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13204533330 = 234535346181
BaseRepresentation
bin11000100110000110…
…10011000001010010
31021002020122210110000
430103003103001102
5204020330031310
610022134550430
7645135452502
oct142303230122
937066583400
1013204533330
11566668436a
122686208416
131325885541
148d39aba02
155243a44c0
hex3130d3052

13204533330 has 80 divisors (see below), whose sum is σ = 35606876184. Its totient is φ = 3511157760.

The previous prime is 13204533317. The next prime is 13204533347. The reversal of 13204533330 is 3333540231.

It is a happy number.

13204533330 is a `hidden beast` number, since 1 + 320 + 4 + 5 + 3 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11627093241 + 1577440089 = 107829^2 + 39717^2 .

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 = 13204533294 and 13204533303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262840 + ... + 309020.

Almost surely, 213204533330 is an apocalyptic number.

13204533330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13204533330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17803438092).

13204533330 is an abundant number, since it is smaller than the sum of its proper divisors (22402342854).

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

13204533330 is a wasteful number, since it uses less digits than its factorization.

13204533330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46553 (or 46544 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The spelling of 13204533330 in words is "thirteen billion, two hundred four million, five hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 353 405 706 810 1059 1765 2118 3177 3530 5295 6354 9531 10590 15885 19062 28593 31770 46181 47655 57186 92362 95310 138543 142965 230905 277086 285930 415629 461810 692715 831258 1246887 1385430 2078145 2493774 3740661 4156290 6234435 7481322 12468870 16301893 18703305 32603786 37406610 48905679 81509465 97811358 146717037 163018930 244528395 293434074 440151111 489056790 733585185 880302222 1320453333 1467170370 2200755555 2640906666 4401511110 6602266665 13204533330