Search a number
-
+
100111111322 = 22310123479181
BaseRepresentation
bin101110100111100010…
…1100101010010011010
3100120101220201101022212
41131033011211102122
53120011421030242
6113553532315122
710142563256135
oct1351705452232
9316356641285
10100111111322
1139503126742
121749b012aa2
1395958438a1
144bb9b0521c
15290dd86782
hex174f16549a

100111111322 has 32 divisors (see below), whose sum is σ = 158331763584. Its totient is φ = 47379816000.

The previous prime is 100111111319. The next prime is 100111111327. The reversal of 100111111322 is 223111111001.

100111111322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1001111113222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100111111297 and 100111111306.

It is not an unprimeable number, because it can be changed into a prime (100111111327) 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 15 ways as a sum of consecutive naturals, for example, 10899572 + ... + 10908752.

It is an arithmetic number, because the mean of its divisors is an integer number (4947867612).

Almost surely, 2100111111322 is an apocalyptic number.

100111111322 is a deficient number, since it is larger than the sum of its proper divisors (58220652262).

100111111322 is a wasteful number, since it uses less digits than its factorization.

100111111322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11654.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 100111111322 its reverse (223111111001), we get a palindrome (323222222323).

The spelling of 100111111322 in words is "one hundred billion, one hundred eleven million, one hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 23 46 101 202 2323 2347 4646 4694 9181 18362 53981 107962 211163 237047 422326 474094 927281 1854562 5452081 10904162 21327463 21547807 42654926 43095614 495599561 991199122 2176328507 4352657014 50055555661 100111111322