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1201003211331 = 3272112915754377
BaseRepresentation
bin10001011110100001010…
…111101010101001000011
311020210222222102112012200
4101132201113222221003
5124134123310230311
62315422214524243
7152524656600300
oct21364127525103
94223888375180
101201003211331
11423385003670
12174919666683
138933c3aa791
14421b38700a7
1521392d03556
hex117a15eaa43

1201003211331 has 144 divisors (see below), whose sum is σ = 2291928294240. Its totient is φ = 598536207360.

The previous prime is 1201003211323. The next prime is 1201003211371. The reversal of 1201003211331 is 1331123001021.

1201003211331 is a `hidden beast` number, since 1 + 2 + 0 + 10 + 0 + 321 + 1 + 331 = 666.

It is not a de Polignac number, because 1201003211331 - 23 = 1201003211323 is a prime.

It is a super-2 number, since 2×12010032113312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1201003211371) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22059415 + ... + 22113791.

It is an arithmetic number, because the mean of its divisors is an integer number (15916168710).

Almost surely, 21201003211331 is an apocalyptic number.

1201003211331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1201003211331 is a deficient number, since it is larger than the sum of its proper divisors (1090925082909).

1201003211331 is a wasteful number, since it uses less digits than its factorization.

1201003211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54594 (or 54584 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1201003211331 its reverse (1331123001021), we get a palindrome (2532126212352).

The spelling of 1201003211331 in words is "one trillion, two hundred one billion, three million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 21 29 33 49 63 77 87 99 147 157 203 231 261 319 441 471 539 609 693 957 1099 1413 1421 1617 1727 1827 2233 2871 3297 4263 4553 4851 5181 6699 7693 9891 12089 12789 13659 15543 15631 20097 23079 31871 36267 40977 46893 50083 54377 69237 84623 95613 108801 140679 150249 163131 223097 253869 286839 350581 380639 450747 489393 598147 669291 761607 1051743 1141917 1576933 1794441 2007873 2454067 2664473 3155229 3425751 4187029 4730799 5383323 7362201 7993419 8537189 11038531 12561087 14192397 17346263 22086603 23980257 25611567 29309203 33115593 37683261 52038789 59760323 76834701 77269717 87927609 93909079 99346779 121423841 156116367 179280969 231809151 247578481 263782827 281727237 364271523 418322261 537842907 657363553 695427453 742735443 845181711 849966887 1092814569 1254966783 1733049367 1972090659 2228206329 2549900661 2723363291 3764900349 4601544871 5199148101 5916271977 7649701983 8170089873 12131345569 13804634613 15597444303 19063543037 24510269619 36394036707 41413903839 57190629111 109182110121 133444801259 171571887333 400334403777 1201003211331