Search a number
-
+
100110202200201 = 3596112773008179
BaseRepresentation
bin10110110000110010111001…
…000010100110000010001001
3111010110102221010012100012010
4112300302321002212002021
5101110201143230401301
6552525554134210133
730041503064322534
oct2660627102460211
9433412833170163
10100110202200201
1129997553302296
12b28a0401b3949
1343b24754ba72b
141aa1506bcba1b
15b891695085d6
hex5b0cb90a6089

100110202200201 has 32 divisors (see below), whose sum is σ = 139054299955200. Its totient is φ = 64025251778880.

The previous prime is 100110202200193. The next prime is 100110202200227. The reversal of 100110202200201 is 102002202011001.

It is not a de Polignac number, because 100110202200201 - 23 = 100110202200193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100110202200601) 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 31 ways as a sum of consecutive naturals, for example, 35132871 + ... + 37875308.

It is an arithmetic number, because the mean of its divisors is an integer number (4345446873600).

Almost surely, 2100110202200201 is an apocalyptic number.

It is an amenable number.

100110202200201 is a deficient number, since it is larger than the sum of its proper divisors (38944097754999).

100110202200201 is a wasteful number, since it uses less digits than its factorization.

100110202200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73008429.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100110202200201 its reverse (102002202011001), we get a palindrome (202112404211202).

It can be divided in two parts, 10011020 and 2200201, that added together give a palindrome (12211221).

The spelling of 100110202200201 in words is "one hundred trillion, one hundred ten billion, two hundred two million, two hundred thousand, two hundred one".

Divisors: 1 3 59 61 127 177 183 381 3599 7493 7747 10797 22479 23241 457073 1371219 73008179 219024537 4307482561 4453498919 9272038733 12922447683 13360496757 27816116199 262756436221 547050285247 565594362713 788269308663 1641150855741 1696783088139 33370067400067 100110202200201