Search a number
-
+
100222066206 = 2337092617721
BaseRepresentation
bin101110101010110110…
…0110101111000011110
3100120200122111110211000
41131111230311320132
53120223322104311
6114012534411130
710145411335563
oct1352554657036
9316618443730
10100222066206
113955a81a799
1217510200aa6
1395b2821772
144bca74886a
1529189a2056
hex1755b35e1e

100222066206 has 32 divisors (see below), whose sum is σ = 223029914400. Its totient is φ = 33360223680.

The previous prime is 100222066141. The next prime is 100222066223. The reversal of 100222066206 is 602660222001.

100222066206 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 20 + 6 + 620 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100222066206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1270575 + ... + 1347146.

It is an arithmetic number, because the mean of its divisors is an integer number (6969684825).

Almost surely, 2100222066206 is an apocalyptic number.

100222066206 is an abundant number, since it is smaller than the sum of its proper divisors (122807848194).

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

100222066206 is a wasteful number, since it uses less digits than its factorization.

100222066206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618441 (or 2618435 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 100222066206 its reverse (602660222001), we get a palindrome (702882288207).

The spelling of 100222066206 in words is "one hundred billion, two hundred twenty-two million, sixty-six thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 54 709 1418 2127 4254 6381 12762 19143 38286 2617721 5235442 7853163 15706326 23559489 47118978 70678467 141356934 1855964189 3711928378 5567892567 11135785134 16703677701 33407355402 50111033103 100222066206