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103332323220 = 22357569432389
BaseRepresentation
bin110000000111100010…
…1100001111110010100
3100212201101222220100020
41200033011201332110
53143111033320340
6115245322145140
710315446153360
oct1401705417624
9325641886306
10103332323220
113a906447935
12180399521b0
139989ccb329
1450038522a0
152a4ba749d0
hex180f161f94

103332323220 has 96 divisors (see below), whose sum is σ = 331245331200. Its totient is φ = 23577252864.

The previous prime is 103332323183. The next prime is 103332323239. The reversal of 103332323220 is 22323233301.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 22786 + ... + 455174.

It is an arithmetic number, because the mean of its divisors is an integer number (3450472200).

Almost surely, 2103332323220 is an apocalyptic number.

103332323220 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 103332323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165622665600).

103332323220 is an abundant number, since it is smaller than the sum of its proper divisors (227913007980).

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

103332323220 is a wasteful number, since it uses less digits than its factorization.

103332323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432977 (or 432975 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 103332323220 its reverse (22323233301), we get a palindrome (125655556521).

The spelling of 103332323220 in words is "one hundred three billion, three hundred thirty-two million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 569 1138 1707 2276 2845 3414 3983 5690 6828 7966 8535 11380 11949 15932 17070 19915 23898 34140 39830 47796 59745 79660 119490 238980 432389 864778 1297167 1729556 2161945 2594334 3026723 4323890 5188668 6053446 6485835 8647780 9080169 12106892 12971670 15133615 18160338 25943340 30267230 36320676 45400845 60534460 90801690 181603380 246029341 492058682 738088023 984117364 1230146705 1476176046 1722205387 2460293410 2952352092 3444410774 3690440115 4920586820 5166616161 6888821548 7380880230 8611026935 10333232322 14761760460 17222053870 20666464644 25833080805 34444107740 51666161610 103332323220