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13142022223032 = 2333211288354007
BaseRepresentation
bin1011111100111101110110…
…0100001111010010111000
31201112100212010100222112000
42333033131210033102320
53210304330142114112
643541210041421000
72524323363520563
oct277173544172270
951470763328460
1013142022223032
114207555a29a3a
12158301879a760
137443974a5991
143361120554da
1517bcc2baa7dc
hexbf3dd90f4b8

13142022223032 has 64 divisors (see below), whose sum is σ = 36678629817600. Its totient is φ = 4359912570720.

The previous prime is 13142022223003. The next prime is 13142022223079. The reversal of 13142022223032 is 23032222024131.

13142022223032 is a `hidden beast` number, since 1 + 3 + 1 + 420 + 2 + 2 + 2 + 230 + 3 + 2 = 666.

It is a super-2 number, since 2×131420222230322 (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 = 13142022222987 and 13142022223005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144131428 + ... + 144222579.

It is an arithmetic number, because the mean of its divisors is an integer number (573103590900).

Almost surely, 213142022223032 is an apocalyptic number.

13142022223032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13142022223032 is an abundant number, since it is smaller than the sum of its proper divisors (23536607594568).

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

13142022223032 is a wasteful number, since it uses less digits than its factorization.

13142022223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288354233 (or 288354223 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13142022223032 its reverse (23032222024131), we get a palindrome (36174244247163).

The spelling of 13142022223032 in words is "thirteen trillion, one hundred forty-two billion, twenty-two million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 211 216 422 633 844 1266 1688 1899 2532 3798 5064 5697 7596 11394 15192 22788 45576 288354007 576708014 865062021 1153416028 1730124042 2306832056 2595186063 3460248084 5190372126 6920496168 7785558189 10380744252 15571116378 20761488504 31142232756 60842695477 62284465512 121685390954 182528086431 243370781908 365056172862 486741563816 547584259293 730112345724 1095168518586 1460224691448 1642752777879 2190337037172 3285505555758 4380674074344 6571011111516 13142022223032