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223100322131331 = 33109127877680623
BaseRepresentation
bin110010101110100010010111…
…011100110010110110000011
31002020221011221001011011001000
4302232202113130302312003
5213220233424431200311
62110254512330343043
764664315650545441
oct6256422734626603
91066834831134030
10223100322131331
11650a53516a21a7
122103240658aa83
13976436855b5a8
143d141828cdb91
151abd540cd5056
hexcae897732d83

223100322131331 has 64 divisors (see below), whose sum is σ = 336561489510400. Its totient is φ = 146041705047168.

The previous prime is 223100322131299. The next prime is 223100322131413. The reversal of 223100322131331 is 133131223001322.

223100322131331 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 0 + 0 + 322 + 1 + 3 + 1 + 331 = 666.

It is not a de Polignac number, because 223100322131331 - 25 = 223100322131299 is a prime.

It is a super-3 number, since 3×2231003221313313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223100322131295 and 223100322131304.

It is not an unprimeable number, because it can be changed into a prime (223100322131831) 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, 327448086 + ... + 328128708.

It is an arithmetic number, because the mean of its divisors is an integer number (5258773273600).

Almost surely, 2223100322131331 is an apocalyptic number.

223100322131331 is a deficient number, since it is larger than the sum of its proper divisors (113461167379069).

223100322131331 is a wasteful number, since it uses less digits than its factorization.

223100322131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681745 (or 681739 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 223100322131331 its reverse (133131223001322), we get a palindrome (356231545132653).

The spelling of 223100322131331 in words is "two hundred twenty-three trillion, one hundred billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 109 127 327 381 877 981 1143 2631 2943 3429 7893 13843 23679 41529 95593 111379 124587 286779 334137 373761 680623 860337 1002411 2041869 2581011 3007233 6125607 12140311 18376821 36420933 74187907 86439121 109262799 222563721 259317363 327788397 596906371 667691163 777952089 1790719113 2003073489 2333856267 5372157339 9421864189 16116472017 28265592567 65062794439 75807109117 84796777701 195188383317 227421327351 254390333103 585565149951 682263982053 1756695449853 2046791946159 8262974893753 24788924681259 74366774043777 223100322131331