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104130430224 = 24337301919421
BaseRepresentation
bin110000011111010101…
…0000100010100010000
3100221210000202221022220
41200332222010110100
53201224342231344
6115500432301040
710344310024062
oct1407652042420
9327700687286
10104130430224
1140185a054a7
12182210a1780
139a8646a6b2
14507b847732
152a96b75c19
hex183ea84510

104130430224 has 80 divisors (see below), whose sum is σ = 276379721280. Its totient is φ = 33759106560.

The previous prime is 104130430219. The next prime is 104130430241. The reversal of 104130430224 is 422034031401.

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 = 104130430194 and 104130430203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5352034 + ... + 5371454.

It is an arithmetic number, because the mean of its divisors is an integer number (3454746516).

Almost surely, 2104130430224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104130430224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138189860640).

104130430224 is an abundant number, since it is smaller than the sum of its proper divisors (172249291056).

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

104130430224 is a wasteful number, since it uses less digits than its factorization.

104130430224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22488 (or 22482 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 104130430224 its reverse (422034031401), we get a palindrome (526164461625).

The spelling of 104130430224 in words is "one hundred four billion, one hundred thirty million, four hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 3019 6038 9057 12076 18114 19421 24152 36228 38842 48304 58263 72456 77684 111703 116526 144912 155368 223406 233052 310736 335109 446812 466104 670218 718577 893624 932208 1340436 1437154 1787248 2155731 2680872 2874308 4311462 5361744 5748616 8622924 11497232 17245848 34491696 58631999 117263998 175895997 234527996 351791994 469055992 703583988 938111984 1407167976 2169383963 2814335952 4338767926 6508151889 8677535852 13016303778 17355071704 26032607556 34710143408 52065215112 104130430224