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122116501 = 1397113857
BaseRepresentation
bin1110100011101…
…01100110010101
322111210011100101
413101311212111
5222230212001
620041214101
73011654533
oct721654625
9274704311
10122116501
1162a27a31
1234a91331
131c3b83b0
141230b153
15aac2a01
hex7475995

122116501 has 16 divisors (see below), whose sum is σ = 134198064. Its totient is φ = 110444544.

The previous prime is 122116493. The next prime is 122116507. The reversal of 122116501 is 105611221.

It can be written as a sum of positive squares in 8 ways, for example, as 10074276 + 112042225 = 3174^2 + 10585^2 .

It is a cyclic number.

It is not a de Polignac number, because 122116501 - 23 = 122116493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122116507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142065 + ... + 142921.

It is an arithmetic number, because the mean of its divisors is an integer number (8387379).

Almost surely, 2122116501 is an apocalyptic number.

It is an amenable number.

122116501 is a deficient number, since it is larger than the sum of its proper divisors (12081563).

122116501 is a wasteful number, since it uses less digits than its factorization.

122116501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080.

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 122116501 is about 11050.6335112517. The cubic root of 122116501 is about 496.1253869719.

Adding to 122116501 its reverse (105611221), we get a palindrome (227727722).

The spelling of 122116501 in words is "one hundred twenty-two million, one hundred sixteen thousand, five hundred one".

Divisors: 1 13 97 113 857 1261 1469 10961 11141 83129 96841 142493 1080677 1258933 9393577 122116501