Search a number
-
+
210321000123012 = 223237679432323987
BaseRepresentation
bin101111110100100100101100…
…100000000100101010000100
31000120200111021010020010020200
4233310210230200010222010
5210031344402012414022
62023152044505130500
762205122310004062
oct5764445440045204
91016614233203220
10210321000123012
11610186a956a929
121b709751489a30
139048253ba1a9c
1439d183ad1b032
15194adea114bac
hexbf492c804a84

210321000123012 has 72 divisors (see below), whose sum is σ = 546021798643776. Its totient is φ = 68211182942784.

The previous prime is 210321000123001. The next prime is 210321000123079.

210321000123012 is a `hidden beast` number, since 210 + 3 + 210 + 0 + 0 + 1 + 230 + 12 = 666.

210321000123012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 89338083 + ... + 91662069.

Almost surely, 2210321000123012 is an apocalyptic number.

It is an amenable number.

210321000123012 is an abundant number, since it is smaller than the sum of its proper divisors (335700798520764).

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

210321000123012 is a wasteful number, since it uses less digits than its factorization.

210321000123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391977 (or 2391972 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 210321000 and 123012, that added together give a palindrome (210444012).

The spelling of 210321000123012 in words is "two hundred ten trillion, three hundred twenty-one billion, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 67943 135886 203829 271772 407658 611487 815316 1222974 2323987 2445948 2513891 4647974 5027782 6971961 7541673 9295948 10055564 13943922 15083346 20915883 22625019 27887844 30166692 41831766 45250038 83663532 85987519 90500076 171975038 257962557 343950076 515925114 773887671 1031850228 1547775342 3095550684 157898648741 315797297482 473695946223 631594594964 947391892446 1421087838669 1894783784892 2842175677338 5684351354676 5842250003417 11684500006834 17526750010251 23369000013668 35053500020502 52580250030753 70107000041004 105160500061506 210321000123012