Search a number
-
+
101213311103034 = 231317354983136417
BaseRepresentation
bin10111000000110110001111…
…011101000111000000111010
3111021100220020200012201212020
4113000312033131013000322
5101231234330120244114
6555132430410255310
730214264126304664
oct2700661735070072
9437326220181766
10101213311103034
112a282362545a69
12b427999127536
1344624b33ba080
141adca71129534
15ba7bccdb0aa9
hex5c0d8f74703a

101213311103034 has 64 divisors (see below), whose sum is σ = 219263599344384. Its totient is φ = 30961752385536.

The previous prime is 101213311102987. The next prime is 101213311103063. The reversal of 101213311103034 is 430301113312101.

It is a junction number, because it is equal to n+sod(n) for n = 101213311102995 and 101213311103013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741872394 + ... + 742008810.

It is an arithmetic number, because the mean of its divisors is an integer number (3425993739756).

Almost surely, 2101213311103034 is an apocalyptic number.

101213311103034 is an abundant number, since it is smaller than the sum of its proper divisors (118050288241350).

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

101213311103034 is a wasteful number, since it uses less digits than its factorization.

101213311103034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191591.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101213311103034 its reverse (430301113312101), we get a palindrome (531514424415135).

The spelling of 101213311103034 in words is "one hundred one trillion, two hundred thirteen billion, three hundred eleven million, one hundred three thousand, thirty-four".

Divisors: 1 2 3 6 13 26 39 78 173 346 519 1038 2249 4498 6747 13494 54983 109966 136417 164949 272834 329898 409251 714779 818502 1429558 1773421 2144337 3546842 4288674 5320263 9512059 10640526 19024118 23600141 28536177 47200282 57072354 70800423 123656767 141600846 247313534 306801833 370970301 613603666 741940602 920405499 1840810998 7500615911 15001231822 22501847733 45003695466 97508006843 195016013686 292524020529 585048041058 1297606552603 2595213105206 3892819657809 7785639315618 16868885183839 33737770367678 50606655551517 101213311103034