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211122020121102 = 2323110110735010167
BaseRepresentation
bin110000000000001110101101…
…000000110111101000001110
31000200112001211120200010120100
4300000032231000313220032
5210133010344122333402
62025004041143431530
762320030320440346
oct6000165500675016
91020461746603510
10211122020121102
11612a7389467252
121b818a414555a6
1390a594b26ac0c
143a1c508917d26
151961b7cc3871c
hexc003ad037a0e

211122020121102 has 96 divisors (see below), whose sum is σ = 481318669338624. Its totient is φ = 66799396728000.

The previous prime is 211122020121091. The next prime is 211122020121109. The reversal of 211122020121102 is 201121020221112.

211122020121102 is a `hidden beast` number, since 21 + 11 + 220 + 201 + 211 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122020121109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11474778 + ... + 23535389.

It is an arithmetic number, because the mean of its divisors is an integer number (5013736138944).

Almost surely, 2211122020121102 is an apocalyptic number.

211122020121102 is an abundant number, since it is smaller than the sum of its proper divisors (270196649217522).

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

211122020121102 is a wasteful number, since it uses less digits than its factorization.

211122020121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35010414 (or 35010411 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122020121102 its reverse (201121020221112), we get a palindrome (412243040342214).

The spelling of 211122020121102 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 31 62 93 101 107 186 202 214 279 303 321 558 606 642 909 963 1818 1926 3131 3317 6262 6634 9393 9951 10807 18786 19902 21614 28179 29853 32421 56358 59706 64842 97263 194526 335017 670034 1005051 2010102 3015153 6030306 35010167 70020334 105030501 210061002 315091503 630183006 1085315177 2170630354 3255945531 3536026867 3746087869 6511891062 7072053734 7492175738 9767836593 10608080601 11238263607 19535673186 21216161202 22476527214 31824241803 33714790821 63648483606 67429581642 109616832877 116128723939 219233665754 232257447878 328850498631 348386171817 378354874769 657700997262 696772343634 756709749538 986551495893 1045158515451 1135064624307 1973102991786 2090317030902 2270129248614 3405193872921 6810387745842 11729001117839 23458002235678 35187003353517 70374006707034 105561010060551 211122020121102