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401333222121 = 313234331813271
BaseRepresentation
bin1011101011100010101…
…00101111101011101001
31102100220121021001220220
411311301110233223221
523033412301101441
6504211523440253
740665261046656
oct5656124575351
91370817231826
10401333222121
11145228160967
1265945826089
132bacb908a80
14155d3290c2d
15a68d99c466
hex5d7152fae9

401333222121 has 64 divisors (see below), whose sum is σ = 615694700544. Its totient is φ = 230599353600.

The previous prime is 401333222107. The next prime is 401333222137. The reversal of 401333222121 is 121222333104.

It is not a de Polignac number, because 401333222121 - 210 = 401333221097 is a prime.

It is a super-2 number, since 2×4013332221212 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 401333222091 and 401333222100.

It is not an unprimeable number, because it can be changed into a prime (401333222221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122692716 + ... + 122695986.

It is an arithmetic number, because the mean of its divisors is an integer number (9620229696).

Almost surely, 2401333222121 is an apocalyptic number.

It is an amenable number.

401333222121 is a deficient number, since it is larger than the sum of its proper divisors (214361478423).

401333222121 is a wasteful number, since it uses less digits than its factorization.

401333222121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 401333222121 its reverse (121222333104), we get a palindrome (522555555225).

The spelling of 401333222121 in words is "four hundred one billion, three hundred thirty-three million, two hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 13 23 39 43 69 129 299 559 897 989 1677 2967 3181 3271 9543 9813 12857 38571 41353 42523 73163 75233 124059 127569 136783 140653 219489 225699 410349 421959 951119 978029 1778179 1828489 2853357 2934087 3146009 3235019 5334537 5485467 9438027 9705057 10405051 31215153 40898117 42055247 122694351 126165741 135265663 239316173 405796989 447417193 717948519 1342251579 3111110249 5816423509 9333330747 10290595439 17449270527 30871786317 133777740707 401333222121