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103110300313312 = 25172278191101939
BaseRepresentation
bin10111011100011100111100…
…110100101010011011100000
3111112002020201010002021112011
4113130130330310222123200
5102003324343340011222
61003144115032442304
730501321235452655
oct2734347464523340
9445066633067464
10103110300313312
112a9439184a0886
12b693572b49394
13456c34b450316
141b667cab43c2c
15bdc20767cc77
hex5dc73cd2a6e0

103110300313312 has 96 divisors (see below), whose sum is σ = 215914830888960. Its totient is φ = 48302367160320.

The previous prime is 103110300313289. The next prime is 103110300313331. The reversal of 103110300313312 is 213313003011301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1011439239 + ... + 1011541177.

It is an arithmetic number, because the mean of its divisors is an integer number (2249112821760).

Almost surely, 2103110300313312 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 103110300313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107957415444480).

103110300313312 is an abundant number, since it is smaller than the sum of its proper divisors (112804530575648).

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

103110300313312 is a wasteful number, since it uses less digits than its factorization.

103110300313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110384 (or 110376 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 103110300313312 its reverse (213313003011301), we get a palindrome (316423303324613).

The spelling of 103110300313312 in words is "one hundred three trillion, one hundred ten billion, three hundred million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 227 272 454 544 908 1816 3632 3859 7264 7718 8191 15436 16382 30872 32764 61744 65528 101939 123488 131056 139247 203878 262112 278494 407756 556988 815512 1113976 1631024 1732963 1859357 2227952 3262048 3465926 3718714 4455904 6931852 7437428 13863704 14874856 23140153 27727408 29749712 31609069 46280306 55454816 59499424 63218138 92560612 126436276 185121224 252872552 370242448 393382601 505745104 740484896 786765202 834982349 1011490208 1573530404 1669964698 3147060808 3339929396 6294121616 6679858792 12588243232 13359717584 14194699933 26719435168 28389399866 56778799732 113557599464 189540993223 227115198928 379081986446 454230397856 758163972892 1516327945784 3032655891568 3222196884791 6065311783136 6444393769582 12888787539164 25777575078328 51555150156656 103110300313312