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13023320132232 = 2332893607563447
BaseRepresentation
bin1011110110000011101001…
…0111101100101010001000
31201010000110120102222201200
42331200322113230222020
53201333224423212412
643410455231544200
72512622004430164
oct275407227545210
951100416388650
1013023320132232
114171182774253
12156400b68b060
1373612b173a27
14330491247ca4
15178b76b309dc
hexbd83a5eca88

13023320132232 has 96 divisors (see below), whose sum is σ = 35677752739200. Its totient is φ = 4291132614912.

The previous prime is 13023320132213. The next prime is 13023320132257. The reversal of 13023320132232 is 23223102332031.

13023320132232 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 332 + 0 + 1 + 322 + 3 + 2 = 666.

13023320132232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13023320132196 and 13023320132205.

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, 22831933 + ... + 23395379.

It is an arithmetic number, because the mean of its divisors is an integer number (371643257700).

Almost surely, 213023320132232 is an apocalyptic number.

13023320132232 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 13023320132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17838876369600).

13023320132232 is an abundant number, since it is smaller than the sum of its proper divisors (22654432606968).

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

13023320132232 is a wasteful number, since it uses less digits than its factorization.

13023320132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567155 (or 567148 counting only the distinct ones).

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

Adding to 13023320132232 its reverse (23223102332031), we get a palindrome (36246422464263).

The spelling of 13023320132232 in words is "thirteen trillion, twenty-three billion, three hundred twenty million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 3607 6408 7214 10821 14428 21642 28856 32463 43284 64926 86568 129852 259704 321023 563447 642046 963069 1126894 1284092 1690341 1926138 2253788 2568184 2889207 3380682 3852276 4507576 5071023 5778414 6761364 7704552 10142046 11556828 13522728 20284092 23113656 40568184 50146783 100293566 150440349 200587132 300880698 401174264 451321047 601761396 902642094 1203522792 1805284188 2032353329 3610568376 4064706658 6097059987 8129413316 12194119974 16258826632 18291179961 24388239948 36582359922 48776479896 73164719844 146329439688 180879446281 361758892562 542638338843 723517785124 1085276677686 1447035570248 1627915016529 2170553355372 3255830033058 4341106710744 6511660066116 13023320132232