Search a number
-
+
10020214241020 = 2252394123148857
BaseRepresentation
bin1001000111010000001101…
…0011110111011011111100
31022110220220221220002111201
42101310003103313123330
52303132344321203040
633151120050225244
72052636151510504
oct221640323673374
938426827802451
1010020214241020
113213604792535
121159b99585224
13578b96035499
14268da3a62a04
151259ae8cca9a
hex91d034f76fc

10020214241020 has 48 divisors (see below), whose sum is σ = 21980674029888. Its totient is φ = 3829746736640.

The previous prime is 10020214240979. The next prime is 10020214241027. The reversal of 10020214241020 is 2014241202001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020214241027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11141569 + ... + 12007288.

It is an arithmetic number, because the mean of its divisors is an integer number (457930708956).

Almost surely, 210020214241020 is an apocalyptic number.

10020214241020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020214241020 is an abundant number, since it is smaller than the sum of its proper divisors (11960459788868).

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

10020214241020 is a wasteful number, since it uses less digits than its factorization.

10020214241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23149830 (or 23149828 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10020214241020 its reverse (2014241202001), we get a palindrome (12034455443021).

The spelling of 10020214241020 in words is "ten trillion, twenty billion, two hundred fourteen million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 941 1882 3764 4705 9410 18820 21643 43286 86572 108215 216430 432860 23148857 46297714 92595428 115744285 231488570 462977140 532423711 1064847422 2129694844 2662118555 5324237110 10648474220 21783074437 43566148874 87132297748 108915372185 217830744370 435661488740 501010712051 1002021424102 2004042848204 2505053560255 5010107120510 10020214241020