Search a number
-
+
10042403202 = 23213197217849
BaseRepresentation
bin10010101101001001…
…01110100110000010
3221220212112221101100
421112210232212002
5131031323400302
64340255315230
7503601006306
oct112644564602
927825487340
1010042403202
114293747187
121b4321bb16
13c40715b20
146b3a3dd06
153db986d1c
hex25692e982

10042403202 has 48 divisors (see below), whose sum is σ = 23551327800. Its totient is φ = 3074270976.

The previous prime is 10042403201. The next prime is 10042403227. The reversal of 10042403202 is 20230424001.

10042403202 is a `hidden beast` number, since 100 + 4 + 240 + 320 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8561615841 + 1480787361 = 92529^2 + 38481^2 .

It is a super-3 number, since 3×100424032023 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10042403201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62827 + ... + 155022.

Almost surely, 210042403202 is an apocalyptic number.

10042403202 is an abundant number, since it is smaller than the sum of its proper divisors (13508924598).

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

10042403202 is a wasteful number, since it uses less digits than its factorization.

10042403202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218067 (or 218064 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10042403202 its reverse (20230424001), we get a palindrome (30272827203).

The spelling of 10042403202 in words is "ten billion, forty-two million, four hundred three thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 197 234 394 591 1182 1773 2561 3546 5122 7683 15366 23049 46098 217849 435698 653547 1307094 1960641 2832037 3921282 5664074 8496111 16992222 25488333 42916253 50976666 85832506 128748759 257497518 386246277 557911289 772492554 1115822578 1673733867 3347467734 5021201601 10042403202