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212122100021022 = 2321923144718636461
BaseRepresentation
bin110000001110110010000110…
…011010111011011100011110
31000211001200012212102220010200
4300032302012122323130132
5210300402030101133042
62031051314130444330
762452213245354642
oct6016620632733436
91024050185386120
10212122100021022
11616525284a5134
121b95a8261336a6
139149049c603c9
143a54a9b7dcc22
15197cbb14d3c4c
hexc0ec866bb71e

212122100021022 has 96 divisors (see below), whose sum is σ = 505170375390720. Its totient is φ = 64029211076160.

The previous prime is 212122100020997. The next prime is 212122100021047. The reversal of 212122100021022 is 220120001221212.

It is a happy number.

212122100021022 is a `hidden beast` number, since 212 + 1 + 221 + 0 + 0 + 0 + 210 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (212122100020997) and next prime (212122100021047).

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 = 212122100020986 and 212122100021004.

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, 2063872 + ... + 20700332.

It is an arithmetic number, because the mean of its divisors is an integer number (5262191410320).

Almost surely, 2212122100021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212122100021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252585187695360).

212122100021022 is an abundant number, since it is smaller than the sum of its proper divisors (293048275369698).

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

212122100021022 is a wasteful number, since it uses less digits than its factorization.

212122100021022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18637958 (or 18637955 counting only the distinct ones).

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

Adding to 212122100021022 its reverse (220120001221212), we get a palindrome (432242101242234).

The spelling of 212122100021022 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 69 114 138 171 207 342 414 437 874 1311 1447 2622 2894 3933 4341 7866 8682 13023 26046 27493 33281 54986 66562 82479 99843 164958 199686 247437 299529 494874 599058 632339 1264678 1897017 3794034 5691051 11382102 18636461 37272922 55909383 111818766 167728149 335456298 354092759 428638603 708185518 857277206 1062278277 1285915809 2124556554 2571831618 3186834831 3857747427 6373669662 7715494854 8144133457 16288266914 24432400371 26966959067 48864800742 53933918134 73297201113 80900877201 146594402226 161801754402 242702631603 485405263206 512372222273 620240058541 1024744444546 1240480117082 1537116666819 1860720175623 3074233333638 3721440351246 4611350000457 5582160526869 9222700000914 11164321053738 11784561112279 23569122224558 35353683336837 70707366673674 106061050010511 212122100021022