Search a number
-
+
2101232321012 = 2211217614186489
BaseRepresentation
bin11110100100111011001…
…101001100000111110100
321102212122111022120211202
4132210323031030013310
5233411310433233022
64245143124552032
7304544332015136
oct36447315140764
97385574276752
102101232321012
11740144958a00
1229b296552618
131231b7473836
14739b3455056
15399d04d9592
hex1e93b34c1f4

2101232321012 has 72 divisors (see below), whose sum is σ = 4349746364040. Its totient is φ = 884186265600.

The previous prime is 2101232321003. The next prime is 2101232321017.

2101232321012 is nontrivially palindromic in base 10.

2101232321012 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 365679021796 + 1735553299216 = 604714^2 + 1317404^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101232321017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1591337 + ... + 2595152.

It is an arithmetic number, because the mean of its divisors is an integer number (60413143945).

Almost surely, 22101232321012 is an apocalyptic number.

2101232321012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2101232321012 is an abundant number, since it is smaller than the sum of its proper divisors (2248514043028).

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

2101232321012 is a wasteful number, since it uses less digits than its factorization.

2101232321012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186593 (or 4186580 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 2101232321012 in words is "two trillion, one hundred one billion, two hundred thirty-two million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 61 68 121 122 187 242 244 374 484 671 748 1037 1342 2057 2074 2684 4114 4148 7381 8228 11407 14762 22814 29524 45628 125477 250954 501908 4186489 8372978 16745956 46051379 71170313 92102758 142340626 184205516 255375829 284681252 506565169 510751658 782873443 1013130338 1021503316 1565746886 2026260676 2809134119 3131493772 4341389093 5618268238 8611607873 8682778186 11236536476 17223215746 17365556372 30900475309 34446431492 47755280023 61800950618 95510560046 123601901236 191021120092 525308080253 1050616160506 2101232321012