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13233121332030 = 2335175092799221
BaseRepresentation
bin1100000010010001001101…
…1111110000101100111110
31201212001222222102012202000
43000210103133300230332
53213302413030111110
644051113443443130
72534030040256545
oct300442337605476
951761888365660
1013233121332030
114242154006976
1215988016864a6
1374cb54c261c2
1433a6b4cdd15c
1517e3557941c0
hexc09137f0b3e

13233121332030 has 64 divisors (see below), whose sum is σ = 35290351598400. Its totient is φ = 3528629550720.

The previous prime is 13233121332029. The next prime is 13233121332047. The reversal of 13233121332030 is 3023312133231.

13233121332030 is a `hidden beast` number, since 1 + 3 + 2 + 331 + 2 + 1 + 3 + 320 + 3 + 0 = 666.

13233121332030 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 13233121331985 and 13233121332003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3327820 + ... + 6127040.

It is an arithmetic number, because the mean of its divisors is an integer number (551411743725).

Almost surely, 213233121332030 is an apocalyptic number.

13233121332030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13233121332030 is an abundant number, since it is smaller than the sum of its proper divisors (22057230266370).

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

13233121332030 is a wasteful number, since it uses less digits than its factorization.

13233121332030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816746 (or 2816740 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13233121332030 its reverse (3023312133231), we get a palindrome (16256433465261).

The spelling of 13233121332030 in words is "thirteen trillion, two hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 17509 35018 52527 87545 105054 157581 175090 262635 315162 472743 525270 787905 945486 1575810 2363715 2799221 4727430 5598442 8397663 13996105 16795326 25192989 27992210 41988315 50385978 75578967 83976630 125964945 151157934 251929890 377894835 755789670 49011560489 98023120978 147034681467 245057802445 294069362934 441104044401 490115604890 735173407335 882208088802 1323312133203 1470346814670 2205520222005 2646624266406 4411040444010 6616560666015 13233121332030