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2113342012314 = 2331323658119889
BaseRepresentation
bin11110110000001100111…
…111111111101110011010
321111000220102211122101000
4132300030333333232122
5234111111023343224
64254504513405430
7305453404466451
oct36601477775632
97430812748330
102113342012314
11745299520245
122a16b5b69876
13124397263050
1474401867b98
1539e8d6c60c9
hex1ec0cfffb9a

2113342012314 has 128 divisors (see below), whose sum is σ = 5278532313600. Its totient is φ = 621861166080.

The previous prime is 2113342012307. The next prime is 2113342012333. The reversal of 2113342012314 is 4132102433112.

2113342012314 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 420 + 1 + 231 + 4 = 666.

It is a super-2 number, since 2×21133420123142 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106246882 + ... + 106266770.

It is an arithmetic number, because the mean of its divisors is an integer number (41238533700).

Almost surely, 22113342012314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113342012314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639266156800).

2113342012314 is an abundant number, since it is smaller than the sum of its proper divisors (3165190301286).

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

2113342012314 is a wasteful number, since it uses less digits than its factorization.

2113342012314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26517 (or 26511 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2113342012314 its reverse (4132102433112), we get a palindrome (6245444445426).

The spelling of 2113342012314 in words is "two trillion, one hundred thirteen billion, three hundred forty-two million, twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 414 598 621 702 897 1242 1794 2691 5382 6581 8073 13162 16146 19743 19889 39486 39778 59229 59667 85553 118458 119334 151363 171106 177687 179001 256659 258557 302726 355374 358002 454089 457447 513318 517114 537003 769977 775671 908178 914894 1074006 1362267 1372341 1539954 1551342 1967719 2309931 2327013 2724534 2744682 3935438 4086801 4117023 4619862 4654026 5903157 5946811 6981039 8173602 8234046 11806314 11893622 12351069 13962078 17709471 17840433 24702138 35418942 35680866 53128413 53521299 106256826 107042598 130889509 160563897 261779018 321127794 392668527 785337054 1178005581 1701563617 2356011162 3010458707 3403127234 3534016743 5104690851 6020917414 7068033486 9031376121 10209381702 15314072553 18062752242 27094128363 30628145106 39135963191 45942217659 54188256726 78271926382 81282385089 91884435318 117407889573 162564770178 234815779146 352223668719 704447337438 1056671006157 2113342012314