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2211122022102 = 23473122028973
BaseRepresentation
bin100000001011010001001…
…001001000011011010110
321211101021220011210120000
4200023101021020123112
5242211334214201402
64411435254352130
7315514444040340
oct40132111103326
97741256153500
102211122022102
11782805812894
122b864435b646
1313067ab622c6
1479039b26290
153c7b2a95c1c
hex202d12486d6

2211122022102 has 120 divisors (see below), whose sum is σ = 5850895512528. Its totient is φ = 611369843040.

The previous prime is 2211122022089. The next prime is 2211122022107. The reversal of 2211122022102 is 2012202211122.

It is a happy number.

2211122022102 is a `hidden beast` number, since 221 + 1 + 1 + 220 + 221 + 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 (2211122022107) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 75288 + ... + 2104260.

Almost surely, 22211122022102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211122022102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2925447756264).

2211122022102 is an abundant number, since it is smaller than the sum of its proper divisors (3639773490426).

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

2211122022102 is a wasteful number, since it uses less digits than its factorization.

2211122022102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029056 (or 2029016 counting only the distinct ones).

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

Adding to 2211122022102 its reverse (2012202211122), we get a palindrome (4223324233224).

The spelling of 2211122022102 in words is "two trillion, two hundred eleven billion, one hundred twenty-two million, twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 279 378 434 558 567 651 837 961 1134 1302 1674 1922 1953 2511 2883 3906 5022 5766 5859 6727 8649 11718 13454 17298 17577 20181 25947 35154 40362 51894 60543 77841 121086 155682 181629 363258 544887 1089774 2028973 4057946 6086919 12173838 14202811 18260757 28405622 36521514 42608433 54782271 62898163 85216866 109564542 125796326 127825299 164346813 188694489 255650598 328693626 377388978 383475897 440287141 566083467 766951794 880574282 1132166934 1150427691 1320861423 1698250401 1949843053 2300855382 2641722846 3396500802 3899686106 3962584269 5094751203 5849529159 7925168538 10189502406 11699058318 11887752807 13648901371 17548587477 23775505614 27297802742 35097174954 35663258421 40946704113 52645762431 71326516842 81893408226 105291524862 122840112339 157937287293 245680224678 315874574586 368520337017 737040674034 1105561011051 2211122022102