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122200101 = 3213577789
BaseRepresentation
bin1110100100010…
…10000000100101
322111221102000200
413102022000211
5222240400401
620043101113
73012453342
oct722120045
9274842020
10122200101
1162a84821
1234b11799
131c41746a
141232d7c9
15aadc686
hex748a025

122200101 has 6 divisors (see below), whose sum is σ = 176511270. Its totient is φ = 81466728.

The previous prime is 122200087. The next prime is 122200157. The reversal of 122200101 is 101002221.

It can be written as a sum of positive squares in only one way, i.e., 88849476 + 33350625 = 9426^2 + 5775^2 .

It is not a de Polignac number, because 122200101 - 25 = 122200069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13577789 = 122200101 / (1 + 2 + 2 + 2 + 0 + 0 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200181) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6788886 + ... + 6788903.

It is an arithmetic number, because the mean of its divisors is an integer number (29418545).

Almost surely, 2122200101 is an apocalyptic number.

It is an amenable number.

122200101 is a deficient number, since it is larger than the sum of its proper divisors (54311169).

122200101 is a wasteful number, since it uses less digits than its factorization.

122200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13577795 (or 13577792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 122200101 is about 11054.4154526596. The cubic root of 122200101 is about 496.2385756643.

Adding to 122200101 its reverse (101002221), we get a palindrome (223202322).

The spelling of 122200101 in words is "one hundred twenty-two million, two hundred thousand, one hundred one".

Divisors: 1 3 9 13577789 40733367 122200101