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13031211303006 = 231319251222115773
BaseRepresentation
bin1011110110100001000010…
…1110001000000001011110
31201010202211112001222222220
42331220100232020001132
53202000410043144011
643414242243050210
72513321364323031
oct275502056100136
951122745058886
1013031211303006
11417456206a696
121565652370966
13736ab7ca1650
143309dd2a3018
15178e897d0506
hexbda10b8805e

13031211303006 has 128 divisors (see below), whose sum is σ = 29677390364160. Its totient is φ = 3781494720000.

The previous prime is 13031211302959. The next prime is 13031211303029. The reversal of 13031211303006 is 60030311213031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 826164136 + ... + 826179908.

It is an arithmetic number, because the mean of its divisors is an integer number (231854612220).

Almost surely, 213031211303006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031211303006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14838695182080).

13031211303006 is an abundant number, since it is smaller than the sum of its proper divisors (16646179061154).

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

13031211303006 is a wasteful number, since it uses less digits than its factorization.

13031211303006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18282.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13031211303006 its reverse (60030311213031), we get a palindrome (73061522516037).

The spelling of 13031211303006 in words is "thirteen trillion, thirty-one billion, two hundred eleven million, three hundred three thousand, six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 251 494 502 741 753 1482 1506 2221 3263 4442 4769 6526 6663 9538 9789 13326 14307 15773 19578 28614 28873 31546 42199 47319 57746 61997 84398 86619 94638 123994 126597 173238 185991 205049 253194 299687 371982 410098 548587 557471 599374 615147 899061 1097174 1114942 1230294 1645761 1672413 1798122 3291522 3344826 3895931 3959023 7247123 7791862 7918046 10591949 11687793 11877069 14494246 21183898 21741369 23375586 23754138 31775847 35031833 43482738 51467299 63551694 70063666 75221437 102934598 105095499 137695337 150442874 154401897 210190998 225664311 275390674 308803794 413086011 451328622 455413829 665604827 826172022 910827658 977878681 1331209654 1366241487 1955757362 1996814481 2732482974 2933636043 3993628962 5867272086 8652862751 8792990083 17305725502 17585980166 25958588253 26378970249 51917176506 52757940498 114308871079 167066811577 228617742158 334133623154 342926613237 501200434731 685853226474 1002400869462 2171868550501 4343737101002 6515605651503 13031211303006