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13331002121232 = 243898533658327
BaseRepresentation
bin1100000111111101110110…
…1001010101110000010000
31202012102122110101111021220
43001333131221111300100
53221403343020334412
644204102224445040
72544063442250115
oct301773551256020
952172573344256
1013331002121232
11427a712182594
1215b3779779780
1375915367c953
1434131c71290c
15181b8391e68c
hexc1fdda55c10

13331002121232 has 80 divisors (see below), whose sum is σ = 34866207169920. Its totient is φ = 4388586402816.

The previous prime is 13331002121113. The next prime is 13331002121237. The reversal of 13331002121232 is 23212120013331.

13331002121232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13331002121237) 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, 1814853 + ... + 5473179.

It is an arithmetic number, because the mean of its divisors is an integer number (435827589624).

Almost surely, 213331002121232 is an apocalyptic number.

13331002121232 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 13331002121232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17433103584960).

13331002121232 is an abundant number, since it is smaller than the sum of its proper divisors (21535205048688).

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

13331002121232 is a wasteful number, since it uses less digits than its factorization.

13331002121232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659280 (or 3659274 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13331002121232 its reverse (23212120013331), we get a palindrome (36543122134563).

The spelling of 13331002121232 in words is "thirteen trillion, three hundred thirty-one billion, two million, one hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 853 1068 1424 1706 2136 2559 3412 4272 5118 6824 10236 13648 20472 40944 75917 151834 227751 303668 455502 607336 911004 1214672 1822008 3644016 3658327 7316654 10974981 14633308 21949962 29266616 43899924 58533232 87799848 175599696 325591103 651182206 976773309 1302364412 1953546618 2604728824 3120552931 3907093236 5209457648 6241105862 7814186472 9361658793 12482211724 15628372944 18723317586 24964423448 37446635172 49928846896 74893270344 149786540688 277729210859 555458421718 833187632577 1110916843436 1666375265154 2221833686872 3332750530308 4443667373744 6665501060616 13331002121232