Search a number
-
+
13213213230 = 2357538913339
BaseRepresentation
bin11000100111001000…
…11010001000101110
31021002211222210000210
430103210122020232
5204030040310410
610023045003250
7645302313360
oct142344321056
937084883023
1013213213230
115670572738
1226890b3526
131327604289
148d4bcad30
1552501b220
hex31391a22e

13213213230 has 128 divisors (see below), whose sum is σ = 37343462400. Its totient is φ = 2929665024.

The previous prime is 13213213201. The next prime is 13213213231. The reversal of 13213213230 is 3231231231.

It is a super-2 number, since 2×132132132302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13213213197 and 13213213206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213213231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 983901 + ... + 997239.

It is an arithmetic number, because the mean of its divisors is an integer number (291745800).

Almost surely, 213213213230 is an apocalyptic number.

13213213230 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 13213213230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18671731200).

13213213230 is an abundant number, since it is smaller than the sum of its proper divisors (24130249170).

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

13213213230 is a wasteful number, since it uses less digits than its factorization.

13213213230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13498.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13213213230 its reverse (3231231231), we get a palindrome (16444444461).

The spelling of 13213213230 in words is "thirteen billion, two hundred thirteen million, two hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 89 105 106 159 178 210 265 267 318 371 445 530 534 623 742 795 890 1113 1246 1335 1590 1855 1869 2226 2670 3115 3710 3738 4717 5565 6230 9345 9434 11130 13339 14151 18690 23585 26678 28302 33019 40017 47170 66038 66695 70755 80034 93373 99057 133390 141510 165095 186746 198114 200085 280119 330190 400170 466865 495285 560238 706967 933730 990570 1187171 1400595 1413934 2120901 2374342 2801190 3534835 3561513 4241802 4948769 5935855 7069670 7123026 8310197 9897538 10604505 11871710 14846307 16620394 17807565 21209010 24743845 24930591 29692614 35615130 41550985 49487690 49861182 62920063 74231535 83101970 124652955 125840126 148463070 188760189 249305910 314600315 377520378 440440441 629200630 880880882 943800945 1321321323 1887601890 2202202205 2642642646 4404404410 6606606615 13213213230