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10000004313124 = 2272109521898421
BaseRepresentation
bin1001000110000100111010…
…1101000111000000100100
31022101222202111100101022201
42101201032231013000210
52302320002101004444
633133534421304244
72051322300120100
oct221411655070044
938358674311281
1010000004313124
113205a8380a591
121156099265084
13576cc5008777
14268007932900
151251ca4e5dd4
hex9184eb47024

10000004313124 has 72 divisors (see below), whose sum is σ = 20583369104760. Its totient is φ = 4238242444800.

The previous prime is 10000004313119. The next prime is 10000004313133. The reversal of 10000004313124 is 42131340000001.

It can be written as a sum of positive squares in 4 ways, for example, as 120499236900 + 9879505076224 = 347130^2 + 3143168^2 .

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 23 ways as a sum of consecutive naturals, for example, 10681434 + ... + 11579854.

It is an arithmetic number, because the mean of its divisors is an integer number (285880126455).

Almost surely, 210000004313124 is an apocalyptic number.

10000004313124 is a gapful number since it is divisible by the number (14) 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 10000004313124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291684552380).

10000004313124 is an abundant number, since it is smaller than the sum of its proper divisors (10583364791636).

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

10000004313124 is a wasteful number, since it uses less digits than its factorization.

10000004313124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899069 (or 899060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10000004313124 its reverse (42131340000001), we get a palindrome (52131344313125).

The spelling of 10000004313124 in words is "ten trillion, four million, three hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 436 521 763 1042 1526 2084 3052 3647 5341 7294 10682 14588 21364 25529 51058 56789 102116 113578 227156 397523 795046 898421 1590092 1796842 2782661 3593684 5565322 6288947 11130644 12577894 25155788 44022629 88045258 97927889 176090516 195855778 391711556 468077341 685495223 936154682 1370990446 1872309364 2741980892 3276541387 4798466561 6553082774 9596933122 13106165548 19193866244 22935789709 45871579418 51020430169 91743158836 102040860338 204081720676 357143011183 714286022366 1428572044732 2500001078281 5000002156562 10000004313124