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3121130233120 = 255163279742787
BaseRepresentation
bin101101011010110001110…
…110111101110100100000
3102001101011221011200022111
4231122301312331310200
5402114033314424440
610345454420445104
7441331342151554
oct55326166756440
912041157150274
103121130233120
11aa3733715759
12424a90249794
13198423c22063
14ab0c63ab864
15562c3a534ea
hex2d6b1dbdd20

3121130233120 has 96 divisors (see below), whose sum is σ = 7421733321408. Its totient is φ = 1240320273408.

The previous prime is 3121130233097. The next prime is 3121130233147. The reversal of 3121130233120 is 213320311213.

It is a junction number, because it is equal to n+sod(n) for n = 3121130233091 and 3121130233100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72924367 + ... + 72967153.

It is an arithmetic number, because the mean of its divisors is an integer number (77309722098).

Almost surely, 23121130233120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121130233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710866660704).

3121130233120 is an abundant number, since it is smaller than the sum of its proper divisors (4300603088288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3121130233120 is a wasteful number, since it uses less digits than its factorization.

3121130233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45762 (or 45754 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 3121130233120 its reverse (213320311213), we get a palindrome (3334450544333).

The spelling of 3121130233120 in words is "three trillion, one hundred twenty-one billion, one hundred thirty million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 163 326 652 815 1304 1630 2608 2797 3260 5216 5594 6520 11188 13040 13985 22376 26080 27970 42787 44752 55940 85574 89504 111880 171148 213935 223760 342296 427870 447520 455911 684592 855740 911822 1369184 1711480 1823644 2279555 3422960 3647288 4559110 6845920 6974281 7294576 9118220 13948562 14589152 18236440 27897124 34871405 36472880 55794248 69742810 72945760 111588496 119675239 139485620 223176992 239350478 278971240 478700956 557942480 598376195 957401912 1115884960 1196752390 1914803824 2393504780 3829607648 4787009560 9574019120 19148038240 19507063957 39014127914 78028255828 97535319785 156056511656 195070639570 312113023312 390141279140 624226046624 780282558280 1560565116560 3121130233120