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1022122011222 = 23413310926347
BaseRepresentation
bin11101101111110110011…
…10000010101001010110
310121201021102220000220000
432313323032002221112
5113221301213324342
62101320101552130
7133563064513404
oct16677316025126
93551242800800
101022122011222
113645302573a4
12146116715646
137550249a000
14376844a8474
151b8c394644c
hexedfb382a56

1022122011222 has 160 divisors (see below), whose sum is σ = 2503940023200. Its totient is φ = 311601940416.

The previous prime is 1022122011221. The next prime is 1022122011257. The reversal of 1022122011222 is 2221102212201.

It is a happy number.

1022122011222 is a `hidden beast` number, since 1 + 0 + 221 + 220 + 1 + 1 + 222 = 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 = 1022122011195 and 1022122011204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022122011221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38781453 + ... + 38807799.

It is an arithmetic number, because the mean of its divisors is an integer number (15649625145).

Almost surely, 21022122011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022122011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251970011600).

1022122011222 is an abundant number, since it is smaller than the sum of its proper divisors (1481818011978).

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

1022122011222 is a wasteful number, since it uses less digits than its factorization.

1022122011222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26509 (or 26474 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1022122011222 its reverse (2221102212201), we get a palindrome (3243224223423).

The spelling of 1022122011222 in words is "one trillion, twenty-two billion, one hundred twenty-two million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 109 117 162 169 218 234 327 338 351 507 654 702 981 1014 1053 1417 1521 1962 2106 2197 2834 2943 3042 4251 4394 4563 5886 6591 8502 8829 9126 12753 13182 13689 17658 18421 19773 25506 26347 27378 36842 38259 39546 52694 55263 59319 76518 79041 110526 114777 118638 158082 165789 177957 229554 237123 239473 331578 342511 355914 474246 478946 497367 685022 711369 718419 994734 1027533 1422738 1436838 1492101 2055066 2134107 2155257 2871823 2984202 3082599 4268214 4310514 4452643 5743646 6165198 6465771 8615469 8905286 9247797 12931542 13357929 17230938 18495594 19397313 25846407 26715858 27743391 37333699 38794626 40073787 51692814 55486782 57884359 74667398 77539221 80147574 112001097 115768718 120221361 155078442 173653077 224002194 232617663 240442722 336003291 347306154 360664083 465235326 485338087 520959231 672006582 721328166 970676174 1008009873 1041918462 1456014261 1562877693 2016019746 2912028522 3024029619 3125755386 4368042783 4688633079 6048059238 6309395131 8736085566 9377266158 12618790262 13104128349 18928185393 26208256698 37856370786 39312385047 56784556179 78624770094 113569112358 170353668537 340707337074 511061005611 1022122011222