Search a number
-
+
10321014210 = 2351323721487
BaseRepresentation
bin10011001110010111…
…00010110111000010
3222122021210211211120
421213023202313002
5132114134423320
64424051053110
7513523113303
oct114713426702
928567724746
1010321014210
114416a41811
1220005a1196
13c86365200
146dca467aa
1540616d440
hex2672e2dc2

10321014210 has 144 divisors (see below), whose sum is σ = 27585484416. Its totient is φ = 2470231296.

The previous prime is 10321014203. The next prime is 10321014229. The reversal of 10321014210 is 1241012301.

10321014210 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10321014210.

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 71 ways as a sum of consecutive naturals, for example, 6940087 + ... + 6941573.

It is an arithmetic number, because the mean of its divisors is an integer number (191565864).

Almost surely, 210321014210 is an apocalyptic number.

10321014210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10321014210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13792742208).

10321014210 is an abundant number, since it is smaller than the sum of its proper divisors (17264470206).

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

10321014210 is a wasteful number, since it uses less digits than its factorization.

10321014210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10321014210 its reverse (1241012301), we get a palindrome (11562026511).

The spelling of 10321014210 in words is "ten billion, three hundred twenty-one million, fourteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 169 185 195 222 338 370 390 481 507 555 845 962 1014 1110 1369 1443 1487 1690 2405 2535 2738 2886 2974 4107 4461 4810 5070 6253 6845 7215 7435 8214 8922 12506 13690 14430 14870 17797 18759 19331 20535 22305 31265 35594 37518 38662 41070 44610 53391 55019 57993 62530 88985 93795 96655 106782 110038 115986 165057 177970 187590 193310 231361 251303 266955 275095 289965 330114 462722 502606 533910 550190 579930 694083 715247 753909 825285 1156805 1256515 1388166 1430494 1507818 1650570 2035703 2145741 2313610 2513030 3470415 3576235 3769545 4071406 4291482 6107109 6940830 7152470 7539090 9298211 10178515 10728705 12214218 18596422 20357030 21457410 26464139 27894633 30535545 46491055 52928278 55789266 61071090 79392417 92982110 132320695 139473165 158784834 264641390 278946330 344033807 396962085 688067614 793924170 1032101421 1720169035 2064202842 3440338070 5160507105 10321014210