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1023011212213 = 29233187380833
BaseRepresentation
bin11101110001100000011…
…10000100101110110101
310121210120102002010100001
432320300032010232311
5113230111332242323
62101544224351301
7133624112554204
oct16706016045665
93553512063301
101023011212213
11364947183251
12146324475531
1375614782243
143772a61323b
151b926a3d3ad
hexee30384bb5

1023011212213 has 16 divisors (see below), whose sum is σ = 1063410070320. Its totient is φ = 982958505984.

The previous prime is 1023011212207. The next prime is 1023011212243. The reversal of 1023011212213 is 3122121103201.

1023011212213 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 8 ways, for example, as 197271887409 + 825739324804 = 444153^2 + 908702^2 .

It is a de Polignac number, because none of the positive numbers 2k-1023011212213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023011212243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12615445 + ... + 12696277.

It is an arithmetic number, because the mean of its divisors is an integer number (66463129395).

Almost surely, 21023011212213 is an apocalyptic number.

It is an amenable number.

1023011212213 is a deficient number, since it is larger than the sum of its proper divisors (40398858107).

1023011212213 is a wasteful number, since it uses less digits than its factorization.

1023011212213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82968.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1023011212213 its reverse (3122121103201), we get a palindrome (4145132315414).

The spelling of 1023011212213 in words is "one trillion, twenty-three billion, eleven million, two hundred twelve thousand, two hundred thirteen".

Divisors: 1 29 233 1873 6757 54317 80833 436409 2344157 12655861 18834089 151400209 546188581 4390606061 35276248697 1023011212213