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1021222220022 = 233435316350909
BaseRepresentation
bin11101101110001011001…
…01100111000011110110
310121121221201202220102000
432313011211213003312
5113212430342020042
62101050520200130
7133531560434424
oct16670545470366
93547851686360
101021222220022
11364109357a04
12145b05309046
13753bac47694
14375daba4114
151b86e95b74c
hexedc59670f6

1021222220022 has 128 divisors (see below), whose sum is σ = 2380535308800. Its totient is φ = 324209837952.

The previous prime is 1021222220021. The next prime is 1021222220023. The reversal of 1021222220022 is 2200222221201.

1021222220022 is a `hidden beast` number, since 10 + 212 + 222 + 200 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (1021222220021) and next prime (1021222220023).

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 = 1021222219977 and 1021222220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021222220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20034304 + ... + 20085212.

It is an arithmetic number, because the mean of its divisors is an integer number (18597932100).

Almost surely, 21021222220022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021222220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190267654400).

1021222220022 is an abundant number, since it is smaller than the sum of its proper divisors (1359313088778).

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

1021222220022 is a wasteful number, since it uses less digits than its factorization.

1021222220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51179 (or 51173 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1021222220022 its reverse (2200222221201), we get a palindrome (3221444441223).

The spelling of 1021222220022 in words is "one trillion, twenty-one billion, two hundred twenty-two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 43 53 54 86 106 129 159 163 258 318 326 387 477 489 774 954 978 1161 1431 1467 2279 2322 2862 2934 4401 4558 6837 7009 8639 8802 13674 14018 17278 20511 21027 25917 41022 42054 50909 51834 61533 63081 77751 101818 123066 126162 152727 155502 189243 233253 305454 371477 378486 458181 466506 742954 916362 1114431 1374543 2189087 2228862 2698177 2749086 3343293 4378174 5396354 6567261 6686586 8094531 8298167 10029879 13134522 16189062 16596334 19701783 20059758 24283593 24894501 39403566 48567186 49789002 59105349 72850779 74683503 116021611 118210698 145701558 149367006 224050509 232043222 348064833 356821181 439802851 448101018 696129666 713642362 879605702 1044194499 1070463543 1319408553 2088388998 2140927086 2638817106 3132583497 3211390629 3958225659 6265166994 6422781258 7916451318 9634171887 11874676977 18911522593 19268343774 23749353954 37823045186 56734567779 113469135558 170203703337 340407406674 510611110011 1021222220022