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111021212012022 = 234132314511579619
BaseRepresentation
bin11001001111100100100011…
…111001111000110111110110
3112120002112011011010001210000
4121033210203321320313312
5104022432420233341042
61032042235105212130
732246006062430334
oct3117444371706766
9476075134101700
10111021212012022
1132413916955734
12105507a3331046
1349c43420836b0
141d5b653608b54
15cc7db330474c
hex64f923e78df6

111021212012022 has 160 divisors (see below), whose sum is σ = 279746809816320. Its totient is φ = 32652599601600.

The previous prime is 111021212012021. The next prime is 111021212012027. The reversal of 111021212012022 is 220210212120111.

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 = 111021212011986 and 111021212012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111021212012021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69493729 + ... + 71073347.

It is an arithmetic number, because the mean of its divisors is an integer number (1748417561352).

Almost surely, 2111021212012022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111021212012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139873404908160).

111021212012022 is an abundant number, since it is smaller than the sum of its proper divisors (168725597804298).

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

111021212012022 is a wasteful number, since it uses less digits than its factorization.

111021212012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581120 (or 1581111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111021212012022 its reverse (220210212120111), we get a palindrome (331231424132133).

The spelling of 111021212012022 in words is "one hundred eleven trillion, twenty-one billion, two hundred twelve million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 81 117 138 162 207 234 299 351 414 598 621 702 897 1053 1242 1451 1794 1863 2106 2691 2902 3726 4353 5382 8073 8706 13059 16146 18863 24219 26118 33373 37726 39177 48438 56589 66746 78354 100119 113178 117531 169767 200238 235062 300357 339534 433849 509301 600714 867698 901071 1018602 1301547 1527903 1579619 1802142 2603094 2703213 3055806 3159238 3904641 4738857 5406426 7809282 9477714 11713923 14216571 20535047 23427846 28433142 35141769 36331237 41070094 42649713 61605141 70283538 72662474 85299426 108993711 123210282 127949139 184815423 217987422 255898278 326981133 369630846 472306081 554446269 653962266 944612162 980943399 1108892538 1416918243 1663338807 1961886798 2292027169 2833836486 2942830197 3326677614 4250754729 4584054338 5885660394 6876081507 8501509458 12752264187 13752163014 20628244521 25504528374 29796353197 38256792561 41256489042 52716624887 59592706394 61884733563 76513585122 89389059591 105433249774 123769467126 158149874661 178778119182 185654200689 268167178773 316299749322 371308401378 474449623983 536334357546 685316123531 804501536319 948899247966 1370632247062 1423348871949 1609003072638 2055948370593 2413504608957 2846697743898 4111896741186 4270046615847 4827009217914 6167845111779 8540093231694 12335690223558 18503535335337 37007070670674 55510606006011 111021212012022