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13332121332 = 22347197311981
BaseRepresentation
bin11000110101010100…
…00000011011110100
31021102010201221021120
430122222000123310
5204301010340312
610042533343540
7651245106255
oct143252003364
937363657246
1013332121332
1157216a90a2
122700a97bb0
1313461381ba
14906900b2c
155306a828c
hex31aa806f4

13332121332 has 48 divisors (see below), whose sum is σ = 31788916992. Its totient is φ = 4346919040.

The previous prime is 13332121303. The next prime is 13332121333. The reversal of 13332121332 is 23312123331.

It is a super-2 number, since 2×133321213322 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332121333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1106782 + ... + 1118762.

It is an arithmetic number, because the mean of its divisors is an integer number (662269104).

Almost surely, 213332121332 is an apocalyptic number.

13332121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13332121332 is an abundant number, since it is smaller than the sum of its proper divisors (18456795660).

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

13332121332 is a wasteful number, since it uses less digits than its factorization.

13332121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14008 (or 14006 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 13332121332 its reverse (23312123331), we get a palindrome (36644244663).

The spelling of 13332121332 in words is "thirteen billion, three hundred thirty-two million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 1973 3946 5919 7892 11838 11981 23676 23962 35943 47924 71886 92731 143772 185462 278193 370924 556386 563107 1112772 1126214 1689321 2252428 3378642 6757284 23638513 47277026 70915539 94554052 141831078 283662156 1111010111 2222020222 3333030333 4444040444 6666060666 13332121332