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211010120001122 = 2131710118126114461
BaseRepresentation
bin101111111110100110011111…
…001111110010011001100010
31000200010101000001212001121012
4233332212133033302121202
5210124142211210013442
62024440413315500522
762305656324220451
oct5776463717623142
91020111001761535
10211010120001122
1161263986799952
121b7bb2122b7742
1390982271c7980
143a16d31238b98
15195dccde0c582
hexbfe99f3f2662

211010120001122 has 64 divisors (see below), whose sum is σ = 366500387661408. Its totient is φ = 90251573760000.

The previous prime is 211010120001061. The next prime is 211010120001157. The reversal of 211010120001122 is 221100021010112.

It can be written as a sum of positive squares in 16 ways, for example, as 25911673303201 + 185098446697921 = 5090351^2 + 13605089^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211010120001097 and 211010120001106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4977029 + ... + 21137432.

Almost surely, 2211010120001122 is an apocalyptic number.

211010120001122 is a deficient number, since it is larger than the sum of its proper divisors (155490267660286).

211010120001122 is a wasteful number, since it uses less digits than its factorization.

211010120001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26114775.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211010120001122 its reverse (221100021010112), we get a palindrome (432110141011234).

The spelling of 211010120001122 in words is "two hundred eleven trillion, ten billion, one hundred twenty million, one thousand, one hundred twenty-two".

Divisors: 1 2 13 17 26 34 101 181 202 221 362 442 1313 1717 2353 2626 3077 3434 4706 6154 18281 22321 36562 40001 44642 80002 237653 310777 475306 621554 4040101 8080202 26114461 52228922 339487993 443945837 678975986 887891674 2637560561 4726717441 5275121122 5771295881 9453434882 11542591762 34288287293 44838529537 61447326733 68576574586 80354196497 89677059074 122894653466 160708392994 477398461541 582900883981 954796923082 1044604554461 1165801767962 2089209108922 6206180000033 8115773846197 12412360000066 16231547692394 105505060000561 211010120001122