Search a number
-
+
2142122212412 = 2271323325257301
BaseRepresentation
bin11111001011000000011…
…011101111110000111100
321120210012011212021211222
4133023000123233300330
5240044031241244122
64320024413132512
7310522533243410
oct37130033576074
97523164767758
102142122212412
11756518164586
122a71a848a138
131270029c0650
1475971caad40
153aac51a2b42
hex1f2c06efc3c

2142122212412 has 48 divisors (see below), whose sum is σ = 4633603595712. Its totient is φ = 843795878400.

The previous prime is 2142122212387. The next prime is 2142122212457.

2142122212412 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×21421222124124 (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12543839 + ... + 12713462.

It is an arithmetic number, because the mean of its divisors is an integer number (96533408244).

Almost surely, 22142122212412 is an apocalyptic number.

It is an amenable number.

2142122212412 is an abundant number, since it is smaller than the sum of its proper divisors (2491481383300).

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

2142122212412 is a wasteful number, since it uses less digits than its factorization.

2142122212412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25257558 (or 25257556 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The spelling of 2142122212412 in words is "two trillion, one hundred forty-two billion, one hundred twenty-two million, two hundred twelve thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 233 364 466 932 1631 3029 3262 6058 6524 12116 21203 42406 84812 25257301 50514602 101029204 176801107 328344913 353602214 656689826 707204428 1313379652 2298414391 4596828782 5884951133 9193657564 11769902266 23539804532 41194657931 76504364729 82389315862 153008729458 164778631724 306017458916 535530553103 1071061106206 2142122212412