Search a number
-
+
213312010120 = 23511484800023
BaseRepresentation
bin1100011010101001100…
…0101111011110001000
3202101121002011212101021
43012222120233132020
511443330333310440
6241554424402224
721261033112066
oct3065230573610
9671532155337
10213312010120
1182513083460
1235411916374
1317166235441
14a478069036
155836ea884a
hex31aa62f788

213312010120 has 32 divisors (see below), whose sum is σ = 523584025920. Its totient is φ = 77568003520.

The previous prime is 213312010099. The next prime is 213312010181. The reversal of 213312010120 is 21010213312.

213312010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2133120101202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213312010094 and 213312010103.

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 7 ways as a sum of consecutive naturals, for example, 242399572 + ... + 242400451.

It is an arithmetic number, because the mean of its divisors is an integer number (16362000810).

Almost surely, 2213312010120 is an apocalyptic number.

213312010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213312010120 is an abundant number, since it is smaller than the sum of its proper divisors (310272015800).

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

213312010120 is a wasteful number, since it uses less digits than its factorization.

213312010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484800045 (or 484800041 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 213312010120 its reverse (21010213312), we get a palindrome (234322223432).

The spelling of 213312010120 in words is "two hundred thirteen billion, three hundred twelve million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 484800023 969600046 1939200092 2424000115 3878400184 4848000230 5332800253 9696000460 10665600506 19392000920 21331201012 26664001265 42662402024 53328002530 106656005060 213312010120