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122431014 = 2342233389
BaseRepresentation
bin1110100110000…
…10011000100110
322112101010210000
413103002120212
5222320243024
620052042130
73014434506
oct723023046
9275333700
10122431014
1163122262
1235003346
131c4985b4
141238da06
15ab35cc9
hex74c2626

122431014 has 40 divisors (see below), whose sum is σ = 275647680. Its totient is φ = 40615344.

The previous prime is 122430989. The next prime is 122431031. The reversal of 122431014 is 410134221.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34432 + ... + 37820.

It is an arithmetic number, because the mean of its divisors is an integer number (6891192).

Almost surely, 2122431014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122431014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137823840).

122431014 is an abundant number, since it is smaller than the sum of its proper divisors (153216666).

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

122431014 is a wasteful number, since it uses less digits than its factorization.

122431014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3617 counting only the distinct ones).

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

The square root of 122431014 is about 11064.8549018955. The cubic root of 122431014 is about 496.5509481220.

Adding to 122431014 its reverse (410134221), we get a palindrome (532565235).

The spelling of 122431014 in words is "one hundred twenty-two million, four hundred thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 446 669 1338 2007 3389 4014 6021 6778 10167 12042 18063 20334 30501 36126 61002 91503 183006 274509 549018 755747 1511494 2267241 4534482 6801723 13603446 20405169 40810338 61215507 122431014