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122100011 = 11297101103
BaseRepresentation
bin1110100011100…
…01100100101011
322111202022201122
413101301210223
5222224200021
620041005455
73011555465
oct721614453
9274668648
10122100011
1162a16600
1234a8388b
131c3b0a37
1412305135
15aabcbab
hex747192b

122100011 has 24 divisors (see below), whose sum is σ = 138264672. Its totient is φ = 107712000.

The previous prime is 122100007. The next prime is 122100029. The reversal of 122100011 is 110001221.

It is not a de Polignac number, because 122100011 - 22 = 122100007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122100071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1185386 + ... + 1185488.

It is an arithmetic number, because the mean of its divisors is an integer number (5761028).

Almost surely, 2122100011 is an apocalyptic number.

122100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122100011 is a deficient number, since it is larger than the sum of its proper divisors (16164661).

122100011 is a wasteful number, since it uses less digits than its factorization.

122100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

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

The square root of 122100011 is about 11049.8873749917. The cubic root of 122100011 is about 496.1030545384.

Adding to 122100011 its reverse (110001221), we get a palindrome (232101232).

The spelling of 122100011 in words is "one hundred twenty-two million, one hundred thousand, eleven".

Divisors: 1 11 97 101 103 121 1067 1111 1133 9797 9991 10403 11737 12221 12463 107767 109901 114433 1009091 1185437 1208911 1258763 11100001 122100011