Search a number
-
+
122314104 = 23331151479
BaseRepresentation
bin1110100101001…
…01110101111000
322112011012102000
413102211311320
5222303022404
620045341000
73013436613
oct722456570
9275135360
10122314104
1163052440
1234b67760
131c457313
141235d17a
15ab11339
hex74a5d78

122314104 has 64 divisors (see below), whose sum is σ = 370656000. Its totient is φ = 37064160.

The previous prime is 122314103. The next prime is 122314117. The reversal of 122314104 is 401413221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122314103) 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, 23364 + ... + 28115.

It is an arithmetic number, because the mean of its divisors is an integer number (5791500).

Almost surely, 2122314104 is an apocalyptic number.

It is an amenable number.

122314104 is an abundant number, since it is smaller than the sum of its proper divisors (248341896).

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

122314104 is a wasteful number, since it uses less digits than its factorization.

122314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51505 (or 51495 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122314104 is about 11059.5706969122. The cubic root of 122314104 is about 496.3928447754.

Adding to 122314104 its reverse (401413221), we get a palindrome (523727325).

The spelling of 122314104 in words is "one hundred twenty-two million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 51479 102958 154437 205916 308874 411832 463311 566269 617748 926622 1132538 1235496 1389933 1698807 1853244 2265076 2779866 3397614 3706488 4530152 5096421 5559732 6795228 10192842 11119464 13590456 15289263 20385684 30578526 40771368 61157052 122314104