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21343122134312 = 2311431619909091
BaseRepresentation
bin1001101101001010101010…
…01101101001010100101000
32210120101022212201100111112
410312211111031221110220
510244141203231244222
6113220521150445452
74331663314550426
oct466452515512450
983511285640445
1021343122134312
116889627037a60
122488534503888
13bba856238484
1453b0268d0116
152702b490ebe2
hex136955369528

21343122134312 has 64 divisors (see below), whose sum is σ = 43828416230400. Its totient is φ = 9663263064000.

The previous prime is 21343122134297. The next prime is 21343122134333.

21343122134312 is nontrivially palindromic in base 10.

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, 23022887 + ... + 23931977.

It is an arithmetic number, because the mean of its divisors is an integer number (684819003600).

Almost surely, 221343122134312 is an apocalyptic number.

21343122134312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21343122134312 is an abundant number, since it is smaller than the sum of its proper divisors (22485294096088).

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

21343122134312 is a wasteful number, since it uses less digits than its factorization.

21343122134312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910158 (or 910154 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 2134312 and 2134312, that added together give a palindrome (4268624).

The spelling of 21343122134312 in words is "twenty-one trillion, three hundred forty-three billion, one hundred twenty-two million, one hundred thirty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 431 619 862 1238 1724 2476 3448 4741 4952 6809 9482 13618 18964 27236 37928 54472 266789 533578 909091 1067156 1818182 2134312 2934679 3636364 5869358 7272728 10000001 11738716 20000002 23477432 40000004 80000008 391818221 562727329 783636442 1125454658 1567272884 2250909316 3134545768 4310000431 4501818632 6190000619 8620000862 12380001238 17240001724 24760002476 34480003448 49520004952 242535478799 485070957598 970141915196 1940283830392 2667890266789 5335780533578 10671561067156 21343122134312