Search a number
-
+
10020021204132 = 22321811537756477
BaseRepresentation
bin1001000111001111011111…
…0011011111010010100100
31022110220102111122210200100
42101303313303133102210
52303132000412013012
633151044552544100
72052631315643652
oct221636763372244
938426374583610
1010020021204132
113213515826015
121159b449b2030
13578b65048684
14268d86173dd2
1512599c99b8dc
hex91cf7cdf4a4

10020021204132 has 36 divisors (see below), whose sum is σ = 25468322788636. Its totient is φ = 3321553988160.

The previous prime is 10020021204107. The next prime is 10020021204143. The reversal of 10020021204132 is 23140212002001.

It is a happy number.

10020021204132 is a `hidden beast` number, since 10 + 0 + 200 + 21 + 20 + 413 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 475777134756 + 9544244069376 = 689766^2 + 3089376^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 768871723 + ... + 768884754.

Almost surely, 210020021204132 is an apocalyptic number.

10020021204132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10020021204132 is an abundant number, since it is smaller than the sum of its proper divisors (15448301584504).

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

10020021204132 is a wasteful number, since it uses less digits than its factorization.

10020021204132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537756668 (or 1537756663 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10020021204132 its reverse (23140212002001), we get a palindrome (33160233206133).

The spelling of 10020021204132 in words is "ten trillion, twenty billion, twenty-one million, two hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 1537756477 3075512954 4613269431 6151025908 9226538862 13839808293 18453077724 27679616586 55359233172 278333922337 556667844674 835001767011 1113335689348 1670003534022 2505005301033 3340007068044 5010010602066 10020021204132