Search a number
-
+
120022001001 = 3278922979319
BaseRepresentation
bin110111111000111011…
…1100110010101101001
3102110210112120101012100
41233301313212111221
53431301113013001
6131045400004013
711446154114160
oct1576167462551
9373715511170
10120022001001
11469a0321871
121b317160609
13b41991b506
145b482323d7
1531c6d9e586
hex1bf1de6569

120022001001 has 48 divisors (see below), whose sum is σ = 200466489600. Its totient is φ = 67776597504.

The previous prime is 120022000991. The next prime is 120022001051. The reversal of 120022001001 is 100100220021.

It is not a de Polignac number, because 120022001001 - 26 = 120022000937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120022001051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12874620 + ... + 12883938.

It is an arithmetic number, because the mean of its divisors is an integer number (4176385200).

Almost surely, 2120022001001 is an apocalyptic number.

It is an amenable number.

120022001001 is a deficient number, since it is larger than the sum of its proper divisors (80444488599).

120022001001 is a wasteful number, since it uses less digits than its factorization.

120022001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11718 (or 11715 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120022001001 its reverse (100100220021), we get a palindrome (220122221022).

The spelling of 120022001001 in words is "one hundred twenty billion, twenty-two million, one thousand, one".

Divisors: 1 3 7 9 21 63 89 267 623 801 1869 2297 5607 6891 9319 16079 20673 27957 48237 65233 83871 144711 195699 204433 587097 613299 829391 1431031 1839897 2488173 4293093 5805737 7464519 12879279 17417211 21405743 52251633 64217229 149840201 192651687 449520603 1348561809 1905111127 5715333381 13335777889 17146000143 40007333667 120022001001