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130031120103213 = 37219293734303973
BaseRepresentation
bin11101100100001100111010…
…101110010011011100101101
3122001101212001022222022220010
4131210030322232103130231
5114020412213221300323
61140315245533443433
736250303242212400
oct3544147256233455
9561355038868803
10130031120103213
113848298543739a
1212700a9b040579
135772b60a19344
14241777b299d37
15100761b6c9c93
hex76433ab9372d

130031120103213 has 96 divisors (see below), whose sum is σ = 220205082556800. Its totient is φ = 67783220596224.

The previous prime is 130031120103211. The next prime is 130031120103281. The reversal of 130031120103213 is 312301021130031.

It is a happy number.

It is not a de Polignac number, because 130031120103213 - 21 = 130031120103211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 130031120103213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130031120103211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28059895 + ... + 32363867.

It is an arithmetic number, because the mean of its divisors is an integer number (2293802943300).

Almost surely, 2130031120103213 is an apocalyptic number.

It is an amenable number.

130031120103213 is a deficient number, since it is larger than the sum of its proper divisors (90173962453587).

130031120103213 is a wasteful number, since it uses less digits than its factorization.

130031120103213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304411 (or 4304404 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 130031120103213 its reverse (312301021130031), we get a palindrome (442332141233244).

The spelling of 130031120103213 in words is "one hundred thirty trillion, thirty-one billion, one hundred twenty million, one hundred three thousand, two hundred thirteen".

Divisors: 1 3 7 19 21 29 49 57 87 133 147 203 373 399 551 609 931 1119 1421 1653 2611 2793 3857 4263 7087 7833 10817 11571 18277 21261 26999 32451 49609 54831 75719 80997 148827 205523 227157 347263 530033 616569 1041789 1438661 1590099 4303973 4315983 10070627 12911919 30127811 30211881 81775487 90383433 124815217 210894677 245326461 374445651 572428409 632684031 873706519 1605381929 1717285227 2371489123 2621119557 4006998863 4816145787 6115945633 7114467369 11237673503 12020996589 16600423861 18347836899 30502256651 33713020509 46556075941 49801271583 78663714521 91506769953 116202967027 139668227823 213515796557 235991143563 325892531587 348608901081 640547389671 884565442879 977677594761 1494610575899 2281247721109 2653696328637 4483831727697 6191958100153 6843743163327 18575874300459 43343706701071 130031120103213