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10103424408 = 23337112112879
BaseRepresentation
bin10010110100011011…
…00000010110011000
3222002010101010202000
421122031200112120
5131142434040113
64350315241000
7505241455560
oct113215402630
928063333660
1010103424408
114315135330
121b5b749160
13c5025c84c
146bbba5da0
153e1edc373
hex25a360598

10103424408 has 256 divisors, whose sum is σ = 35168256000. Its totient is φ = 2610921600.

The previous prime is 10103424391. The next prime is 10103424431. The reversal of 10103424408 is 80442430101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3507913 + ... + 3510791.

It is an arithmetic number, because the mean of its divisors is an integer number (137376000).

Almost surely, 210103424408 is an apocalyptic number.

10103424408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103424408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17584128000).

10103424408 is an abundant number, since it is smaller than the sum of its proper divisors (25064831592).

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

10103424408 is a wasteful number, since it uses less digits than its factorization.

10103424408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10103424408 its reverse (80442430101), we get a palindrome (90545854509).

The spelling of 10103424408 in words is "ten billion, one hundred three million, four hundred twenty-four thousand, four hundred eight".