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2112113114132 = 227241113262109
BaseRepresentation
bin11110101111000011110…
…000000111110000010100
321110220201210110010222112
4132233003300013300110
5234101101424123012
64254142534050152
7305411063152100
oct36570360076024
97426653403875
102112113114132
1174481887690a
122a14124a9958
1312422c791268
1474326574900
1539e1a87d122
hex1ebc3c07c14

2112113114132 has 36 divisors (see below), whose sum is σ = 4299779825460. Its totient is φ = 905165864064.

The previous prime is 2112113114129. The next prime is 2112113114141. The reversal of 2112113114132 is 2314113112112.

It can be written as a sum of positive squares in 2 ways, for example, as 1345238104336 + 766875009796 = 1159844^2 + 875714^2 .

It is a super-3 number, since 3×21121131141323 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2112113114098 and 2112113114107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7927094 + ... + 8189202.

It is an arithmetic number, because the mean of its divisors is an integer number (119438328485).

Almost surely, 22112113114132 is an apocalyptic number.

It is an amenable number.

2112113114132 is an abundant number, since it is smaller than the sum of its proper divisors (2187666711328).

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

2112113114132 is a wasteful number, since it uses less digits than its factorization.

2112113114132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303240 (or 303231 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

Adding to 2112113114132 its reverse (2314113112112), we get a palindrome (4426226226244).

The spelling of 2112113114132 in words is "two trillion, one hundred twelve billion, one hundred thirteen million, one hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 41113 82226 164452 262109 287791 524218 575582 1048436 1151164 1834763 2014537 3669526 4029074 7339052 8058148 12843341 25686682 51373364 10776087317 21552174634 43104349268 75432611219 150865222438 301730444876 528028278533 1056056557066 2112113114132