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22001002102112 = 2511153140824851
BaseRepresentation
bin1010000000010100000011…
…11010100011110101100000
32212220021102122221102021212
411000022001322203311200
510340431023014231422
6114443042033405252
74430343225164315
oct500120172436540
985807378842255
1022001002102112
117012633137a90
122573b37109828
13c378bb340027
14560bd5c44d0c
1528246ad0c9e2
hex140281ea3d60

22001002102112 has 48 divisors (see below), whose sum is σ = 47283016987584. Its totient is φ = 9993923280000.

The previous prime is 22001002102073. The next prime is 22001002102127. The reversal of 22001002102112 is 21120120010022.

22001002102112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19873514 + ... + 20951337.

It is an arithmetic number, because the mean of its divisors is an integer number (985062853908).

Almost surely, 222001002102112 is an apocalyptic number.

22001002102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22001002102112 is an abundant number, since it is smaller than the sum of its proper divisors (25282014885472).

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

22001002102112 is a wasteful number, since it uses less digits than its factorization.

22001002102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40826403 (or 40826395 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22001002102112 its reverse (21120120010022), we get a palindrome (43121122112134).

The spelling of 22001002102112 in words is "twenty-two trillion, one billion, two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1531 3062 6124 12248 16841 24496 33682 48992 67364 134728 269456 538912 40824851 81649702 163299404 326598808 449073361 653197616 898146722 1306395232 1796293444 3592586888 7185173776 14370347552 62502846881 125005693762 250011387524 500022775048 687531315691 1000045550096 1375062631382 2000091100192 2750125262764 5500250525528 11000501051056 22001002102112