Search a number
-
+
13302203022 = 2336119121143
BaseRepresentation
bin11000110001101111…
…11000001010001110
31021100001102221002000
430120313320022032
5204220330444042
610035544213130
7650432601003
oct143067701216
937301387060
1013302203022
115706824019
1226b2a6a1a6
13133cb91464
149029538aa
1552cc4874c
hex318df828e

13302203022 has 64 divisors (see below), whose sum is σ = 30203781120. Its totient is φ = 4338338400.

The previous prime is 13302203017. The next prime is 13302203029. The reversal of 13302203022 is 22030220331.

It is a happy number.

13302203022 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 13302202986 and 13302203004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13302203029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618583 + ... + 639725.

It is an arithmetic number, because the mean of its divisors is an integer number (471934080).

Almost surely, 213302203022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13302203022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15101890560).

13302203022 is an abundant number, since it is smaller than the sum of its proper divisors (16901578098).

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

13302203022 is a wasteful number, since it uses less digits than its factorization.

13302203022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21406 (or 21400 counting only the distinct ones).

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

Adding to 13302203022 its reverse (22030220331), we get a palindrome (35332423353).

The spelling of 13302203022 in words is "thirteen billion, three hundred two million, two hundred three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 191 366 382 549 573 1098 1146 1647 1719 3294 3438 5157 10314 11651 21143 23302 34953 42286 63429 69906 104859 126858 190287 209718 314577 380574 570861 629154 1141722 1289723 2579446 3869169 4038313 7738338 8076626 11607507 12114939 23215014 24229878 34822521 36344817 69645042 72689634 109034451 218068902 246337093 492674186 739011279 1478022558 2217033837 4434067674 6651101511 13302203022