Search a number
-
+
122413032 = 2334726987
BaseRepresentation
bin1110100101111…
…01111111101000
322112100020010000
413102331333220
5222314204112
620051423000
73014331210
oct722757750
9275306100
10122413032
116310a7a5
1234bb4a60
131c490361
1412387240
15ab307dc
hex74bdfe8

122413032 has 80 divisors (see below), whose sum is σ = 391865760. Its totient is φ = 34973856.

The previous prime is 122413019. The next prime is 122413063. The reversal of 122413032 is 230314221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122412996 and 122413014.

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, 8958 + ... + 18029.

It is an arithmetic number, because the mean of its divisors is an integer number (4898322).

Almost surely, 2122413032 is an apocalyptic number.

122413032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122413032 is an abundant number, since it is smaller than the sum of its proper divisors (269452728).

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

122413032 is a wasteful number, since it uses less digits than its factorization.

122413032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27012 (or 26999 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122413032 is about 11064.0422992684. The cubic root of 122413032 is about 496.5266366995.

Adding to 122413032 its reverse (230314221), we get a palindrome (352727253).

The spelling of 122413032 in words is "one hundred twenty-two million, four hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 26987 53974 80961 107948 161922 188909 215896 242883 323844 377818 485766 566727 647688 728649 755636 971532 1133454 1457298 1511272 1700181 1943064 2185947 2266908 2914596 3400362 4371894 4533816 5100543 5829192 6800724 8743788 10201086 13601448 15301629 17487576 20402172 30603258 40804344 61206516 122413032