Search a number
-
+
101120002210 = 2553190792457
BaseRepresentation
bin101111000101100111…
…0001100100010100010
3100200000020010100110001
41132023032030202202
53124043210032320
6114242012330214
710206563560033
oct1361316144242
9320006110401
10101120002210
1139980672367
1217720a7396a
1396c6874846
144c73ac8a8a
15296c72220a
hex178b38c8a2

101120002210 has 16 divisors (see below), whose sum is σ = 185450269176. Its totient is φ = 39684830848.

The previous prime is 101120002189. The next prime is 101120002219. The reversal of 101120002210 is 12200021101.

It can be written as a sum of positive squares in 4 ways, for example, as 91673911729 + 9446090481 = 302777^2 + 97191^2 .

It is a super-3 number, since 3×1011200022103 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101120002219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95395699 + ... + 95396758.

Almost surely, 2101120002210 is an apocalyptic number.

101120002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120002210 is a deficient number, since it is larger than the sum of its proper divisors (84330266966).

101120002210 is a wasteful number, since it uses less digits than its factorization.

101120002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190792517.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101120002210 its reverse (12200021101), we get a palindrome (113320023311).

The spelling of 101120002210 in words is "one hundred one billion, one hundred twenty million, two thousand, two hundred ten".

Divisors: 1 2 5 10 53 106 265 530 190792457 381584914 953962285 1907924570 10112000221 20224000442 50560001105 101120002210