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23203320212001 = 31922913119329221
BaseRepresentation
bin1010100011010011100011…
…01010001010101000100001
310001011012211021120201020010
411101221301222022220201
511020130344433241001
6121203242543235133
74613245622406246
oct521516152125041
9101135737521203
1023203320212001
117436522394376
122728b60ba8aa9
13cc40a9c70b97
145a30921935cd
152a38892958d6
hex151a71a8aa21

23203320212001 has 96 divisors (see below), whose sum is σ = 34213052142720. Its totient is φ = 13968151142400.

The previous prime is 23203320211999. The next prime is 23203320212003. The reversal of 23203320212001 is 10021202330232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23203320211999) and next prime (23203320212003).

It is not a de Polignac number, because 23203320212001 - 21 = 23203320211999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23203320212003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 794048571 + ... + 794077791.

It is an arithmetic number, because the mean of its divisors is an integer number (356385959820).

Almost surely, 223203320212001 is an apocalyptic number.

It is an amenable number.

23203320212001 is a deficient number, since it is larger than the sum of its proper divisors (11009731930719).

23203320212001 is a wasteful number, since it uses less digits than its factorization.

23203320212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29615 (or 29596 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23203320212001 its reverse (10021202330232), we get a palindrome (33224522542233).

The spelling of 23203320212001 in words is "twenty-three trillion, two hundred three billion, three hundred twenty million, two hundred twelve thousand, one".

Divisors: 1 3 19 29 57 87 131 193 361 393 551 579 1083 1653 2489 3667 3799 5597 7467 10469 11001 11397 16791 25283 29221 31407 47291 69673 72181 75849 87663 106343 141873 209019 216543 319029 480377 555199 733207 847409 1371439 1441131 1665597 2020517 2199621 2542227 3827951 4114317 5639653 6061551 9127163 10548781 11483853 13930933 16100771 16918959 27381489 31646343 41792799 48302313 72731069 107153407 111010579 163549937 218193207 264687727 305914649 321460221 333031737 490649811 738794543 794063181 917743947 1381890311 2035914733 2109201001 2216383629 3107448803 4145670933 6107744199 6327603003 9322346409 14037096317 21425041747 40074819019 42111288951 59041527257 64275125241 120224457057 177124581771 266704830023 407075793193 800114490069 1221227379579 7734440070667 23203320212001