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331121020001 = 23251352916253
BaseRepresentation
bin1001101000110000101…
…10011100110001100001
31011122200101121122110112
410310120112130301201
520411113440120001
6412040452341105
732631326142152
oct4643026346141
91148611548415
10331121020001
11118478202242
125420b914795
13252bc524145
14120523db929
15892e921cbb
hex4d1859cc61

331121020001 has 16 divisors (see below), whose sum is σ = 347013797760. Its totient is φ = 315353808000.

The previous prime is 331121019967. The next prime is 331121020073. The reversal of 331121020001 is 100020121133.

It is a cyclic number.

It is not a de Polignac number, because 331121020001 - 238 = 56243113057 is a prime.

It is a super-2 number, since 2×3311210200012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331121070001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20364791 + ... + 20381043.

It is an arithmetic number, because the mean of its divisors is an integer number (21688362360).

Almost surely, 2331121020001 is an apocalyptic number.

It is an amenable number.

331121020001 is a deficient number, since it is larger than the sum of its proper divisors (15892777759).

331121020001 is a wasteful number, since it uses less digits than its factorization.

331121020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20056.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 331121020001 its reverse (100020121133), we get a palindrome (431141141134).

The spelling of 331121020001 in words is "three hundred thirty-one billion, one hundred twenty-one million, twenty thousand, one".

Divisors: 1 23 251 3529 5773 16253 81167 373819 885779 4079503 20372917 57356837 93828569 1319207251 14396566087 331121020001