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3123010103213 = 7112132281124343
BaseRepresentation
bin101101011100100001111…
…010000110011110101101
3102001120000221110222021202
4231130201322012132231
5402131411041300323
610350405132535245
7441426046611440
oct55344172063655
912046027428252
103123010103213
11aa4508871a00
12425315921525
13198663528320
14ab223d15657
1556383ad6d28
hex2d721e867ad

3123010103213 has 48 divisors (see below), whose sum is σ = 4226784807168. Its totient is φ = 2245318099200.

The previous prime is 3123010103197. The next prime is 3123010103221.

3123010103213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3123010103213 - 24 = 3123010103197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123010109213) 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 47 ways as a sum of consecutive naturals, for example, 25053920 + ... + 25178262.

It is an arithmetic number, because the mean of its divisors is an integer number (88058016816).

Almost surely, 23123010103213 is an apocalyptic number.

It is an amenable number.

3123010103213 is a deficient number, since it is larger than the sum of its proper divisors (1103774703955).

3123010103213 is a wasteful number, since it uses less digits than its factorization.

3123010103213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126666 (or 126655 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 3123010 and 103213, that added together give a palindrome (3226223).

The spelling of 3123010103213 in words is "three trillion, one hundred twenty-three billion, ten million, one hundred three thousand, two hundred thirteen".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 2281 11011 15967 25091 29653 124343 175637 207571 276001 326183 870401 1367773 1616459 1932007 2283281 3588013 9574411 11315213 15045503 17781049 25116091 105318521 124467343 195591539 283626383 1369140773 1985384681 3119890213 3687142979 21839231491 25810000853 34318792343 40558572769 240231546401 283910009383 446144300459 3123010103213