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10212220211022 = 2332914950387011
BaseRepresentation
bin1001010010011011011111…
…0000100000111101001110
31100011021112011222222102000
42110212313300200331032
52314304111333223042
633415232412413130
72102544223360554
oct224466760407516
940137464888360
1010212220211022
113287a84093675
12118b243a771a6
1359101512199b
142743ba191bd4
1512a99b13574c
hex949b7c20f4e

10212220211022 has 128 divisors (see below), whose sum is σ = 23681185920000. Its totient is φ = 3258105459840.

The previous prime is 10212220210999. The next prime is 10212220211023. The reversal of 10212220211022 is 22011202221201.

It is a happy number.

10212220211022 is a `hidden beast` number, since 1 + 0 + 212 + 220 + 211 + 0 + 22 = 666.

10212220211022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10212220210986 and 10212220211004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212220211023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117323497 + ... + 117410507.

It is an arithmetic number, because the mean of its divisors is an integer number (185009265000).

Almost surely, 210212220211022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212220211022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11840592960000).

10212220211022 is an abundant number, since it is smaller than the sum of its proper divisors (13468965708978).

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

10212220211022 is a wasteful number, since it uses less digits than its factorization.

10212220211022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87703 (or 87697 counting only the distinct ones).

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

Adding to 10212220211022 its reverse (22011202221201), we get a palindrome (32223422432223).

The spelling of 10212220211022 in words is "ten trillion, two hundred twelve billion, two hundred twenty million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 149 174 261 298 447 503 522 783 894 1006 1341 1509 1566 2682 3018 4023 4321 4527 8046 8642 9054 12963 13581 14587 25926 27162 29174 38889 43761 74947 77778 87011 87522 116667 131283 149894 174022 224841 233334 261033 262566 393849 449682 522066 674523 783099 787698 1349046 1566198 2023569 2173463 2349297 2523319 4047138 4346926 4698594 5046638 6520389 7569957 12964639 13040778 15139914 19561167 22709871 25929278 38893917 39122334 43766533 45419742 58683501 68129613 77787834 87533066 116681751 117367002 131299599 136259226 233363502 262599198 350045253 375974531 393898797 700090506 751949062 787797594 1127923593 1181696391 1269229457 2255847186 2363392782 2538458914 3383770779 3807688371 6521213417 6767541558 7615376742 10151312337 11423065113 13042426834 19563640251 20302624674 22846130226 34269195339 39127280502 58690920753 68538390678 117381841506 176072762259 189115189093 352145524518 378230378186 567345567279 1134691134558 1702036701837 3404073403674 5106110105511 10212220211022