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13321231441308 = 22327312887590657
BaseRepresentation
bin1100000111011001011101…
…0001001001110110011100
31202011111102112010112011200
43001312113101021312130
53221223340222110213
644155404513115500
72543266350656610
oct301662721116634
952144375115150
1013321231441308
1142765589570aa
1215b18b1558b90
1375825734413b
14340a72c05340
151817b0c5d273
hexc1d97449d9c

13321231441308 has 144 divisors (see below), whose sum is σ = 39738789801984. Its totient is φ = 3682007746560.

The previous prime is 13321231441249. The next prime is 13321231441319. The reversal of 13321231441308 is 80314413212331.

13321231441308 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 231 + 4 + 413 + 0 + 8 = 666.

13321231441308 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 2×133212314413082 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22257916 + ... + 22848572.

Almost surely, 213321231441308 is an apocalyptic number.

13321231441308 is a gapful number since it is divisible by the number (18) 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 13321231441308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869394900992).

13321231441308 is an abundant number, since it is smaller than the sum of its proper divisors (26417558360676).

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

13321231441308 is a wasteful number, since it uses less digits than its factorization.

13321231441308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593592 (or 593587 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 13321231441308 its reverse (80314413212331), we get a palindrome (93635644653639).

The spelling of 13321231441308 in words is "thirteen trillion, three hundred twenty-one billion, two hundred thirty-one million, four hundred forty-one thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 2887 3906 5774 7812 8661 11548 17322 20209 25983 34644 40418 51966 60627 80836 89497 103932 121254 178994 181881 242508 268491 357988 363762 536982 590657 626479 727524 805473 1073964 1181314 1252958 1610946 1771971 1879437 2362628 2505916 3221892 3543942 3758874 4134599 5315913 5638311 7087884 7517748 8269198 10631826 11276622 12403797 16538396 18310367 21263652 22553244 24807594 36620734 37211391 49615188 54931101 73241468 74422782 109862202 128172569 148845564 164793303 219724404 256345138 329586606 384517707 512690276 659173212 769035414 1153553121 1538070828 1705226759 2307106242 3410453518 4614212484 5115680277 6820907036 10231360554 11936587313 15347040831 20462721108 23873174626 30694081662 35809761939 47746349252 52862029529 61388163324 71619523878 105724059058 107429285817 143239047756 158586088587 211448118116 214858571634 317172177174 370034206703 429717143268 475758265761 634344354348 740068413406 951516531522 1110102620109 1480136826812 1903033063044 2220205240218 3330307860327 4440410480436 6660615720654 13321231441308