Search a number
-
+
2142212120010 = 23452644706321
BaseRepresentation
bin11111001011000101110…
…010101101110111001010
321120210102110001001220000
4133023011302231313022
5240044222300320020
64320041344143430
7310525004402604
oct37130562556712
97523373031800
102142212120010
11756563992486
122a7212607b76
1312701850c501
147597dbd2174
153aacd012090
hex1f2c5caddca

2142212120010 has 40 divisors (see below), whose sum is σ = 5760170369316. Its totient is φ = 571256565120.

The previous prime is 2142212119981. The next prime is 2142212120029. The reversal of 2142212120010 is 100212122412.

2142212120010 is a `hidden beast` number, since 21 + 422 + 1 + 21 + 200 + 1 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2008056209481 + 134155910529 = 1417059^2 + 366273^2 .

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 19 ways as a sum of consecutive naturals, for example, 1322352351 + ... + 1322353970.

Almost surely, 22142212120010 is an apocalyptic number.

2142212120010 is an abundant number, since it is smaller than the sum of its proper divisors (3617958249306).

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

2142212120010 is a wasteful number, since it uses less digits than its factorization.

2142212120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644706340 (or 2644706331 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2142212120010 its reverse (100212122412), we get a palindrome (2242424242422).

The spelling of 2142212120010 in words is "two trillion, one hundred forty-two billion, two hundred twelve million, one hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2644706321 5289412642 7934118963 13223531605 15868237926 23802356889 26447063210 39670594815 47604713778 71407070667 79341189630 119011784445 142814141334 214221212001 238023568890 357035353335 428442424002 714070706670 1071106060005 2142212120010