Search a number
-
+
2131204020 = 2235113229097
BaseRepresentation
bin111111100000111…
…1001011110110100
312111112020101022020
41333001321132310
513331042012040
6551251033140
7103545635541
oct17701713664
95445211266
102131204020
119a4011140
124b589b7b0
1327c6c4b8a
1416308dbc8
15c717ccd0
hex7f0797b4

2131204020 has 48 divisors (see below), whose sum is σ = 6509861568. Its totient is φ = 516655360.

The previous prime is 2131203979. The next prime is 2131204037. The reversal of 2131204020 is 204021312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1613889 + ... + 1615208.

It is an arithmetic number, because the mean of its divisors is an integer number (135622116).

Almost surely, 22131204020 is an apocalyptic number.

2131204020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131204020 is an abundant number, since it is smaller than the sum of its proper divisors (4378657548).

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

2131204020 is a wasteful number, since it uses less digits than its factorization.

2131204020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229120 (or 3229118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2131204020 is about 46164.9652875425. The cubic root of 2131204020 is about 1286.8907391024.

Adding to 2131204020 its reverse (204021312), we get a palindrome (2335225332).

The spelling of 2131204020 in words is "two billion, one hundred thirty-one million, two hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3229097 6458194 9687291 12916388 16145485 19374582 32290970 35520067 38749164 48436455 64581940 71040134 96872910 106560201 142080268 177600335 193745820 213120402 355200670 426240804 532801005 710401340 1065602010 2131204020