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122142100 = 22521221421
BaseRepresentation
bin1110100011110…
…11110110010100
322111211110110111
413101323312110
5222232021400
620041532404
73012122263
oct721736624
9274743414
10122142100
1162a45193
1234aa4104
131c3c6c42
14123165da
15aaca3ba
hex747bd94

122142100 has 18 divisors (see below), whose sum is σ = 265048574. Its totient is φ = 48856800.

The previous prime is 122142091. The next prime is 122142103. The reversal of 122142100 is 1241221.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 23775376 + 98366724 = 4876^2 + 9918^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122142103) 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, 610611 + ... + 610810.

Almost surely, 2122142100 is an apocalyptic number.

122142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122142100 is an abundant number, since it is smaller than the sum of its proper divisors (142906474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122142100 is a wasteful number, since it uses less digits than its factorization.

122142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221435 (or 1221428 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 122142100 is about 11051.7917099446. The cubic root of 122142100 is about 496.1600517561.

Adding to 122142100 its reverse (1241221), we get a palindrome (123383321).

The spelling of 122142100 in words is "one hundred twenty-two million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1221421 2442842 4885684 6107105 12214210 24428420 30535525 61071050 122142100