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13142233021335 = 3511131716047369
BaseRepresentation
bin1011111100111110101000…
…1000010111101110010111
31201112101101211000122102120
42333033222020113232113
53210310243123140320
643541243011511023
72524331533341105
oct277175210275627
951471354018376
1013142233021335
114207653a17910
1215830772b8473
137443cc070cc2
14336132048c75
1517bcd6449440
hexbf3ea217b97

13142233021335 has 32 divisors (see below), whose sum is σ = 22940915800320. Its totient is φ = 6371506924800.

The previous prime is 13142233021301. The next prime is 13142233021369. The reversal of 13142233021335 is 53312033224131.

It is an interprime number because it is at equal distance from previous prime (13142233021301) and next prime (13142233021369).

It is not a de Polignac number, because 13142233021335 - 28 = 13142233021079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13142233021296 and 13142233021305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850470 + ... + 5196899.

It is an arithmetic number, because the mean of its divisors is an integer number (716903618760).

Almost surely, 213142233021335 is an apocalyptic number.

13142233021335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13142233021335 is a deficient number, since it is larger than the sum of its proper divisors (9798682778985).

13142233021335 is a wasteful number, since it uses less digits than its factorization.

13142233021335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060559.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 13142233021335 its reverse (53312033224131), we get a palindrome (66454266245466).

The spelling of 13142233021335 in words is "thirteen trillion, one hundred forty-two billion, two hundred thirty-three million, twenty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 165 13171 39513 65855 144881 197565 434643 724405 2173215 6047369 18142107 30236845 66521059 90710535 199563177 332605295 997815885 79649897099 238949691297 398249485495 876148868089 1194748456485 2628446604267 4380744340445 13142233021335