Search a number
-
+
121100022021121 = 111310176918235981
BaseRepresentation
bin11011100010001111001011…
…110010110111110000000001
3120212210001022202021120222021
4123202033023302313300001
5111333100321114133441
61105320325422241441
734336121303116213
oct3342171362676001
9525701282246867
10121100022021121
113564a25a3a5a80
12116b9bb4426281
1352758b59452a0
1421c93b542a5b3
15e001520063d1
hex6e23cbcb7c01

121100022021121 has 64 divisors (see below), whose sum is σ = 143969806632960. Its totient is φ = 100413480960000.

The previous prime is 121100022021113. The next prime is 121100022021133. The reversal of 121100022021121 is 121120220001121.

It is not a de Polignac number, because 121100022021121 - 23 = 121100022021113 is a prime.

It is a super-2 number, since 2×1211000220211212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121100022021095 and 121100022021104.

It is not an unprimeable number, because it can be changed into a prime (121100022021721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20247450951 + ... + 20247456931.

It is an arithmetic number, because the mean of its divisors is an integer number (2249528228640).

Almost surely, 2121100022021121 is an apocalyptic number.

121100022021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121100022021121 is a deficient number, since it is larger than the sum of its proper divisors (22869784611839).

121100022021121 is a wasteful number, since it uses less digits than its factorization.

121100022021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8698.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121100022021121 its reverse (121120220001121), we get a palindrome (242220242022242).

The spelling of 121100022021121 in words is "one hundred twenty-one trillion, one hundred billion, twenty-two million, twenty-one thousand, one hundred twenty-one".

Divisors: 1 11 13 101 143 769 1111 1313 1823 5981 8459 9997 14443 20053 23699 65791 77669 77753 109967 184123 260689 604081 854359 855283 1009697 1401887 2025353 2393599 4599389 6644891 7853053 10903363 11106667 15420757 18224531 26329589 50593279 59792057 86383583 119936993 141590587 141743719 200469841 464538289 657712627 1101239663 1557496457 1559180909 1840677631 5109921179 6038997757 8384686147 12113636293 14316115619 20247453941 66428975327 92231547617 109000919911 157477271809 846853300847 1199010119021 9315386309317 11009092911011 121100022021121