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313103133030 = 2354326784247
BaseRepresentation
bin1001000111001100110…
…01101010100101100110
31002221011200210011010110
410203212121222211212
520112213400224110
6355500530433450
731422662501352
oct4434631524546
91087150704113
10313103133030
11110871613066
1250821732886
13236aa6a016c
1411223476462
158227bd3a20
hex48e666a966

313103133030 has 96 divisors (see below), whose sum is σ = 780821247744. Its totient is φ = 80334289728.

The previous prime is 313103132929. The next prime is 313103133053. The reversal of 313103133030 is 30331301313.

It is a junction number, because it is equal to n+sod(n) for n = 313103132988 and 313103133006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3674367 + ... + 3758613.

It is an arithmetic number, because the mean of its divisors is an integer number (8133554664).

Almost surely, 2313103133030 is an apocalyptic number.

313103133030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313103133030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390410623872).

313103133030 is an abundant number, since it is smaller than the sum of its proper divisors (467718114714).

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

313103133030 is a wasteful number, since it uses less digits than its factorization.

313103133030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84410 (or 84367 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 313103133030 its reverse (30331301313), we get a palindrome (343434434343).

The spelling of 313103133030 in words is "three hundred thirteen billion, one hundred three million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 67 86 129 134 201 215 258 335 402 430 645 670 1005 1290 1849 2010 2881 3698 5547 5762 8643 9245 11094 14405 17286 18490 27735 28810 43215 55470 84247 86430 123883 168494 247766 252741 371649 421235 505482 619415 743298 842470 1238830 1263705 1858245 2527410 3622621 3716490 5644549 7245242 10867863 11289098 16933647 18113105 21735726 28222745 33867294 36226210 54339315 56445490 84668235 108678630 155772703 169336470 242715607 311545406 467318109 485431214 728146821 778863515 934636218 1213578035 1456293642 1557727030 2336590545 2427156070 3640734105 4673181090 7281468210 10436771101 20873542202 31310313303 52183855505 62620626606 104367711010 156551566515 313103133030