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321214133000043 = 321632039433924749
BaseRepresentation
bin100100100001001000111111…
…0010010110101011101101011
31120010022202211012211222211100
41021002101332102311131223
5314100233021022000133
63055055422514132443
7124441645441650543
oct11102217622653553
91503282735758740
10321214133000043
1193392170052778
123003954b281123
1310a3049400b56a
145946bc01d6323
1527207b4035e13
hex124247e4b576b

321214133000043 has 48 divisors (see below), whose sum is σ = 467177911200000. Its totient is φ = 212666997507264.

The previous prime is 321214133000009. The next prime is 321214133000129. The reversal of 321214133000043 is 340000331412123.

It is a happy number.

321214133000043 is a `hidden beast` number, since 3 + 212 + 1 + 413 + 30 + 0 + 0 + 0 + 4 + 3 = 666.

It is not a de Polignac number, because 321214133000043 - 26 = 321214132999979 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321214132999980 and 321214133000016.

It is not an unprimeable number, because it can be changed into a prime (321214133000743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12978860833 + ... + 12978885581.

It is an arithmetic number, because the mean of its divisors is an integer number (9732873150000).

Almost surely, 2321214133000043 is an apocalyptic number.

321214133000043 is a deficient number, since it is larger than the sum of its proper divisors (145963778199957).

321214133000043 is a wasteful number, since it uses less digits than its factorization.

321214133000043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31296 (or 31293 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 321214133000043 its reverse (340000331412123), we get a palindrome (661214464412166).

The spelling of 321214133000043 in words is "three hundred twenty-one trillion, two hundred fourteen billion, one hundred thirty-three million, forty-three", and thus it is an aban number.

Divisors: 1 3 9 163 489 1467 2039 4339 6117 13017 18351 24749 39051 74247 222741 332357 707257 997071 2121771 2991213 4034087 6365313 8847221 12102261 26541663 36306783 50463211 79624989 107385911 151389633 322157733 454168899 966473199 1442097023 4326291069 8225503393 12978873207 17503903493 24676510179 52511710479 74029530537 157535131437 218959872529 656879617587 1970638852761 35690459222227 107071377666681 321214133000043