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113124001040 = 24510729131797
BaseRepresentation
bin110100101011010110…
…1110100010100010000
3101210222210202200011022
41221112231310110100
53323134221013130
6123545103535012
711113214100131
oct1512655642420
9353883680138
10113124001040
1143a80605356
1219b10bba468
13a88a7a952b
145692067c88
152e214d27e5
hex1a56b74510

113124001040 has 40 divisors (see below), whose sum is σ = 263039812440. Its totient is φ = 45245039616.

The previous prime is 113124001027. The next prime is 113124001043. The reversal of 113124001040 is 40100421311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46295546896 + 66828454144 = 215164^2 + 258512^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1131240010402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113124001043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792422 + ... + 924218.

It is an arithmetic number, because the mean of its divisors is an integer number (6575995311).

Almost surely, 2113124001040 is an apocalyptic number.

113124001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113124001040 is an abundant number, since it is smaller than the sum of its proper divisors (149915811400).

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

113124001040 is a wasteful number, since it uses less digits than its factorization.

113124001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142539 (or 142533 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 113124001040 its reverse (40100421311), we get a palindrome (153224422351).

The spelling of 113124001040 in words is "one hundred thirteen billion, one hundred twenty-four million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10729 21458 42916 53645 85832 107290 131797 171664 214580 263594 429160 527188 658985 858320 1054376 1317970 2108752 2635940 5271880 10543760 1414050013 2828100026 5656200052 7070250065 11312400104 14140500130 22624800208 28281000260 56562000520 113124001040