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23330133120021 = 37131940910997087
BaseRepresentation
bin1010100110111111110000…
…10011000001010000010101
310001121100011002102220120020
411103133320103001100111
511024220103034320041
6121341414252055353
74625355306344250
oct523377023012025
9101540132386506
1023330133120021
117485287a27092
122749652464559
131003039776270
145a9282274097
152a6d0c40a866
hex1537f84c1415

23330133120021 has 64 divisors (see below), whose sum is σ = 40398902476800. Its totient is φ = 11629814340096.

The previous prime is 23330133120017. The next prime is 23330133120037. The reversal of 23330133120021 is 12002133103332.

It is not a de Polignac number, because 23330133120021 - 22 = 23330133120017 is a prime.

It is a super-2 number, since 2×233301331200212 (a number of 28 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 = 23330133119973 and 23330133120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23330133120001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3377061 + ... + 7620026.

It is an arithmetic number, because the mean of its divisors is an integer number (631232851200).

Almost surely, 223330133120021 is an apocalyptic number.

23330133120021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23330133120021 is a deficient number, since it is larger than the sum of its proper divisors (17068769356779).

23330133120021 is a wasteful number, since it uses less digits than its factorization.

23330133120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997538.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 23330133120021 its reverse (12002133103332), we get a palindrome (35332266223353).

The spelling of 23330133120021 in words is "twenty-three trillion, three hundred thirty billion, one hundred thirty-three million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 409 741 1227 1729 2863 5187 5317 7771 8589 15951 23313 37219 54397 101023 111657 163191 303069 707161 2121483 10997087 32991261 76979609 142962131 208944653 230938827 428886393 626833959 1000734917 1462612571 2716280489 3002204751 4387837713 4497808583 8148841467 13493425749 19013963423 31484660081 57041890269 58471511579 85458363077 94453980243 175414534737 256375089231 409300581053 598208541539 1110958720001 1227901743159 1794625624617 3332876160003 7776711040007 23330133120021