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10314430002 = 2387111071
BaseRepresentation
bin10011001101100100…
…11011011000110010
3222121211102100000000
421212302123120302
5132110443230002
64423254010430
7513413131332
oct114662333062
928554370000
1010314430002
114413254a18
121bba346a16
13c84b9b326
146dbc110c2
154057bc61c
hex266c9b632

10314430002 has 72 divisors (see below), whose sum is σ = 23535263232. Its totient is φ = 3389412600.

The previous prime is 10314430001. The next prime is 10314430031. The reversal of 10314430002 is 20003441301.

10314430002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10314430001) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 926127 + ... + 937197.

It is an arithmetic number, because the mean of its divisors is an integer number (326878656).

Almost surely, 210314430002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314430002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11767631616).

10314430002 is an abundant number, since it is smaller than the sum of its proper divisors (13220833230).

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

10314430002 is an frugal number, since it uses more digits than its factorization.

10314430002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11168 (or 11147 counting only the distinct ones).

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

Adding to 10314430002 its reverse (20003441301), we get a palindrome (30317871303).

The spelling of 10314430002 in words is "ten billion, three hundred fourteen million, four hundred thirty thousand, two".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 243 426 486 639 729 1278 1458 1917 2187 3834 4374 5751 6561 11071 11502 13122 17253 22142 33213 34506 51759 66426 99639 103518 155277 199278 298917 310554 465831 597834 786041 896751 931662 1572082 1793502 2358123 2690253 4716246 5380506 7074369 8070759 14148738 16141518 21223107 24212277 42446214 48424554 63669321 72636831 127338642 145273662 191007963 382015926 573023889 1146047778 1719071667 3438143334 5157215001 10314430002