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4124103104 = 2611311011871
BaseRepresentation
bin1111010111010000…
…1101000111000000
3101122102020010220102
43311310031013000
531421232244404
61521121501532
7204125204132
oct36564150700
911572203812
104124103104
111826a48780
129711a18a8
135095540c4
142b1a1b052
151920db71e
hexf5d0d1c0

4124103104 has 112 divisors (see below), whose sum is σ = 9311956992. Its totient is φ = 1795200000.

The previous prime is 4124103103. The next prime is 4124103107. The reversal of 4124103104 is 4013014214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124103103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2203289 + ... + 2205159.

Almost surely, 24124103104 is an apocalyptic number.

4124103104 is a gapful number since it is divisible by the number (44) 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 4124103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655978496).

4124103104 is an abundant number, since it is smaller than the sum of its proper divisors (5187853888).

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

4124103104 is a wasteful number, since it uses less digits than its factorization.

4124103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4124103104 is about 64219.1801878535. The cubic root of 4124103104 is about 1603.6509212307.

Adding to 4124103104 its reverse (4013014214), we get a palindrome (8137117318).

It can be divided in two parts, 412410 and 3104, that added together give a palindrome (415514).

The spelling of 4124103104 in words is "four billion, one hundred twenty-four million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 101 124 176 202 248 341 352 404 496 682 704 808 992 1111 1364 1616 1871 1984 2222 2728 3131 3232 3742 4444 5456 6262 6464 7484 8888 10912 12524 14968 17776 20581 21824 25048 29936 34441 35552 41162 50096 58001 59872 68882 71104 82324 100192 116002 119744 137764 164648 188971 200384 232004 275528 329296 377942 464008 551056 638011 658592 755884 928016 1102112 1276022 1317184 1511768 1856032 2078681 2204224 2552044 3023536 3712064 4157362 5104088 5858101 6047072 8314724 10208176 11716202 12094144 16629448 20416352 23432404 33258896 40832704 46864808 64439111 66517792 93729616 128878222 133035584 187459232 257756444 374918464 515512888 1031025776 2062051552 4124103104