Search a number
-
+
101318960 = 2451266487
BaseRepresentation
bin1100000101000…
…00000100110000
321001122112111002
412002200010300
5201414201320
614015341132
72340124361
oct602400460
9231575432
10101318960
1152212486
1229b217a8
1317cb5c62
14d655b68
158d65675
hex60a0130

101318960 has 20 divisors (see below), whose sum is σ = 235566768. Its totient is φ = 40527552.

The previous prime is 101318951. The next prime is 101318983. The reversal of 101318960 is 69813101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 633164 + ... + 633323.

Almost surely, 2101318960 is an apocalyptic number.

101318960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101318960 is an abundant number, since it is smaller than the sum of its proper divisors (134247808).

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

101318960 is a wasteful number, since it uses less digits than its factorization.

101318960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266500 (or 1266494 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 101318960 is about 10065.7319654360. The cubic root of 101318960 is about 466.1906665723.

It can be divided in two parts, 10131 and 8960, that added together give a palindrome (19091).

The spelling of 101318960 in words is "one hundred one million, three hundred eighteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1266487 2532974 5065948 6332435 10131896 12664870 20263792 25329740 50659480 101318960