212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1023213100211) and next prime (1023213100213).

It can be written as a sum of positive squares in only one way, i.e., 662247653796 + 360965446416 = 813786^2 + 600804^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023213100211) 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, 14211293023 + ... + 14211293094.

Almost surely, 21023213100212 is an apocalyptic number.

1023213100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023213100212 is an abundant number, since it is smaller than the sum of its proper divisors (1563242236526).

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

1023213100212 is a wasteful number, since it uses less digits than its factorization.

1023213100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28422586127 (or 28422586122 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1023213100212 its reverse (2120013123201), we get a palindrome (3143226223413).

The spelling of 1023213100212 in words is "one trillion, twenty-three billion, two hundred thirteen million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 28422586117 56845172234 85267758351 113690344468 170535516702 255803275053 341071033404 511606550106 1023213100212