Search a number
-
+
10334003220 = 22335112317041
BaseRepresentation
bin10011001111111010…
…00110000000010100
3222200012020202102000
421213331012000110
5132131001100340
64425233315300
7514041402162
oct114775060024
928605222360
1010334003220
114423303632
122004a05b30
13c88c62408
14700668232
15407386d30
hex267f46014

10334003220 has 96 divisors (see below), whose sum is σ = 32180749440. Its totient is φ = 2753118720.

The previous prime is 10334003209. The next prime is 10334003227. The reversal of 10334003220 is 2230043301.

10334003220 is a `hidden beast` number, since 1 + 0 + 3 + 340 + 0 + 322 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10334003193 and 10334003202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334003227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597900 + ... + 614940.

It is an arithmetic number, because the mean of its divisors is an integer number (335216140).

Almost surely, 210334003220 is an apocalyptic number.

10334003220 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 10334003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090374720).

10334003220 is an abundant number, since it is smaller than the sum of its proper divisors (21846746220).

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

10334003220 is a wasteful number, since it uses less digits than its factorization.

10334003220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18182 (or 18174 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10334003220 its reverse (2230043301), we get a palindrome (12564046521).

The spelling of 10334003220 in words is "ten billion, three hundred thirty-four million, three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1123 2246 3369 4492 5615 6738 10107 11230 13476 16845 17041 20214 22460 30321 33690 34082 40428 50535 51123 60642 67380 68164 85205 101070 102246 121284 151605 153369 170410 202140 204492 255615 303210 306738 340820 460107 511230 606420 613476 766845 920214 1022460 1533690 1840428 2300535 3067380 4601070 9202140 19137043 38274086 57411129 76548172 95685215 114822258 172233387 191370430 229644516 287055645 344466774 382740860 516700161 574111290 688933548 861166935 1033400322 1148222580 1722333870 2066800644 2583500805 3444667740 5167001610 10334003220