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423214202133 = 3529411917669
BaseRepresentation
bin1100010100010011000…
…10000011110100010101
31111110101112012000200000
412022021202003310111
523413220313432013
6522231045041513
742401433235422
oct6121142036425
91443345160600
10423214202133
11153536425018
126a0316b6299
1330ba7bb7c18
14166ab2ccd49
15b01e91a973
hex6289883d15

423214202133 has 96 divisors (see below), whose sum is σ = 675411609600. Its totient is φ = 264343564800.

The previous prime is 423214202111. The next prime is 423214202137. The reversal of 423214202133 is 331202412324.

423214202133 is a `hidden beast` number, since 4 + 2 + 3 + 21 + 420 + 213 + 3 = 666.

It is not a de Polignac number, because 423214202133 - 26 = 423214202069 is a prime.

It is a super-2 number, since 2×4232142021332 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 423214202097 and 423214202106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423214202137) 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, 55181223 + ... + 55188891.

It is an arithmetic number, because the mean of its divisors is an integer number (7035537600).

Almost surely, 2423214202133 is an apocalyptic number.

It is an amenable number.

423214202133 is a deficient number, since it is larger than the sum of its proper divisors (252197407467).

423214202133 is a wasteful number, since it uses less digits than its factorization.

423214202133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7945 (or 7933 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 423214202133 its reverse (331202412324), we get a palindrome (754416614457).

The spelling of 423214202133 in words is "four hundred twenty-three billion, two hundred fourteen million, two hundred two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 41 81 87 123 191 243 261 369 573 783 1107 1189 1719 2349 3321 3567 5157 5539 7047 7669 7831 9963 10701 15471 16617 23007 23493 32103 46413 49851 69021 70479 96309 149553 207063 211437 222401 227099 288927 314429 448659 621189 634311 667203 681297 943287 1345977 1464779 1863567 1902933 2001609 2043891 2829861 4394337 6004827 6131673 8489583 9118441 13183011 18014481 18395019 25468749 27355323 39549033 42478591 54043443 55185057 60055939 76406247 82065969 118647099 127435773 180167817 246197907 355941297 382307319 540503451 738593721 1146921957 1621510353 1741622231 2215781163 3440765871 4864531059 5224866693 10322297613 14593593177 15674600079 47023800237 141071400711 423214202133