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213101121233 = 711132936471123
BaseRepresentation
bin1100011001110111010…
…0010000111011010001
3202101001101100121012202
43012131310100323101
511442412341334413
6241521452332545
721252562433510
oct3063564207321
9671041317182
10213101121233
1182415033520
1235373174155
1317131637b10
14a458050677
1558236ece58
hex319dd10ed1

213101121233 has 64 divisors (see below), whose sum is σ = 287798095872. Its totient is φ = 152384474880.

The previous prime is 213101121221. The next prime is 213101121239. The reversal of 213101121233 is 332121101312.

It is a happy number.

213101121233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213101121233 - 24 = 213101121217 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213101121239) 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 63 ways as a sum of consecutive naturals, for example, 189760010 + ... + 189761132.

It is an arithmetic number, because the mean of its divisors is an integer number (4496845248).

Almost surely, 2213101121233 is an apocalyptic number.

It is an amenable number.

213101121233 is a deficient number, since it is larger than the sum of its proper divisors (74696974639).

213101121233 is a wasteful number, since it uses less digits than its factorization.

213101121233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213101121233 its reverse (332121101312), we get a palindrome (545222222545).

The spelling of 213101121233 in words is "two hundred thirteen billion, one hundred one million, one hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 7 11 13 77 91 143 293 647 1001 1123 2051 3223 3809 4529 7117 7861 8411 12353 14599 22561 26663 41899 49819 58877 86471 92521 102193 160589 189571 293293 329039 647647 726581 1124123 1326997 2085281 2303273 2464423 3619429 4277507 5086067 7992391 9445553 14596967 17250961 25336003 27108653 29942549 47052577 55946737 66118871 103901083 189760571 212888233 329368039 727307581 1490217631 2341770563 2767547029 16392393941 19372829203 30443017319 213101121233