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3313012313312 = 2513431011833749
BaseRepresentation
bin110000001101011110111…
…011000000110011100000
3102201201110112011022100022
4300031132323000303200
5413240022123011222
611013550555413012
7461233351010102
oct60153673006340
912651415138308
103313012313312
11106804a098619
12456101154168
131b0553451c90
14b64ca28b572
155b2a4488042
hex3035eec0ce0

3313012313312 has 96 divisors (see below), whose sum is σ = 7258745340000. Its totient is φ = 1478734387200.

The previous prime is 3313012313243. The next prime is 3313012313323. The reversal of 3313012313312 is 2133132103133.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 889814 + ... + 2723562.

It is an arithmetic number, because the mean of its divisors is an integer number (75611930625).

Almost surely, 23313012313312 is an apocalyptic number.

3313012313312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313012313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629372670000).

3313012313312 is an abundant number, since it is smaller than the sum of its proper divisors (3945733026688).

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

3313012313312 is a wasteful number, since it uses less digits than its factorization.

3313012313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833916 (or 1833908 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 3313012313312 its reverse (2133132103133), we get a palindrome (5446144416445).

The spelling of 3313012313312 in words is "three trillion, three hundred thirteen billion, twelve million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 101 104 172 202 208 344 404 416 559 688 808 1118 1313 1376 1616 2236 2626 3232 4343 4472 5252 8686 8944 10504 17372 17888 21008 34744 42016 56459 69488 112918 138976 225836 451672 903344 1806688 1833749 3667498 7334996 14669992 23838737 29339984 47677474 58679968 78851207 95354948 157702414 185208649 190709896 315404828 370417298 381419792 630809656 740834596 762839584 1025065691 1261619312 1481669192 2050131382 2407712437 2523238624 2963338384 4100262764 4815424874 5926676768 7963971907 8200525528 9630849748 15927943814 16401051056 19261699496 31855887628 32802102112 38523398992 63711775256 77046797984 103531634791 127423550512 207063269582 254847101024 414126539164 828253078328 1656506156656 3313012313312