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2021222200122 = 2334119912493673
BaseRepresentation
bin11101011010011010001…
…110110011001100111010
321011020010110011022121000
4131122122032303030322
5231103430340400442
64144311530225430
7266012525141436
oct35323216631472
97136113138530
102021222200122
1170a217269954
12287887285276
131187a6207138
146db832039c6
153789b1bbd4c
hex1d69a3b333a

2021222200122 has 128 divisors (see below), whose sum is σ = 4629240000000. Its totient is φ = 653303439360.

The previous prime is 2021222200121. The next prime is 2021222200171. The reversal of 2021222200122 is 2210022221202.

2021222200122 is a `hidden beast` number, since 202 + 122 + 220 + 0 + 122 = 666.

It is a super-3 number, since 3×20212222001223 (a number of 38 digits) contains 333 as substring.

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 = 2021222200095 and 2021222200104.

It is not an unprimeable number, because it can be changed into a prime (2021222200121) 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 63 ways as a sum of consecutive naturals, for example, 550290078 + ... + 550293750.

It is an arithmetic number, because the mean of its divisors is an integer number (36165937500).

Almost surely, 22021222200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021222200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314620000000).

2021222200122 is an abundant number, since it is smaller than the sum of its proper divisors (2608017799878).

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

2021222200122 is a wasteful number, since it uses less digits than its factorization.

2021222200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5167 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2021222200122 its reverse (2210022221202), we get a palindrome (4231244421324).

The spelling of 2021222200122 in words is "two trillion, twenty-one billion, two hundred twenty-two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 199 246 369 398 597 738 1107 1194 1249 1791 2214 2498 3582 3673 3747 5373 7346 7494 8159 10746 11019 11241 16318 22038 22482 24477 33057 33723 48954 51209 66114 67446 73431 99171 102418 146862 150593 153627 198342 220293 248551 301186 307254 440586 451779 460881 497102 730927 745653 903558 921762 1355337 1382643 1461854 1491306 2192781 2236959 2710674 2765286 4066011 4385562 4473918 4587577 6578343 6710877 8132022 9175154 10190591 13156686 13421754 13762731 19735029 20381182 27525462 29968007 30571773 39470058 41288193 59936014 61143546 82576386 89904021 91715319 123864579 179808042 183430638 188090657 247729158 269712063 275145957 376181314 539424126 550291914 564271971 809136189 912927823 1128543942 1618272378 1692815913 1825855646 2738783469 3385631826 5078447739 5477566938 8216350407 10156895478 16432700814 24649051221 37430040743 49298102442 74860081486 112290122229 224580244458 336870366687 673740733374 1010611100061 2021222200122