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13033023222132 = 2232566963861073
BaseRepresentation
bin1011110110100111110010…
…1110000011000101110100
31201010221111210112000202200
42331221330232003011310
53202013112421102012
643415142130504500
72513414315352054
oct275517456030564
951127453460680
1013033023222132
114175301925311
121565a79135130
137370164a5944
14330b31b9d564
151790438e03dc
hexbda7cb83174

13033023222132 has 36 divisors (see below), whose sum is σ = 32950398351780. Its totient is φ = 4343574673152.

The previous prime is 13033023222113. The next prime is 13033023222157. The reversal of 13033023222132 is 23122232033031.

13033023222132 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 302 + 3 + 222 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1457418759696 + 11575604462436 = 1207236^2 + 3402294^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 13033023222096 and 13033023222105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31726453 + ... + 32134620.

It is an arithmetic number, because the mean of its divisors is an integer number (915288843105).

Almost surely, 213033023222132 is an apocalyptic number.

13033023222132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13033023222132 is an abundant number, since it is smaller than the sum of its proper divisors (19917375129648).

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

13033023222132 is a wasteful number, since it uses less digits than its factorization.

13033023222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63866752 (or 63866747 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13033023222132 its reverse (23122232033031), we get a palindrome (36155255255163).

The spelling of 13033023222132 in words is "thirteen trillion, thirty-three billion, twenty-three million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 5669 11338 17007 22676 34014 51021 68028 102042 204084 63861073 127722146 191583219 255444292 383166438 574749657 766332876 1149499314 2298998628 362028422837 724056845674 1086085268511 1448113691348 2172170537022 3258255805533 4344341074044 6516511611066 13033023222132