Search a number
-
+
10304011044200 = 2352419431285289
BaseRepresentation
bin1001010111110001011011…
…1010110000010101101000
31100111001110020122102211002
42111330112322300111220
52322310103311403300
633525333004454132
72112303666522236
oct225742672602550
940431406572732
1010304011044200
1133129a7678185
1211a4ba054a348
13599882c74763
14278a06c5b956
1512d06e8095d5
hex95f16eb0568

10304011044200 has 96 divisors (see below), whose sum is σ = 24069803184000. Its totient is φ = 4102213209600.

The previous prime is 10304011044167. The next prime is 10304011044211. The reversal of 10304011044200 is 244011040301.

10304011044200 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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35975156 + ... + 36260444.

It is an arithmetic number, because the mean of its divisors is an integer number (250727116500).

Almost surely, 210304011044200 is an apocalyptic number.

10304011044200 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 10304011044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12034901592000).

10304011044200 is an abundant number, since it is smaller than the sum of its proper divisors (13765792139800).

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

10304011044200 is a wasteful number, since it uses less digits than its factorization.

10304011044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286155 (or 286146 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10304011044200 its reverse (244011040301), we get a palindrome (10548022084501).

The spelling of 10304011044200 in words is "ten trillion, three hundred four billion, eleven million, forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 419 431 838 862 1676 1724 2095 2155 3352 3448 4190 4310 8380 8620 10475 10775 16760 17240 20950 21550 41900 43100 83800 86200 180589 285289 361178 570578 722356 902945 1141156 1426445 1444712 1805890 2282312 2852890 3611780 4514725 5705780 7132225 7223560 9029450 11411560 14264450 18058900 28528900 36117800 57057800 119536091 122959559 239072182 245919118 478144364 491838236 597680455 614797795 956288728 983676472 1195360910 1229595590 2390721820 2459191180 2988402275 3073988975 4781443640 4918382360 5976804550 6147977950 11953609100 12295955900 23907218200 24591911800 51520055221 103040110442 206080220884 257600276105 412160441768 515200552210 1030401104420 1288001380525 2060802208840 2576002761050 5152005522100 10304011044200