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13020222330 = 23257318110949
BaseRepresentation
bin11000010000001000…
…01101001101111010
31020121101211211021200
430020010031031322
5203131134103310
65551552315030
7640440030603
oct141004151572
936541754250
1013020222330
115581637825
122634542a76
1312c663238b
148b7310daa
155130e89c0
hex30810d37a

13020222330 has 96 divisors (see below), whose sum is σ = 34509056400. Its totient is φ = 3405265920.

The previous prime is 13020222317. The next prime is 13020222331. The reversal of 13020222330 is 3322202031.

It is a happy number.

13020222330 is a `hidden beast` number, since 130 + 202 + 2 + 2 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 221146641 + 12799075689 = 14871^2 + 113133^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13020222331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1183696 + ... + 1194644.

Almost surely, 213020222330 is an apocalyptic number.

13020222330 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 13020222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254528200).

13020222330 is an abundant number, since it is smaller than the sum of its proper divisors (21488834070).

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

13020222330 is a wasteful number, since it uses less digits than its factorization.

13020222330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11216 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13020222330 its reverse (3322202031), we get a palindrome (16342424361).

The spelling of 13020222330 in words is "thirteen billion, twenty million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 181 219 362 365 438 543 657 730 905 1086 1095 1314 1629 1810 2190 2715 3258 3285 5430 6570 8145 10949 13213 16290 21898 26426 32847 39639 54745 65694 66065 79278 98541 109490 118917 132130 164235 197082 198195 237834 328470 396390 492705 594585 799277 985410 1189170 1598554 1981769 2397831 3963538 3996385 4795662 5945307 7193493 7992770 9908845 11890614 11989155 14386986 17835921 19817690 23978310 29726535 35671842 35967465 59453070 71934930 89179605 144669137 178359210 289338274 434007411 723345685 868014822 1302022233 1446691370 2170037055 2604044466 4340074110 6510111165 13020222330