Search a number
-
+
2312211002130 = 2325171511249021
BaseRepresentation
bin100001101001011010100…
…000111111001100010010
322012001012221221001120100
4201221122200333030102
5300340402004032010
64530114242153230
7326023513143621
oct41513240771422
98161187831510
102312211002130
1181166a916787
12314156952816
1313a06b164813
147dca96576b8
154022c6db2c0
hex21a5a83f312

2312211002130 has 48 divisors (see below), whose sum is σ = 6365380880664. Its totient is φ = 580319623680.

The previous prime is 2312211002089. The next prime is 2312211002137. The reversal of 2312211002130 is 312001122132.

2312211002130 is a `hidden beast` number, since 231 + 221 + 1 + 0 + 0 + 213 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1715348142369 + 596862859761 = 1309713^2 + 772569^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2312211002137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755622981 + ... + 755626040.

Almost surely, 22312211002130 is an apocalyptic number.

2312211002130 is an abundant number, since it is smaller than the sum of its proper divisors (4053169878534).

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

2312211002130 is a wasteful number, since it uses less digits than its factorization.

2312211002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511249051 (or 1511249048 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2312211002130 its reverse (312001122132), we get a palindrome (2624212124262).

The spelling of 2312211002130 in words is "two trillion, three hundred twelve billion, two hundred eleven million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 1511249021 3022498042 4533747063 7556245105 9067494126 13601241189 15112490210 22668735315 25691233357 27202482378 45337470630 51382466714 68006205945 77073700071 128456166785 136012411890 154147400142 231221100213 256912333570 385368500355 462442200426 770737000710 1156105501065 2312211002130