Search a number
-
+
117500141 = 11172947461
BaseRepresentation
bin1110000000011…
…10100011101101
322012002121220002
413000032203231
5220040001031
615354234045
72624510003
oct700164355
9265077802
10117500141
1160364660
1233425925
131b460115
1411868a73
15a4aeccb
hex700e8ed

117500141 has 32 divisors (see below), whose sum is σ = 143700480. Its totient is φ = 94796800.

The previous prime is 117500069. The next prime is 117500183. The reversal of 117500141 is 141005711.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 117500141 - 210 = 117499117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117500191) 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 31 ways as a sum of consecutive naturals, for example, 254651 + ... + 255111.

It is an arithmetic number, because the mean of its divisors is an integer number (4490640).

Almost surely, 2117500141 is an apocalyptic number.

117500141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

117500141 is a deficient number, since it is larger than the sum of its proper divisors (26200339).

117500141 is a wasteful number, since it uses less digits than its factorization.

117500141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 117500141 is about 10839.7481981825. The cubic root of 117500141 is about 489.7932502749.

Adding to 117500141 its reverse (141005711), we get a palindrome (258505852).

The spelling of 117500141 in words is "one hundred seventeen million, five hundred thousand, one hundred forty-one".

Divisors: 1 11 17 29 47 187 319 461 493 517 799 1363 5071 5423 7837 8789 13369 14993 21667 23171 86207 147059 227273 238337 254881 368339 628343 2500003 4051729 6911773 10681831 117500141