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10213131003229 = 711245832631029
BaseRepresentation
bin1001010010011110111000…
…0010111010010101011101
31100011100212122211000102201
42110213232002322111131
52314312443014100404
633415503030051501
72102605623105460
oct224475602722535
940140778730381
1010213131003229
113288401217300
12118b458aa9b91
1359112ba2669b
1427446511b2d7
1512aa01094ca4
hex949ee0ba55d

10213131003229 has 24 divisors (see below), whose sum is σ = 12832522577280. Its totient is φ = 7956544395360.

The previous prime is 10213131003211. The next prime is 10213131003287. The reversal of 10213131003229 is 92230013131201.

It is not a de Polignac number, because 10213131003229 - 217 = 10213130872157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10213131003197 and 10213131003206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213131003529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2566287 + ... + 5197315.

It is an arithmetic number, because the mean of its divisors is an integer number (534688440720).

Almost surely, 210213131003229 is an apocalyptic number.

It is an amenable number.

10213131003229 is a deficient number, since it is larger than the sum of its proper divisors (2619391574051).

10213131003229 is a wasteful number, since it uses less digits than its factorization.

10213131003229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635641 (or 2635630 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 10213131003229 in words is "ten trillion, two hundred thirteen billion, one hundred thirty-one million, three thousand, two hundred twenty-nine".

Divisors: 1 7 11 77 121 847 4583 32081 50413 352891 554543 2631029 3881801 18417203 28941319 202589233 318354509 2228481563 12058005907 84406041349 132638064977 928466454839 1459018714747 10213131003229