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2133130313312 = 251012773596637
BaseRepresentation
bin11111000010101000011…
…110010111111001100000
321112220222112000111011222
4133002220132113321200
5234422122330011222
64311540241354212
7310053646332215
oct37025036277140
97486875014158
102133130313312
117527234a6709
122a54b9038968
131261cbb186ab
147535b9a3b0c
153a74aa76542
hex1f0a8797e60

2133130313312 has 96 divisors (see below), whose sum is σ = 4268991263040. Its totient is φ = 1049103820800.

The previous prime is 2133130313263. The next prime is 2133130313341.

2133130313312 is nontrivially palindromic in base 10.

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, 321396458 + ... + 321403094.

It is an arithmetic number, because the mean of its divisors is an integer number (44468658990).

Almost surely, 22133130313312 is an apocalyptic number.

It is an amenable number.

2133130313312 is an abundant number, since it is smaller than the sum of its proper divisors (2135860949728).

2133130313312 is a wasteful number, since it uses less digits than its factorization.

2133130313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7376 counting only the distinct ones).

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

It can be divided in two parts, 2133130 and 313312, that added together give a palindrome (2446442).

The spelling of 2133130313312 in words is "two trillion, one hundred thirty-three billion, one hundred thirty million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 101 202 277 359 404 554 718 808 1108 1436 1616 2216 2872 3232 4432 5744 6637 8864 11488 13274 26548 27977 36259 53096 55954 72518 99443 106192 111908 145036 198886 212384 223816 290072 397772 447632 580144 670337 795544 895264 1160288 1340674 1591088 1838449 2382683 2681348 3182176 3676898 4765366 5362696 7353796 9530732 10043743 10725392 14707592 19061464 20087486 21450784 29415184 38122928 40174972 58830368 76245856 80349944 160699888 185683349 240650983 321399776 371366698 481301966 660003191 742733396 962603932 1320006382 1485466792 1925207864 2640012764 2970933584 3850415728 5280025528 5941867168 7700831456 10560051056 21120102112 66660322291 133320644582 266641289164 533282578328 1066565156656 2133130313312