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101213413040 = 2458914215367
BaseRepresentation
bin101111001000011001…
…0100001111010110000
3100200020201220010000102
41132100302201322300
53124241113204130
6114255150411532
710212106546565
oct1362062417260
9320221803012
10101213413040
1139a193732a3
1217748200ba8
13971001c11c
144c8228286c
152975a24645
hex1790ca1eb0

101213413040 has 40 divisors (see below), whose sum is σ = 237965260320. Its totient is φ = 40030470656.

The previous prime is 101213413033. The next prime is 101213413051. The reversal of 101213413040 is 40314312101.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 7100564 + ... + 7114803.

It is an arithmetic number, because the mean of its divisors is an integer number (5949131508).

Almost surely, 2101213413040 is an apocalyptic number.

101213413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101213413040 is an abundant number, since it is smaller than the sum of its proper divisors (136751847280).

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

101213413040 is a wasteful number, since it uses less digits than its factorization.

101213413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14215469 (or 14215463 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101213413040 its reverse (40314312101), we get a palindrome (141527725141).

The spelling of 101213413040 in words is "one hundred one billion, two hundred thirteen million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 14215367 28430734 56861468 71076835 113722936 142153670 227445872 284307340 568614680 1137229360 1265167663 2530335326 5060670652 6325838315 10121341304 12651676630 20242682608 25303353260 50606706520 101213413040