Search a number
-
+
121310504 = 23717791613
BaseRepresentation
bin1110011101100…
…00110100101000
322110021012201122
413032300310220
5222023414004
620012034412
73002056640
oct716606450
9273235648
10121310504
1162527417
1234762a08
131c195583
141217b520
15a9b3cbe
hex73b0d28

121310504 has 64 divisors (see below), whose sum is σ = 278899200. Its totient is φ = 48282624.

The previous prime is 121310503. The next prime is 121310537. The reversal of 121310504 is 405013121.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (121310503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74402 + ... + 76014.

It is an arithmetic number, because the mean of its divisors is an integer number (4357800).

Almost surely, 2121310504 is an apocalyptic number.

121310504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121310504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139449600).

121310504 is an abundant number, since it is smaller than the sum of its proper divisors (157588696).

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

121310504 is a wasteful number, since it uses less digits than its factorization.

121310504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 121310504 is about 11014.1047752416. The cubic root of 121310504 is about 495.0314628167.

Adding to 121310504 its reverse (405013121), we get a palindrome (526323625).

The spelling of 121310504 in words is "one hundred twenty-one million, three hundred ten thousand, five hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 79 119 136 158 238 316 476 553 632 952 1106 1343 1613 2212 2686 3226 4424 5372 6452 9401 10744 11291 12904 18802 22582 27421 37604 45164 54842 75208 90328 109684 127427 191947 219368 254854 383894 509708 767788 891989 1019416 1535576 1783978 2166259 3567956 4332518 7135912 8665036 15163813 17330072 30327626 60655252 121310504