Search a number
-
+
13220302233020 = 2254321181238969
BaseRepresentation
bin1100000001100001011101…
…1010110001110110111100
31201210211220121000111210012
43000120113122301312330
53213100134332424040
644041153434002352
72533064261602211
oct300302732616674
951724817014705
1013220302233020
114237775a5a073
1215962245763b8
1374b89118250c
14339c1a5c3b08
1517dd55177865
hexc06176b1dbc

13220302233020 has 96 divisors (see below), whose sum is σ = 28549610369280. Its totient is φ = 5139456053760.

The previous prime is 13220302232993. The next prime is 13220302233031. The reversal of 13220302233020 is 2033220302231.

13220302233020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132203022330202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1473995096 + ... + 1474004064.

It is an arithmetic number, because the mean of its divisors is an integer number (297391774680).

Almost surely, 213220302233020 is an apocalyptic number.

13220302233020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220302233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274805184640).

13220302233020 is an abundant number, since it is smaller than the sum of its proper divisors (15329308136260).

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

13220302233020 is a wasteful number, since it uses less digits than its factorization.

13220302233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17355 (or 17353 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 13220302233020 its reverse (2033220302231), we get a palindrome (15253522535251).

The spelling of 13220302233020 in words is "thirteen trillion, two hundred twenty billion, three hundred two million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 211 215 422 430 844 860 1055 2110 4220 8123 8969 9073 16246 17938 18146 32492 35876 36292 40615 44845 45365 81230 89690 90730 162460 179380 181460 349289 385667 698578 771334 1397156 1542668 1713953 1746445 1892459 1928335 3427906 3492890 3784918 3856670 6855812 6985780 7569836 7713340 8569765 9462295 17139530 18924590 34279060 37849180 72855187 73699979 81375737 145710374 147399958 162751474 291420748 294799916 325502948 364275935 368499895 406878685 728551870 736999790 813757370 1457103740 1473999580 1627514740 3132773041 6265546082 12531092164 15372444457 15663865205 30744888914 31327730410 61489777828 62655460820 76862222285 153724444570 307448889140 661015111651 1322030223302 2644060446604 3305075558255 6610151116510 13220302233020