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12220031000331 = 36711673249221
BaseRepresentation
bin1011000111010011001010…
…0110110101111100001011
31121021020000222020001000000
42301310302212311330023
53100203110414002311
641553445454014043
72400603521446260
oct261646246657413
947236028201000
1012220031000331
113991538a19030
1214543a77a7323
136a846194ba7b
1430364a135267
15162d0ebd6056
hexb1d329b5f0b

12220031000331 has 112 divisors (see below), whose sum is σ = 23183536889088. Its totient is φ = 6253318843200.

The previous prime is 12220031000279. The next prime is 12220031000347. The reversal of 12220031000331 is 13300013002221.

12220031000331 is a `hidden beast` number, since 1 + 2 + 2 + 20 + 0 + 310 + 0 + 0 + 331 = 666.

It is not a de Polignac number, because 12220031000331 - 213 = 12220030992139 is a prime.

It is a super-2 number, since 2×122200310003312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12220031000131) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2136301 + ... + 5385521.

Almost surely, 212220031000331 is an apocalyptic number.

12220031000331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12220031000331 is a deficient number, since it is larger than the sum of its proper divisors (10963505888757).

12220031000331 is an equidigital number, since it uses as much as digits as its factorization.

12220031000331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249324 (or 3249309 counting only the distinct ones).

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

Adding to 12220031000331 its reverse (13300013002221), we get a palindrome (25520044002552).

The spelling of 12220031000331 in words is "twelve trillion, two hundred twenty billion, thirty-one million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 7 9 11 21 27 33 63 67 77 81 99 189 201 231 243 297 469 567 603 693 729 737 891 1407 1701 1809 2079 2211 2673 4221 5103 5159 5427 6237 6633 8019 12663 15477 16281 18711 19899 37989 46431 48843 56133 59697 113967 139293 179091 341901 417879 537273 1253637 3249221 3760911 9747663 22744547 29242989 35741431 68233641 87728967 107224293 204700923 217697807 250190017 263186901 321672879 614102769 653093421 750570051 789560703 965018637 1523884649 1842308307 1959280263 2251710153 2368682109 2394675877 2895055911 4571653947 5526924921 5877840789 6755130459 7184027631 8685167733 13714961841 16580774763 16762731139 17633522367 20265391377 21552082893 26055503199 41144885523 50288193417 52900567101 60796174131 64656248679 123434656569 150864580251 158701701303 182388522393 193968746037 370303969707 452593740753 581906238111 1110911909121 1357781222259 1745718714333 4073343666777 12220031000331