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210122100212022 = 2323713920627110039
BaseRepresentation
bin101111110001101011011101…
…001001001000000100110110
31000112222110212102221202011200
4233301223131021020010312
5210020120030123241042
62022520432113513330
762154551344443465
oct5761533511100466
91015873772852150
10210122100212022
1160a513117748a9
121b6970a2272846
139032576764c6b
1439c5d6cd9c9dc
151945b58542c4c
hexbf1add248136

210122100212022 has 96 divisors (see below), whose sum is σ = 470959914297600. Its totient is φ = 67653542032704.

The previous prime is 210122100212009. The next prime is 210122100212029. The reversal of 210122100212022 is 220212001221012.

It is a happy number.

210122100212022 is a `hidden beast` number, since 210 + 1 + 221 + 0 + 0 + 212 + 0 + 22 = 666.

210122100212022 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2101221002120222 (a number of 29 digits) contains 22 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 = 210122100211986 and 210122100212004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210122100212029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909468879 + ... + 1909578917.

It is an arithmetic number, because the mean of its divisors is an integer number (4905832440600).

Almost surely, 2210122100212022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210122100212022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235479957148800).

210122100212022 is an abundant number, since it is smaller than the sum of its proper divisors (260837814085578).

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

210122100212022 is a wasteful number, since it uses less digits than its factorization.

210122100212022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130850 (or 130847 counting only the distinct ones).

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

Adding to 210122100212022 its reverse (220212001221012), we get a palindrome (430334101433034).

The spelling of 210122100212022 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred million, two hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 139 222 278 333 417 666 834 1251 2502 5143 10286 15429 20627 30858 41254 46287 61881 92574 110039 123762 185643 220078 330117 371286 660234 763199 990351 1526398 1980702 2289597 2867153 4071443 4579194 5734306 6868791 8142886 8601459 12214329 13737582 15295421 17202918 24428658 25804377 30590842 36642987 45886263 51608754 73285974 91772526 106084661 137658789 212169322 275317578 318253983 565930577 636507966 954761949 1131861154 1697791731 1909523898 2269774453 3395583462 4539548906 5093375193 6809323359 10186750386 13618646718 20427970077 40855940154 83981654761 167963309522 251944964283 315498648967 503889928566 630997297934 755834892849 946495946901 1511669785698 1892991893802 2839487840703 5678975681406 11673450011779 23346900023558 35020350035337 70040700070674 105061050106011 210122100212022