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1320231331233 = 322234316612309
BaseRepresentation
bin10011001101100011111…
…010110110010110100001
311200012202012011120021100
4103031203322312112201
5133112313210044413
62450301135145013
7164245364104353
oct23154372662641
94605665146240
101320231331233
114699a8193851
12193a52975169
13976606a9259
1447c8448b0d3
1524520138a73
hex13363eb65a1

1320231331233 has 48 divisors (see below), whose sum is σ = 1923734292480. Its totient is φ = 872473852800.

The previous prime is 1320231331219. The next prime is 1320231331247. The reversal of 1320231331233 is 3321331320231.

1320231331233 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 313 + 312 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (1320231331219) and next prime (1320231331247).

It is not a de Polignac number, because 1320231331233 - 26 = 1320231331169 is a prime.

It is a super-2 number, since 2×13202313312332 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1320231331197 and 1320231331206.

It is not an unprimeable number, because it can be changed into a prime (1320231331213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571775083 + ... + 571777391.

It is an arithmetic number, because the mean of its divisors is an integer number (40077797760).

Almost surely, 21320231331233 is an apocalyptic number.

It is an amenable number.

1320231331233 is a deficient number, since it is larger than the sum of its proper divisors (603502961247).

1320231331233 is a wasteful number, since it uses less digits than its factorization.

1320231331233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1320231331233 its reverse (3321331320231), we get a palindrome (4641562651464).

The spelling of 1320231331233 in words is "one trillion, three hundred twenty billion, two hundred thirty-one million, three hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 223 431 661 669 1293 1983 2007 2309 3879 5949 6927 20781 96113 147403 284891 288339 442209 514907 854673 865017 995179 1326627 1526249 1544721 2564019 2985537 4578747 4634163 8956611 13736241 63530693 190592079 221924917 340353527 571776237 657813319 665774751 1021060581 1973439957 1997324253 3063181743 5920319871 146692370137 440077110411 1320231331233