Search a number
-
+
13321230210 = 2325473678581
BaseRepresentation
bin11000110100000000…
…11101011110000010
31021101101020121110200
430122000131132002
5204240213331320
610041504110030
7651053405601
oct143200353602
937341217420
1013321230210
11571653a472
1226b9305316
131343ac3b52
149052a7a38
1552e756290
hex31a01d782

13321230210 has 96 divisors (see below), whose sum is σ = 35472632832. Its totient is φ = 3466869120.

The previous prime is 13321230199. The next prime is 13321230211. The reversal of 13321230210 is 1203212331.

13321230210 is a `hidden beast` number, since 1 + 332 + 123 + 0 + 210 = 666.

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 (13321230211) 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, 1548120 + ... + 1556700.

It is an arithmetic number, because the mean of its divisors is an integer number (369506592).

Almost surely, 213321230210 is an apocalyptic number.

13321230210 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 13321230210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17736316416).

13321230210 is an abundant number, since it is smaller than the sum of its proper divisors (22151402622).

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

13321230210 is a wasteful number, since it uses less digits than its factorization.

13321230210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9008 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13321230210 its reverse (1203212331), we get a palindrome (14524442541).

The spelling of 13321230210 in words is "thirteen billion, three hundred twenty-one million, two hundred thirty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 367 423 470 705 734 846 1101 1410 1835 2115 2202 3303 3670 4230 5505 6606 8581 11010 16515 17162 17249 25743 33030 34498 42905 51486 51747 77229 85810 86245 103494 128715 154458 155241 172490 257430 258735 310482 386145 403307 517470 772290 776205 806614 1209921 1552410 2016535 2419842 3149227 3629763 4033070 6049605 6298454 7259526 9447681 12099210 15746135 18148815 18895362 28343043 31492270 36297630 47238405 56686086 94476810 141715215 148013669 283430430 296027338 444041007 740068345 888082014 1332123021 1480136690 2220205035 2664246042 4440410070 6660615105 13321230210