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1312412344233 = 3192329533471877
BaseRepresentation
bin10011000110010001110…
…111110001111110101001
311122110120021100212112020
4103012101313301332221
5133000310030003413
62442525223135053
7163550541602034
oct23062167617651
94573507325466
101312412344233
11466655610121
121924302a4489
13969b5803123
1447741c6201b
1524213996c23
hex13191df1fa9

1312412344233 has 128 divisors (see below), whose sum is σ = 2032783257600. Its totient is φ = 748506350592.

The previous prime is 1312412344231. The next prime is 1312412344237. The reversal of 1312412344233 is 3324432142131.

It is not a de Polignac number, because 1312412344233 - 21 = 1312412344231 is a prime.

It is a super-2 number, since 2×13124123442332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312412344194 and 1312412344203.

It is not an unprimeable number, because it can be changed into a prime (1312412344231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 699206491 + ... + 699208367.

It is an arithmetic number, because the mean of its divisors is an integer number (15881119200).

Almost surely, 21312412344233 is an apocalyptic number.

It is an amenable number.

1312412344233 is a deficient number, since it is larger than the sum of its proper divisors (720370913367).

1312412344233 is a wasteful number, since it uses less digits than its factorization.

1312412344233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351.

The product of its digits is 41472, while the sum is 33.

Adding to 1312412344233 its reverse (3324432142131), we get a palindrome (4636844486364).

The spelling of 1312412344233 in words is "one trillion, three hundred twelve billion, four hundred twelve million, three hundred forty-four thousand, two hundred thirty-three".

Divisors: 1 3 19 23 29 53 57 69 87 159 347 437 551 667 1007 1041 1219 1311 1537 1653 1877 2001 3021 3657 4611 5631 6593 7981 10063 12673 18391 19779 23161 23943 29203 30189 35351 35663 38019 43171 54433 55173 69483 87609 99481 106053 106989 129513 151639 163299 191197 231449 298443 349429 422993 454917 533339 573591 651319 671669 694347 820249 1034227 1048287 1251959 1268979 1600017 1890139 1953957 2015007 2288063 2460747 2884949 3102681 3755877 4397531 5670417 6864189 8036867 8654847 10133441 12266797 12375061 13192593 14980337 18888251 23787221 24110601 30400323 34519907 36800391 37125183 43473197 44941011 54814031 56664753 66353827 71361663 103559721 130419591 164442093 199061481 233069143 284626403 358876769 434429773 655878233 699207429 793957861 853879209 1001077303 1076630307 1260722713 1303289319 1967634699 2381873583 3003231909 3782168139 8254165687 15085199359 19020468757 23024777969 24762497061 45255598077 57061406271 69074333907 437470781411 1312412344233