Search a number
-
+
10021422120 = 2335292879719
BaseRepresentation
bin10010101010101001…
…01100010000101000
3221212102001222202020
421111110230100220
5131010441001440
64334225504440
7503224453053
oct112524542050
927772058666
1010021422120
114282916846
121b381a2120
13c3927ac98
146b0d3ba9a
153d9be03d0
hex25552c428

10021422120 has 64 divisors (see below), whose sum is σ = 31100976000. Its totient is φ = 2580227328.

The previous prime is 10021422067. The next prime is 10021422121. The reversal of 10021422120 is 2122412001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10021422120.

It is not an unprimeable number, because it can be changed into a prime (10021422121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436380 + ... + 1443339.

It is an arithmetic number, because the mean of its divisors is an integer number (485952750).

Almost surely, 210021422120 is an apocalyptic number.

10021422120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021422120 is an abundant number, since it is smaller than the sum of its proper divisors (21079553880).

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

10021422120 is a wasteful number, since it uses less digits than its factorization.

10021422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879762 (or 2879758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10021422120 its reverse (2122412001), we get a palindrome (12143834121).

The spelling of 10021422120 in words is "ten billion, twenty-one million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 2879719 5759438 8639157 11518876 14398595 17278314 23037752 28797190 34556628 43195785 57594380 69113256 83511851 86391570 115188760 167023702 172783140 250535553 334047404 345566280 417559255 501071106 668094808 835118510 1002142212 1252677765 1670237020 2004284424 2505355530 3340474040 5010711060 10021422120