Search a number
-
+
10112222320 = 2452331177283
BaseRepresentation
bin10010110101011110…
…00100010001110000
3222002201221010012121
421122233010101300
5131202212103240
64351232004024
7505406320504
oct113257042160
928081833177
1010112222320
11431a0a4332
121b62690614
13c52020205
146bd016304
153e2b7904a
hex25abc4470

10112222320 has 80 divisors (see below), whose sum is σ = 25324664832. Its totient is φ = 3744195840.

The previous prime is 10112222299. The next prime is 10112222333. The reversal of 10112222320 is 2322221101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10112222294 and 10112222303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31602 + ... + 145681.

Almost surely, 210112222320 is an apocalyptic number.

10112222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112222320 is an abundant number, since it is smaller than the sum of its proper divisors (15212442512).

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

10112222320 is a wasteful number, since it uses less digits than its factorization.

10112222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177350 (or 177344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10112222320 its reverse (2322221101), we get a palindrome (12434443421).

The spelling of 10112222320 in words is "ten billion, one hundred twelve million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 620 713 920 1240 1426 1840 2480 2852 3565 5704 7130 11408 14260 28520 57040 177283 354566 709132 886415 1418264 1772830 2836528 3545660 4077509 5495773 7091320 8155018 10991546 14182640 16310036 20387545 21983092 27478865 32620072 40775090 43966184 54957730 65240144 81550180 87932368 109915460 126402779 163100360 219830920 252805558 326200720 439661840 505611116 632013895 1011222232 1264027790 2022444464 2528055580 5056111160 10112222320