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200300123320 = 235112409310111
BaseRepresentation
bin1011101010001011010…
…0010101010010111000
3201011000021000112021221
42322202310111102320
511240203312421240
6232003330441424
720320423646053
oct2724264252270
9634007015257
10200300123320
1177a4621a300
12329a0133274
1315b7156113b
1499a1cc7a9a
1553249a9a4a
hex2ea2d154b8

200300123320 has 96 divisors (see below), whose sum is σ = 495540380160. Its totient is φ = 72811411200.

The previous prime is 200300123291. The next prime is 200300123347. The reversal of 200300123320 is 23321003002.

It is a junction number, because it is equal to n+sod(n) for n = 200300123294 and 200300123303.

It is a congruent number.

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, 19805065 + ... + 19815175.

It is an arithmetic number, because the mean of its divisors is an integer number (5161878960).

Almost surely, 2200300123320 is an apocalyptic number.

200300123320 is a gapful number since it is divisible by the number (20) 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 200300123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247770190080).

200300123320 is an abundant number, since it is smaller than the sum of its proper divisors (295240256840).

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

200300123320 is a wasteful number, since it uses less digits than its factorization.

200300123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14237 (or 14222 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 200300123320 its reverse (23321003002), we get a palindrome (223621126322).

The spelling of 200300123320 in words is "two hundred billion, three hundred million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2420 4093 4840 8186 10111 16372 20222 20465 32744 40444 40930 45023 50555 80888 81860 90046 101110 111221 163720 180092 202220 222442 225115 360184 404440 444884 450230 495253 556105 889768 900460 990506 1112210 1223431 1800920 1981012 2224420 2446862 2476265 3962024 4448840 4893724 4952530 6117155 9787448 9905060 12234310 19810120 24468620 41384323 48937240 82768646 165537292 206921615 331074584 413843230 455227553 827686460 910455106 1655372920 1820910212 2276137765 3641820424 4552275530 5007503083 9104551060 10015006166 18209102120 20030012332 25037515415 40060024664 50075030830 100150061660 200300123320