Search a number
-
+
100022021101111 = 4131336726577993
BaseRepresentation
bin10110101111100000110001…
…000010011001011000110111
3111010011000022121220101001011
4112233200301002121120313
5101102230044400213421
6552421252051213051
730032231632334224
oct2657406102313067
9433130277811034
10100022021101111
112996311238539a
12b274b305a7187
1343a70614755a5
141a9b13d6c694b
15b86c07bba4e1
hex5af831099637

100022021101111 has 32 divisors (see below), whose sum is σ = 103120705997568. Its totient is φ = 96957010575360.

The previous prime is 100022021101039. The next prime is 100022021101181. The reversal of 100022021101111 is 111101120220001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100022021101111 - 237 = 99884582147639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022021101091 and 100022021101100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022021101181) 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 31 ways as a sum of consecutive naturals, for example, 12513698131 + ... + 12513706123.

It is an arithmetic number, because the mean of its divisors is an integer number (3222522062424).

Almost surely, 2100022021101111 is an apocalyptic number.

100022021101111 is a deficient number, since it is larger than the sum of its proper divisors (3098684896457).

100022021101111 is a wasteful number, since it uses less digits than its factorization.

100022021101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11371.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100022021101111 its reverse (111101120220001), we get a palindrome (211123141321112).

The spelling of 100022021101111 in words is "one hundred trillion, twenty-two billion, twenty-one million, one hundred one thousand, one hundred eleven".

Divisors: 1 41 313 367 2657 7993 12833 15047 108937 114871 327713 831641 975119 2501809 2933431 4709711 21237401 34097281 39979879 102574169 120270671 305212247 870733441 918163903 6647306513 7794126167 12513702127 37644720023 272539567033 319559172847 2439561490271 100022021101111