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10122201120 = 253521087919
BaseRepresentation
bin10010110110101010…
…01000100000100000
3222010102201002112210
421123111020200200
5131212240413440
64352225522120
7505560201303
oct113325104040
928112632483
1010122201120
11432479a579
121b65aa3340
13c54105225
146c0492b3a
153e399aa80
hex25b548820

10122201120 has 48 divisors (see below), whose sum is σ = 31884935040. Its totient is φ = 2699253504.

The previous prime is 10122201079. The next prime is 10122201121. The reversal of 10122201120 is 2110222101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×101222011203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10122201096 and 10122201105.

It is not an unprimeable number, because it can be changed into a prime (10122201121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10543480 + ... + 10544439.

It is an arithmetic number, because the mean of its divisors is an integer number (664269480).

Almost surely, 210122201120 is an apocalyptic number.

10122201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122201120 is an abundant number, since it is smaller than the sum of its proper divisors (21762733920).

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

10122201120 is a wasteful number, since it uses less digits than its factorization.

10122201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21087937 (or 21087929 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122201120 its reverse (2110222101), we get a palindrome (12232423221).

The spelling of 10122201120 in words is "ten billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 21087919 42175838 63263757 84351676 105439595 126527514 168703352 210879190 253055028 316318785 337406704 421758380 506110056 632637570 674813408 843516760 1012220112 1265275140 1687033520 2024440224 2530550280 3374067040 5061100560 10122201120