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13142113401033 = 341511576843899
BaseRepresentation
bin1011111100111110001100…
…0000000011100011001001
31201112101002110221022020000
42333033203000003203021
53210310022012313113
643541223055553213
72524325551520631
oct277174300034311
951471073838200
1013142113401033
1142075a2445361
12158304322b809
137443b034ab66
143361201cb6c1
1517bccabbb373
hexbf3e30038c9

13142113401033 has 40 divisors (see below), whose sum is σ = 19887935390400. Its totient is φ = 8647949512800.

The previous prime is 13142113401023. The next prime is 13142113401041. The reversal of 13142113401033 is 33010431124131.

13142113401033 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 211 + 340 + 103 + 3 = 666.

It is not a de Polignac number, because 13142113401033 - 214 = 13142113384649 is a prime.

It is a super-2 number, since 2×131421134010332 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13142113400988 and 13142113401006.

It is not an unprimeable number, because it can be changed into a prime (13142113401023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1501683 + ... + 5342216.

It is an arithmetic number, because the mean of its divisors is an integer number (497198384760).

Almost surely, 213142113401033 is an apocalyptic number.

It is an amenable number.

13142113401033 is a deficient number, since it is larger than the sum of its proper divisors (6745821989367).

13142113401033 is a wasteful number, since it uses less digits than its factorization.

13142113401033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6844219 (or 6844210 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13142113401033 its reverse (33010431124131), we get a palindrome (46152544525164).

The spelling of 13142113401033 in words is "thirteen trillion, one hundred forty-two billion, one hundred thirteen million, four hundred one thousand, thirty-three".

Divisors: 1 3 9 27 81 151 157 453 471 1359 1413 4077 4239 12231 12717 23707 71121 213363 640089 1920267 6843899 20531697 61595091 184785273 554355819 1033428749 1074492143 3100286247 3223476429 9300858741 9670429287 27902576223 29011287861 83707728669 87033863583 162248313593 486744940779 1460234822337 4380704467011 13142113401033