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10231101213 = 3313713812153
BaseRepresentation
bin10011000011101001…
…00011011100011101
3222102000121210101120
421201310203130131
5131423130214323
64411120001153
7511351632264
oct114164433435
928360553346
1010231101213
11438020a853
121b964601b9
13c70843a58
146d0b1d5db
153ed30c5e3
hex261d2371d

10231101213 has 32 divisors (see below), whose sum is σ = 14479291392. Its totient is φ = 6414681600.

The previous prime is 10231101161. The next prime is 10231101217. The reversal of 10231101213 is 31210113201.

It is a happy number.

10231101213 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10231101213 - 213 = 10231093021 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10231101192 and 10231101201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231101217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4750945 + ... + 4753097.

It is an arithmetic number, because the mean of its divisors is an integer number (452477856).

Almost surely, 210231101213 is an apocalyptic number.

It is an amenable number.

10231101213 is a deficient number, since it is larger than the sum of its proper divisors (4248190179).

10231101213 is a wasteful number, since it uses less digits than its factorization.

10231101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10231101213 its reverse (31210113201), we get a palindrome (41441214414).

The spelling of 10231101213 in words is "ten billion, two hundred thirty-one million, one hundred one thousand, two hundred thirteen".

Divisors: 1 3 31 37 93 111 1147 1381 2153 3441 4143 6459 42811 51097 66743 79661 128433 153291 200229 238983 1584007 2469491 2973293 4752021 7408473 8919879 92172083 110011841 276516249 330035523 3410367071 10231101213