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3103210123013 = 721121324436991
BaseRepresentation
bin101101001010000101101…
…111001010111100000101
3101222122221001022202121202
4231022011233022330011
5401320333242414023
610333332310352245
7440125303553600
oct55120557127405
911878831282552
103103210123013
11a97078239800
1242150a95b685
13196829413a00
14aa2a6419337
1555ac56cb128
hex2d285bcaf05

3103210123013 has 108 divisors (see below), whose sum is σ = 4306872112704. Its totient is φ = 2226722097600.

The previous prime is 3103210122979. The next prime is 3103210123033.

3103210123013 is nontrivially palindromic in base 10.

3103210123013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-3103210123013 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3103210123033) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 443882948 + ... + 443889938.

It is an arithmetic number, because the mean of its divisors is an integer number (39878445488).

Almost surely, 23103210123013 is an apocalyptic number.

It is an amenable number.

3103210123013 is a deficient number, since it is larger than the sum of its proper divisors (1203661989691).

3103210123013 is a wasteful number, since it uses less digits than its factorization.

3103210123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 7465 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, 3103210 and 123013, that added together give a palindrome (3226223).

The spelling of 3103210123013 in words is "three trillion, one hundred three billion, two hundred ten million, one hundred twenty-three thousand, thirteen".

Divisors: 1 7 11 13 49 77 91 121 143 169 443 539 637 847 1001 1183 1573 1859 3101 4873 5759 5929 6991 7007 8281 11011 13013 20449 21707 34111 40313 48937 53603 63349 74867 76901 77077 90883 91091 143143 238777 282191 342559 375221 443443 524069 538307 636181 696839 823537 845911 999713 1002001 1181479 2626547 3097013 3104101 3668483 3768149 4453267 4877873 5764759 5921377 6997991 8270353 9058907 10996843 12996269 21679091 34067143 34145111 40261169 40353313 41449639 48985937 57892471 63412349 76977901 90973883 142958959 151753637 238470001 281828183 374738573 442872859 443886443 523395197 538845307 636817181 1000712713 1669290007 1972797281 2623170011 3100110013 3663766379 4871601449 5757347167 7004988991 18362190077 21700770091 25646364653 34101210143 40301430169 63330818837 238708471001 282110011183 443315731859 3103210123013