Search a number
-
+
10042324020 = 22325215325913
BaseRepresentation
bin10010101101001000…
…11011010000110100
3221220212101220202200
421112210123100310
5131031313332040
64340253504500
7503600226411
oct112644332064
927825356680
1010042324020
1142936a2743
121b431a2130
13c406b8a81
146b3a1d108
153db96d630
hex25691b434

10042324020 has 72 divisors (see below), whose sum is σ = 30477040776. Its totient is φ = 2676605952.

The previous prime is 10042324013. The next prime is 10042324069. The reversal of 10042324020 is 2042324001.

10042324020 is a `hidden beast` number, since 1 + 0 + 0 + 423 + 240 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 153214884 + 9889109136 = 12378^2 + 99444^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10042323984 and 10042324002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374584 + ... + 400496.

It is an arithmetic number, because the mean of its divisors is an integer number (423292233).

Almost surely, 210042324020 is an apocalyptic number.

10042324020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042324020 is an abundant number, since it is smaller than the sum of its proper divisors (20434716756).

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

10042324020 is a wasteful number, since it uses less digits than its factorization.

10042324020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28081 (or 28076 counting only the distinct ones).

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

Adding to 10042324020 its reverse (2042324001), we get a palindrome (12084648021).

The spelling of 10042324020 in words is "ten billion, forty-two million, three hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2153 4306 6459 8612 10765 12918 19377 21530 25836 25913 32295 38754 43060 51826 64590 77508 77739 96885 103652 129180 129565 155478 193770 233217 259130 310956 387540 388695 466434 518260 777390 932868 1166085 1554780 2332170 4664340 55790689 111581378 167372067 223162756 278953445 334744134 502116201 557906890 669488268 836860335 1004232402 1115813780 1673720670 2008464804 2510581005 3347441340 5021162010 10042324020