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132212100023223 = 311213119913971409
BaseRepresentation
bin11110000011111100000111…
…010000011100001110110111
3122100010100112120110200122120
4132003330013100130032313
5114312130340101220343
61145105222242331023
736564003042520263
oct3603740720341667
9570110476420576
10132212100023223
1139143922778800
12129b3710959a73
1358a0716c2147c
142491157b470a3
151044217e27683
hex783f0741c3b7

132212100023223 has 48 divisors (see below), whose sum is σ = 196225659168000. Its totient is φ = 79117289222400.

The previous prime is 132212100023221. The next prime is 132212100023407. The reversal of 132212100023223 is 322320001212231.

It is not a de Polignac number, because 132212100023223 - 21 = 132212100023221 is a prime.

It is a super-3 number, since 3×1322121000232233 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132212100023193 and 132212100023202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132212100023221) 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, 2477343 + ... + 16448751.

It is an arithmetic number, because the mean of its divisors is an integer number (4088034566000).

Almost surely, 2132212100023223 is an apocalyptic number.

132212100023223 is a deficient number, since it is larger than the sum of its proper divisors (64013559144777).

132212100023223 is a wasteful number, since it uses less digits than its factorization.

132212100023223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13971764 (or 13971753 counting only the distinct ones).

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

Adding to 132212100023223 its reverse (322320001212231), we get a palindrome (454532101235454).

The spelling of 132212100023223 in words is "one hundred thirty-two trillion, two hundred twelve billion, one hundred million, twenty-three thousand, two hundred twenty-three".

Divisors: 1 3 11 33 121 131 199 363 393 597 1441 2189 4323 6567 15851 24079 26069 47553 72237 78207 286759 860277 3154349 9463047 13971409 41914227 153685499 461056497 1690540489 1830254579 2780310391 5071621467 5490763737 8340931173 20132800369 30583414301 60398401107 91750242903 221460804059 336417557311 364220661221 664382412177 1009252671933 1092661983663 4006427273431 12019281820293 44070700007741 132212100023223