Search a number
-
+
1320001233213 = 313109929334247
BaseRepresentation
bin10011001101010110001…
…101000110000100111101
311200012011011012101010110
4103031112031012010331
5133111330303430323
62450222235300233
7164236601232555
oct23152615060475
94605134171113
101320001233213
1146989a3137a3
121939a98aa679
1397624b14490
1447c61ab2165
1524509d36793
hex1335634613d

1320001233213 has 32 divisors (see below), whose sum is σ = 1914839942400. Its totient is φ = 803987306496.

The previous prime is 1320001233209. The next prime is 1320001233217. The reversal of 1320001233213 is 3123321000231.

It is an interprime number because it is at equal distance from previous prime (1320001233209) and next prime (1320001233217).

It is not a de Polignac number, because 1320001233213 - 22 = 1320001233209 is a prime.

It is a super-3 number, since 3×13200012332133 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1320001233213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320001233217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3782056 + ... + 4116302.

It is an arithmetic number, because the mean of its divisors is an integer number (59838748200).

Almost surely, 21320001233213 is an apocalyptic number.

1320001233213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1320001233213 is a deficient number, since it is larger than the sum of its proper divisors (594838709187).

1320001233213 is a wasteful number, since it uses less digits than its factorization.

1320001233213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335301.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1320001233213 its reverse (3123321000231), we get a palindrome (4443322233444).

The spelling of 1320001233213 in words is "one trillion, three hundred twenty billion, one million, two hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 3 13 39 109 327 929 1417 2787 4251 12077 36231 101261 303783 334247 1002741 1316393 3949179 4345211 13035633 36432923 109298769 310515463 473627999 931546389 1420883997 4036701019 12110103057 33846185467 101538556401 440000411071 1320001233213