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10120220121 = 3111392206283
BaseRepresentation
bin10010110110011011…
…00100110111011001
3222010021222110010110
421123031210313121
5131211234020441
64352115234533
7505534310634
oct113315446731
928107873113
1010120220121
114323667190
121b652a8a49
13c5389063b
146c00d8c1b
153e3708b16
hex25b364dd9

10120220121 has 16 divisors (see below), whose sum is σ = 14826228480. Its totient is φ = 6089338320.

The previous prime is 10120220111. The next prime is 10120220147. The reversal of 10120220121 is 12102202101.

10120220121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120220121 - 215 = 10120187353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10120220097 and 10120220106.

It is not an unprimeable number, because it can be changed into a prime (10120220111) 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, 1098555 + ... + 1107728.

It is an arithmetic number, because the mean of its divisors is an integer number (926639280).

Almost surely, 210120220121 is an apocalyptic number.

10120220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120220121 is a deficient number, since it is larger than the sum of its proper divisors (4706008359).

10120220121 is a wasteful number, since it uses less digits than its factorization.

10120220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206436.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120220121 its reverse (12102202101), we get a palindrome (22222422222).

The spelling of 10120220121 in words is "ten billion, one hundred twenty million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 11 33 139 417 1529 4587 2206283 6618849 24269113 72807339 306673337 920020011 3373406707 10120220121