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102223203010033 = 7314359571325187
BaseRepresentation
bin10111001111100010110001…
…101101000000010111110001
3111101221102221210000002202011
4113033202301231000113301
5101344311104432310113
61001224405142522521
730350245160006020
oct2717426155002761
9441842853002664
10102223203010033
112a631687167006
12b56b65ba36441
1345067b6b57a01
141b358b51d88b7
15bc40d7c8263d
hex5cf8b1b405f1

102223203010033 has 64 divisors (see below), whose sum is σ = 125711333130240. Its totient is φ = 81274907649600.

The previous prime is 102223203010031. The next prime is 102223203010079. The reversal of 102223203010033 is 330010302322201.

It is not a de Polignac number, because 102223203010033 - 21 = 102223203010031 is a prime.

It is a super-2 number, since 2×1022232030100332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102223203009986 and 102223203010013.

It is not an unprimeable number, because it can be changed into a prime (102223203010031) 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, 314189466 + ... + 314514652.

It is an arithmetic number, because the mean of its divisors is an integer number (1964239580160).

Almost surely, 2102223203010033 is an apocalyptic number.

It is an amenable number.

102223203010033 is a deficient number, since it is larger than the sum of its proper divisors (23488130120207).

102223203010033 is a wasteful number, since it uses less digits than its factorization.

102223203010033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325898.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 102223203010033 its reverse (330010302322201), we get a palindrome (432233505332234).

The spelling of 102223203010033 in words is "one hundred two trillion, two hundred twenty-three billion, two hundred three million, ten thousand, thirty-three".

Divisors: 1 7 31 43 59 217 301 413 571 1333 1829 2537 3997 9331 12803 17701 17759 24553 33689 78647 123907 171871 235823 325187 550529 761143 1044359 1448627 2276309 5328001 7310513 10080797 10140389 13983041 19186033 44907437 70565579 97881287 134302231 185681777 314352059 433474271 594767023 824999419 1299772439 3034319897 4163369161 5756135087 5774995933 7984316411 10955224843 25574981989 40292945609 55890214877 76686573901 179024873923 247513808741 339611970133 471074668249 1732596661187 2377283790931 3297522677743 14603314715719 102223203010033