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101313131424 = 2532936391211
BaseRepresentation
bin101111001011010111…
…0111011001110100000
3100200111200112022220220
41132112232323032200
53124442130201144
6114313112003040
710214430260001
oct1362656731640
9320450468826
10101313131424
1139a6a69218a
1217775690480
13972789469b
144c915dd1a8
15297e670919
hex1796bbb3a0

101313131424 has 48 divisors (see below), whose sum is σ = 275117562720. Its totient is φ = 32606524160.

The previous prime is 101313131407. The next prime is 101313131483. The reversal of 101313131424 is 424131313101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101313131394 and 101313131403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18192822 + ... + 18198389.

It is an arithmetic number, because the mean of its divisors is an integer number (5731615890).

Almost surely, 2101313131424 is an apocalyptic number.

It is an amenable number.

101313131424 is an abundant number, since it is smaller than the sum of its proper divisors (173804431296).

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

101313131424 is a wasteful number, since it uses less digits than its factorization.

101313131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36391253 (or 36391245 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101313131424 its reverse (424131313101), we get a palindrome (525444444525).

The spelling of 101313131424 in words is "one hundred one billion, three hundred thirteen million, one hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 36391211 72782422 109173633 145564844 218347266 291129688 436694532 582259376 873389064 1055345119 1164518752 1746778128 2110690238 3166035357 3493556256 4221380476 6332070714 8442760952 12664141428 16885521904 25328282856 33771043808 50656565712 101313131424