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13332223332 = 22322359926881
BaseRepresentation
bin11000110101010100…
…11001010101100100
31021102010221010012100
430122222121111210
5204301022121312
610042535452100
7651246012531
oct143252312544
937363833170
1013332223332
11572176879a
122700b27030
13134617275c
14906929d88
155306c85dc
hex31aa99564

13332223332 has 72 divisors (see below), whose sum is σ = 35226172800. Its totient is φ = 4243599360.

The previous prime is 13332223321. The next prime is 13332223343. The reversal of 13332223332 is 23332223331.

13332223332 is a `hidden beast` number, since 1 + 3 + 3 + 322 + 2 + 3 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (13332223321) and next prime (13332223343).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13332223296 and 13332223305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482532 + ... + 509412.

It is an arithmetic number, because the mean of its divisors is an integer number (489252400).

Almost surely, 213332223332 is an apocalyptic number.

13332223332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332223332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17613086400).

13332223332 is an abundant number, since it is smaller than the sum of its proper divisors (21893949468).

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

13332223332 is a wasteful number, since it uses less digits than its factorization.

13332223332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27513 (or 27508 counting only the distinct ones).

The product of its digits is 11664, while the sum is 27.

Adding to 13332223332 its reverse (23332223331), we get a palindrome (36664446663).

Subtracting 13332223332 from its reverse (23332223331), we obtain a palindrome (9999999999).

The spelling of 13332223332 in words is "thirteen billion, three hundred thirty-two million, two hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 599 828 1198 1797 2396 3594 5391 7188 10782 13777 21564 26881 27554 41331 53762 55108 80643 82662 107524 123993 161286 165324 241929 247986 322572 483858 495972 618263 967716 1236526 1854789 2473052 3709578 5564367 7419156 11128734 16101719 22257468 32203438 48305157 64406876 96610314 144915471 193220628 289830942 370339537 579661884 740679074 1111018611 1481358148 2222037222 3333055833 4444074444 6666111666 13332223332