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10012013102223 = 32111312767279001
BaseRepresentation
bin1001000110110001101001…
…1111000000010010001111
31022110010202102000002001100
42101230122133000102033
52303014100323232343
633143242203314143
72052226006131036
oct221543237002217
938403672002040
1010012013102223
113210086424580
12115848ab1b953
13578189c29932
1426882679b71d
1512567e9009d3
hex91b1a7c048f

10012013102223 has 48 divisors (see below), whose sum is σ = 15902739021312. Its totient is φ = 6019369200000.

The previous prime is 10012013102207. The next prime is 10012013102237. The reversal of 10012013102223 is 32220131021001.

10012013102223 is a `hidden beast` number, since 10 + 0 + 120 + 1 + 310 + 2 + 223 = 666.

It is not a de Polignac number, because 10012013102223 - 24 = 10012013102207 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012013102196 and 10012013102205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012013106223) 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, 35745723 + ... + 36024723.

It is an arithmetic number, because the mean of its divisors is an integer number (331307062944).

Almost surely, 210012013102223 is an apocalyptic number.

10012013102223 is a deficient number, since it is larger than the sum of its proper divisors (5890725919089).

10012013102223 is a wasteful number, since it uses less digits than its factorization.

10012013102223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281916 (or 281913 counting only the distinct ones).

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

Adding to 10012013102223 its reverse (32220131021001), we get a palindrome (42232144123224).

The spelling of 10012013102223 in words is "ten trillion, twelve billion, thirteen million, one hundred two thousand, two hundred twenty-three".

Divisors: 1 3 9 11 33 99 131 393 1179 1441 2767 4323 8301 12969 24903 30437 91311 273933 279001 362477 837003 1087431 2511009 3069011 3262293 3987247 9207033 11961741 27621099 35885223 36549131 109647393 328942179 402040441 771995767 1206121323 2315987301 3618363969 6947961903 8491953437 25475860311 76427580933 101131445477 303394336431 910183009293 1112445900247 3337337700741 10012013102223