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102213120020022 = 2321117291047115373
BaseRepresentation
bin10111001111011001011000…
…101101011100111000110110
3111101220110221002002010201200
4113033121120231130320312
5101344124432211120042
61001220020433233330
730346440254005464
oct2717313055347066
9441813832063650
10102213120020022
112a628382619410
12b569707102846
13450586ac0122b
141b351da031834
15bc3be797ec4c
hex5cf658b5ce36

102213120020022 has 96 divisors (see below), whose sum is σ = 264626997317280. Its totient is φ = 28146461199360.

The previous prime is 102213120019961. The next prime is 102213120020057. The reversal of 102213120020022 is 220020021312201.

102213120020022 is a `hidden beast` number, since 10 + 221 + 31 + 200 + 200 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102213120019977 and 102213120020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523460073 + ... + 523655300.

It is an arithmetic number, because the mean of its divisors is an integer number (2756531222055).

Almost surely, 2102213120020022 is an apocalyptic number.

102213120020022 is an abundant number, since it is smaller than the sum of its proper divisors (162413877297258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102213120020022 is a wasteful number, since it uses less digits than its factorization.

102213120020022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047115438 (or 1047115435 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102213120020022 its reverse (220020021312201), we get a palindrome (322233141332223).

The spelling of 102213120020022 in words is "one hundred two trillion, two hundred thirteen billion, one hundred twenty million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 29 33 34 51 58 66 87 99 102 153 174 187 198 261 306 319 374 493 522 561 638 957 986 1122 1479 1683 1914 2871 2958 3366 4437 5423 5742 8874 10846 16269 32538 48807 97614 1047115373 2094230746 3141346119 6282692238 9424038357 11518269103 17800961341 18848076714 23036538206 30366345817 34554807309 35601922682 53402884023 60732691634 69109614618 91099037451 103664421927 106805768046 160208652069 182198074902 195810574751 207328843854 273297112353 320417304138 334029803987 391621149502 516227878889 546594224706 587431724253 668059607974 1002089411961 1032455757778 1174863448506 1548683636667 1762295172759 2004178823922 3006268235883 3097367273334 3524590345518 4646050910001 5678506667779 6012536471766 9292101820002 11357013335558 17035520003337 34071040006674 51106560010011 102213120020022