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222102120100021 = 710319119924133629
BaseRepresentation
bin110010100000000000101101…
…111110001111000010110101
31002010101202101121220222220221
4302200000231332033002311
5213102410120221200041
62104212145544454341
764532230404353560
oct6240005576170265
91063352347828827
10222102120100021
116484aa86673847
1220ab0a6677a3b1
1396c11a8921365
143cbbb2b1914d7
151aa25bc3252d1
hexca002df8f0b5

222102120100021 has 64 divisors (see below), whose sum is σ = 260014030848000. Its totient is φ = 185815737676800.

The previous prime is 222102120100009. The next prime is 222102120100031. The reversal of 222102120100021 is 120001021201222.

It is a happy number.

It is not a de Polignac number, because 222102120100021 - 243 = 213306027077813 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222102120099968 and 222102120100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222102120100031) 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, 6604465035 + ... + 6604498663.

It is an arithmetic number, because the mean of its divisors is an integer number (4062719232000).

Almost surely, 2222102120100021 is an apocalyptic number.

It is an amenable number.

222102120100021 is a deficient number, since it is larger than the sum of its proper divisors (37911910747979).

222102120100021 is a wasteful number, since it uses less digits than its factorization.

222102120100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34370.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222102120100021 its reverse (120001021201222), we get a palindrome (342103141301243).

The spelling of 222102120100021 in words is "two hundred twenty-two trillion, one hundred two billion, one hundred twenty million, one hundred thousand, twenty-one".

Divisors: 1 7 103 191 199 241 721 1337 1393 1687 19673 20497 24823 33629 38009 46031 47959 137711 143479 173761 235403 266063 322217 335713 3463787 3914927 4741193 4939777 6423139 6692171 8104589 9160169 24246509 27404489 33188351 34578439 44961973 46845197 56732123 64121183 661583317 689293613 834772667 943497407 1278204661 1547976499 1612813211 4631083219 4825055291 5843408669 6604481849 8947432627 10835835493 11289692477 131655080083 159441579397 166119760733 308047323301 921585560581 1116091055779 1162838325131 2156331263107 31728874300003 222102120100021