Search a number
-
+
213313102030 = 25719533026147
BaseRepresentation
bin1100011010101001110…
…0111010000011001110
3202101121011020100012101
43012222130322003032
511443331123231110
6241554504025314
721261045310360
oct3065234720316
9671534210171
10213313102030
1182513759866
123541216223a
1317166528442
14a478270d30
15583712213a
hex31aa73a0ce

213313102030 has 64 divisors (see below), whose sum is σ = 470626536960. Its totient is φ = 67979343744.

The previous prime is 213313101997. The next prime is 213313102069. The reversal of 213313102030 is 30201313312.

213313102030 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 2×2133131020302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 213313101989 and 213313102007.

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 31 ways as a sum of consecutive naturals, for example, 1442584 + ... + 1583563.

It is an arithmetic number, because the mean of its divisors is an integer number (7353539640).

Almost surely, 2213313102030 is an apocalyptic number.

213313102030 is an abundant number, since it is smaller than the sum of its proper divisors (257313434930).

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

213313102030 is a wasteful number, since it uses less digits than its factorization.

213313102030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026233.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 213313102030 its reverse (30201313312), we get a palindrome (243514415342).

The spelling of 213313102030 in words is "two hundred thirteen billion, three hundred thirteen million, one hundred two thousand, thirty".

Divisors: 1 2 5 7 10 14 19 35 38 53 70 95 106 133 190 265 266 371 530 665 742 1007 1330 1855 2014 3710 5035 7049 10070 14098 35245 70490 3026147 6052294 15130735 21183029 30261470 42366058 57496793 105915145 114993586 160385791 211830290 287483965 320771582 402477551 574967930 801928955 804955102 1122700537 1603857910 2012387755 2245401074 3047330029 4024775510 5613502685 6094660058 11227005370 15236650145 21331310203 30473300290 42662620406 106656551015 213313102030