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10313420004 = 2232809354121
BaseRepresentation
bin10011001101011101…
…00100110011100100
3222121202112000112200
421212232210303210
5132110213420004
64423220214500
7513401423616
oct114656446344
928552460480
1010313420004
114412725108
121bb9b3a430
13c849066b4
146dba2adb6
1540566d239
hex266ba4ce4

10313420004 has 36 divisors (see below), whose sum is σ = 26102332620. Its totient is φ = 3433547520.

The previous prime is 10313419993. The next prime is 10313420063. The reversal of 10313420004 is 40002431301.

10313420004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3732965604 + 6580454400 = 61098^2 + 81120^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 147937 + ... + 206184.

It is an arithmetic number, because the mean of its divisors is an integer number (725064795).

Almost surely, 210313420004 is an apocalyptic number.

It is an amenable number.

10313420004 is an abundant number, since it is smaller than the sum of its proper divisors (15788912616).

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

10313420004 is a wasteful number, since it uses less digits than its factorization.

10313420004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354940 (or 354935 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10313420004 its reverse (40002431301), we get a palindrome (50315851305).

The spelling of 10313420004 in words is "ten billion, three hundred thirteen million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 809 1618 2427 3236 4854 7281 9708 14562 29124 354121 708242 1062363 1416484 2124726 3187089 4249452 6374178 12748356 286483889 572967778 859451667 1145935556 1718903334 2578355001 3437806668 5156710002 10313420004