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121100000021 = 71113177978929
BaseRepresentation
bin111000011001000011…
…1110101101100010101
3102120120200000101211222
41300302013311230111
53441003100000041
6131344345140125
711514654005360
oct1606207655425
9376520011758
10121100000021
11473a387a450
121b57818a645
13b55c068060
145c0b4850d7
15323b83b74b
hex1c321f5b15

121100000021 has 64 divisors (see below), whose sum is σ = 172395578880. Its totient is φ = 81869045760.

The previous prime is 121099999981. The next prime is 121100000051. The reversal of 121100000021 is 120000001121.

It is a cyclic number.

It is not a de Polignac number, because 121100000021 - 210 = 121099998997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121099999954 and 121100000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121100000051) 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 63 ways as a sum of consecutive naturals, for example, 13558085 + ... + 13567013.

It is an arithmetic number, because the mean of its divisors is an integer number (2693680920).

Almost surely, 2121100000021 is an apocalyptic number.

121100000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121100000021 is a deficient number, since it is larger than the sum of its proper divisors (51295578859).

121100000021 is a wasteful number, since it uses less digits than its factorization.

121100000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 121100000021 its reverse (120000001121), we get a palindrome (241100001142).

The spelling of 121100000021 in words is "one hundred twenty-one billion, one hundred million, twenty-one", and thus it is an aban number.

Divisors: 1 7 11 13 17 77 91 119 143 187 221 797 1001 1309 1547 2431 5579 8767 8929 10361 13549 17017 61369 62503 72527 94843 98219 113971 116077 149039 151793 176137 687533 797797 812539 1043273 1062551 1232959 1276847 1669723 1937507 1973309 7116413 8937929 11688061 13562549 13813163 21706399 49814891 78280543 92513369 120979021 151944793 547963801 647593583 846853147 1017647059 1330769231 1572727273 7123529413 9315384617 11009090911 17300000003 121100000021