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1311233230032 = 243119293267233
BaseRepresentation
bin10011000101001011100…
…101110100010011010000
311122100112002122122220220
4103011023211310103100
5132440401201330112
62442212222433040
7163506403362225
oct23051345642320
94570462578826
101311233230032
114660aaa7a180
12192161432780
139685844230b
144766d40b94c
15241951d498c
hex1314b9744d0

1311233230032 has 80 divisors (see below), whose sum is σ = 3695705120448. Its totient is φ = 397299159040.

The previous prime is 1311233230003. The next prime is 1311233230037. The reversal of 1311233230032 is 2300323321131.

It is a super-3 number, since 3×13112332300323 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1311233229984 and 1311233230011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311233230037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4773088 + ... + 5040320.

Almost surely, 21311233230032 is an apocalyptic number.

1311233230032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311233230032 is an abundant number, since it is smaller than the sum of its proper divisors (2384471890416).

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

1311233230032 is a wasteful number, since it uses less digits than its factorization.

1311233230032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276548 (or 276542 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1311233230032 its reverse (2300323321131), we get a palindrome (3611556551163).

The spelling of 1311233230032 in words is "one trillion, three hundred eleven billion, two hundred thirty-three million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 9293 18586 27879 37172 55758 74344 102223 111516 148688 204446 223032 267233 306669 408892 446064 534466 613338 801699 817784 1068932 1226676 1603398 1635568 2137864 2453352 2939563 3206796 4275728 4906704 5879126 6413592 8818689 11758252 12827184 17637378 23516504 35274756 47033008 70549512 141099024 2483396269 4966792538 7450188807 9933585076 14900377614 19867170152 27317358959 29800755228 39734340304 54634717918 59601510456 81952076877 109269435836 119203020912 163904153754 218538871672 327808307508 437077743344 655616615016 1311233230032