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12334446201 = 3711192211701
BaseRepresentation
bin10110111110011000…
…01011011001111001
31011211121102210021210
423133030023121321
5200230104234301
65355533553333
7614442030360
oct133714133171
934747383253
1012334446201
11525a522aa0
122482945849
13121753329c
148501da7d7
154c2cd5ad6
hex2df30b679

12334446201 has 96 divisors (see below), whose sum is σ = 21773546496. Its totient is φ = 6032880000.

The previous prime is 12334446193. The next prime is 12334446211. The reversal of 12334446201 is 10264443321.

It is not a de Polignac number, because 12334446201 - 23 = 12334446193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12334446211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17595151 + ... + 17595851.

It is an arithmetic number, because the mean of its divisors is an integer number (226807776).

Almost surely, 212334446201 is an apocalyptic number.

12334446201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12334446201 is a deficient number, since it is larger than the sum of its proper divisors (9439100295).

12334446201 is a wasteful number, since it uses less digits than its factorization.

12334446201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12334446201 its reverse (10264443321), we get a palindrome (22598889522).

The spelling of 12334446201 in words is "twelve billion, three hundred thirty-four million, four hundred forty-six thousand, two hundred one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 211 231 361 399 627 633 701 1083 1463 1477 2103 2321 2527 3971 4009 4389 4431 4907 6963 7581 7711 11913 12027 13319 14721 16247 23133 27797 28063 39957 44099 48741 53977 76171 83391 84189 93233 132297 146509 147911 161931 228513 253061 279699 308693 439527 443733 533197 759183 837881 926079 1025563 1035377 1599591 1627021 1771427 2513643 2783671 2810309 3076689 3106131 4881063 5314281 5865167 8351013 8430927 11389147 17595501 19485697 19672163 30913399 34167441 53395871 58457091 59016489 92740197 160187613 216393793 373771097 587354581 649181379 1121313291 1762063743 4111482067 12334446201