Search a number
-
+
10321333420 = 22517532101107
BaseRepresentation
bin10011001110011001…
…10000110010101100
3222122022102001201011
421213030300302230
5132114230132140
64424101555004
7513525613036
oct114714606254
928568361634
1010321333420
11441713a622
122000715a64
13c864475a8
146dcacac56
154061d2cea
hex267330cac

10321333420 has 144 divisors (see below), whose sum is σ = 23843338848. Its totient is φ = 3739340800.

The previous prime is 10321333411. The next prime is 10321333427. The reversal of 10321333420 is 2433312301.

It is a junction number, because it is equal to n+sod(n) for n = 10321333391 and 10321333400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321333427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96461007 + ... + 96461113.

It is an arithmetic number, because the mean of its divisors is an integer number (165578742).

Almost surely, 210321333420 is an apocalyptic number.

10321333420 is a gapful number since it is divisible by the number (10) 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 10321333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11921669424).

10321333420 is an abundant number, since it is smaller than the sum of its proper divisors (13522005428).

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

10321333420 is a wasteful number, since it uses less digits than its factorization.

10321333420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10321333420 its reverse (2433312301), we get a palindrome (12754645721).

The spelling of 10321333420 in words is "ten billion, three hundred twenty-one million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 101 106 107 170 202 212 214 265 340 404 428 505 530 535 901 1010 1060 1070 1717 1802 1819 2020 2140 2809 3434 3604 3638 4505 5353 5618 5671 6868 7276 8585 9010 9095 10706 10807 11236 11342 14045 17170 18020 18190 21412 21614 22684 26765 28090 28355 34340 36380 43228 47753 53530 54035 56180 56710 91001 95506 96407 107060 108070 113420 182002 183719 191012 192814 216140 238765 283709 300563 364004 367438 385628 455005 477530 482035 567418 572771 601126 734876 910010 918595 955060 964070 1134836 1145542 1202252 1418545 1502815 1820020 1837190 1928140 2291084 2837090 2863855 3005630 3674380 4823053 5109571 5674180 5727710 6011260 9646106 9737107 10219142 11455420 19292212 19474214 20438284 24115265 25547855 30356863 38948428 48230530 48685535 51095710 60713726 96461060 97371070 102191420 121427452 151784315 194742140 303568630 516066671 607137260 1032133342 2064266684 2580333355 5160666710 10321333420