Search a number
-
+
11120021212122 = 23310116712208829
BaseRepresentation
bin1010000111010001010011…
…1010100000101111011010
31110101001201101201222101000
42201310110322200233122
52424142300412241442
635352244530405430
72225252330513544
oct241642472405732
943331641658330
1011120021212122
1135a7a7a092009
1212b7174730876
136287c8b27474
142a62d7640694
151443cd44ed4c
hexa1d14ea0bda

11120021212122 has 64 divisors (see below), whose sum is σ = 25105261305600. Its totient is φ = 3647997806400.

The previous prime is 11120021212067. The next prime is 11120021212133. The reversal of 11120021212122 is 22121212002111.

11120021212122 is a `hidden beast` number, since 111 + 200 + 21 + 212 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11120021212095 and 11120021212104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5193597 + ... + 7015232.

It is an arithmetic number, because the mean of its divisors is an integer number (392269707900).

Almost surely, 211120021212122 is an apocalyptic number.

11120021212122 is an abundant number, since it is smaller than the sum of its proper divisors (13985240093478).

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

11120021212122 is a wasteful number, since it uses less digits than its factorization.

11120021212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12209108 (or 12209102 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11120021212122 its reverse (22121212002111), we get a palindrome (33241233214233).

The spelling of 11120021212122 in words is "eleven trillion, one hundred twenty billion, twenty-one million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 167 202 303 334 501 606 909 1002 1503 1818 2727 3006 4509 5454 9018 16867 33734 50601 101202 151803 303606 455409 910818 12208829 24417658 36626487 73252974 109879461 219758922 329638383 659276766 1233091729 2038874443 2466183458 3699275187 4077748886 6116623329 7398550374 11097825561 12233246658 18349869987 22195651122 33293476683 36699739974 55049609961 66586953366 110099219922 205926318743 411852637486 617778956229 1235557912458 1853336868687 3706673737374 5560010606061 11120021212122