Search a number
-
+
13102023131313 = 3103131932146603
BaseRepresentation
bin1011111010101000110101…
…1011110100000010110001
31201101112121112000120221120
42332222031123310002301
53204130420410200223
643510553014212453
72521406230042044
oct276521533640261
951345545016846
1013102023131313
1141a159a541346
121577315054129
1374069168097c
143341d9a42c5b
1517ac31302be3
hexbea8d6f40b1

13102023131313 has 16 divisors (see below), whose sum is σ = 17652343188480. Its totient is φ = 8643321172944.

The previous prime is 13102023131311. The next prime is 13102023131321. The reversal of 13102023131313 is 31313132020131.

It is not a de Polignac number, because 13102023131313 - 21 = 13102023131311 is a prime.

It is a super-2 number, since 2×131020231313132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13102023131311) 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 15 ways as a sum of consecutive naturals, for example, 15665731 + ... + 16480872.

It is an arithmetic number, because the mean of its divisors is an integer number (1103271449280).

Almost surely, 213102023131313 is an apocalyptic number.

It is an amenable number.

13102023131313 is a deficient number, since it is larger than the sum of its proper divisors (4550320057167).

13102023131313 is a wasteful number, since it uses less digits than its factorization.

13102023131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32148028.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13102023131313 its reverse (31313132020131), we get a palindrome (44415155151444).

The spelling of 13102023131313 in words is "thirteen trillion, one hundred two billion, twenty-three million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 103 309 1319 3957 135857 407571 32146603 96439809 3311100109 9933300327 42401369357 127204108071 4367341043771 13102023131313