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122100342 = 237131131979
BaseRepresentation
bin1110100011100…
…01101001110110
322111202100011220
413101301221312
5222224202332
620041011210
73011556450
oct721615166
9274670156
10122100342
1162a16881
1234a83b06
131c3b0c30
14123052d0
15aabcd2c
hex7471a76

122100342 has 64 divisors (see below), whose sum is σ = 303367680. Its totient is φ = 31901184.

The previous prime is 122100317. The next prime is 122100343. The reversal of 122100342 is 243001221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100343) 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, 60709 + ... + 62687.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2122100342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122100342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

122100342 is an abundant number, since it is smaller than the sum of its proper divisors (181267338).

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

122100342 is a wasteful number, since it uses less digits than its factorization.

122100342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122100342 is about 11049.9023525097. The cubic root of 122100342 is about 496.1035028321.

Adding to 122100342 its reverse (243001221), we get a palindrome (365101563).

The spelling of 122100342 in words is "one hundred twenty-two million, one hundred thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 113 182 226 273 339 546 678 791 1469 1582 1979 2373 2938 3958 4407 4746 5937 8814 10283 11874 13853 20566 25727 27706 30849 41559 51454 61698 77181 83118 154362 180089 223627 360178 447254 540267 670881 1080534 1341762 1565389 2907151 3130778 4696167 5814302 8721453 9392334 17442906 20350057 40700114 61050171 122100342