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122080101 = 31113383743
BaseRepresentation
bin1110100011011…
…00101101100101
322111201022102020
413101230231211
5222223030401
620040333353
73011443443
oct721545545
9274638366
10122080101
1162a02650
1234a74259
131c3a4960
14122dbb93
15aab6d36
hex746cb65

122080101 has 32 divisors (see below), whose sum is σ = 191987712. Its totient is φ = 68026560.

The previous prime is 122080099. The next prime is 122080121. The reversal of 122080101 is 101080221.

It is not a de Polignac number, because 122080101 - 21 = 122080099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122080121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163936 + ... + 164678.

It is an arithmetic number, because the mean of its divisors is an integer number (5999616).

Almost surely, 2122080101 is an apocalyptic number.

122080101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122080101 is a deficient number, since it is larger than the sum of its proper divisors (69907611).

122080101 is a wasteful number, since it uses less digits than its factorization.

122080101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 122080101 is about 11048.9864241024. The cubic root of 122080101 is about 496.0760877138.

The spelling of 122080101 in words is "one hundred twenty-two million, eighty thousand, one hundred one".

Divisors: 1 3 11 13 33 39 143 383 429 743 1149 2229 4213 4979 8173 9659 12639 14937 24519 28977 54769 106249 164307 284569 318747 853707 3130259 3699397 9390777 11098191 40693367 122080101