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10221211221102 = 23272313397263267
BaseRepresentation
bin1001010010111100111110…
…1010011111110001101110
31100012010201210011121120100
42110233033222133301232
52314431020033033402
633423320513131530
72103313066610130
oct224571752376156
940163653147510
1010221211221102
1132908782a4612
121190b32b59ba6
13591b18a750ab
142749d0307050
1512ad2563871c
hex94bcfa9fc6e

10221211221102 has 96 divisors (see below), whose sum is σ = 26412157804032. Its totient is φ = 2793155378112.

The previous prime is 10221211221017. The next prime is 10221211221119. The reversal of 10221211221102 is 20112211212201.

10221211221102 is a `hidden beast` number, since 1 + 0 + 221 + 211 + 221 + 10 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38692873 + ... + 38956139.

It is an arithmetic number, because the mean of its divisors is an integer number (275126643792).

Almost surely, 210221211221102 is an apocalyptic number.

10221211221102 is an abundant number, since it is smaller than the sum of its proper divisors (16190946582930).

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

10221211221102 is a wasteful number, since it uses less digits than its factorization.

10221211221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276702 (or 276699 counting only the distinct ones).

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

Adding to 10221211221102 its reverse (20112211212201), we get a palindrome (30333422433303).

The spelling of 10221211221102 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 13397 26794 40191 80382 93779 120573 187558 241146 263267 281337 308131 526534 562674 616262 789801 844011 924393 1579602 1688022 1842869 1848786 2156917 2369403 2773179 3685738 4313834 4738806 5528607 5546358 6055141 6470751 11057214 12110282 12941502 16585821 18165423 19412253 33171642 36330846 38824506 42385987 54496269 84771974 108992538 127157961 254315922 381473883 762947766 3526987999 7053975998 10580963997 21161927994 24688915993 31742891991 49377831986 63485783982 74066747979 81120723977 148133495958 162241447954 222200243937 243362171931 444400487874 486724343862 567845067839 730086515793 1135690135678 1460173031586 1703535203517 3407070407034 5110605610551 10221211221102