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204300401310 = 23354014574129
BaseRepresentation
bin1011111001000101000…
…0001011101010011110
3201112100001020201002000
42332101100023222132
511321401400320220
6233504310343130
720521516521105
oct2762120135236
9645301221060
10204300401310
1179709283375
123371795aaa6
131635b24c235
149c612b103c
1554aac87390
hex2f9140ba9e

204300401310 has 128 divisors (see below), whose sum is σ = 547487337600. Its totient is φ = 54212198400.

The previous prime is 204300401257. The next prime is 204300401321. The reversal of 204300401310 is 13104003402.

204300401310 is a `hidden beast` number, since 204 + 30 + 0 + 401 + 31 + 0 = 666.

204300401310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2043004013102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49477326 + ... + 49481454.

It is an arithmetic number, because the mean of its divisors is an integer number (4277244825).

Almost surely, 2204300401310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204300401310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273743668800).

204300401310 is an abundant number, since it is smaller than the sum of its proper divisors (343186936290).

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

204300401310 is a wasteful number, since it uses less digits than its factorization.

204300401310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 204300401310 its reverse (13104003402), we get a palindrome (217404404712).

The spelling of 204300401310 in words is "two hundred four billion, three hundred million, four hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 401 457 802 914 1203 1371 2005 2285 2406 2742 3609 4010 4113 4129 4570 6015 6855 7218 8226 8258 10827 12030 12339 12387 13710 18045 20565 20645 21654 24678 24774 36090 37161 41130 41290 54135 61695 61935 74322 108270 111483 123390 123870 183257 185805 222966 366514 371610 549771 557415 916285 1099542 1114830 1649313 1655729 1832570 1886953 2748855 3298626 3311458 3773906 4947939 4967187 5497710 5660859 8246565 8278645 9434765 9895878 9934374 11321718 14901561 16493130 16557290 16982577 18869530 24739695 24835935 28304295 29803122 33965154 44704683 49479390 49671870 50947731 56608590 74507805 84912885 89409366 101895462 149015610 169825770 223523415 254738655 447046830 509477310 756668153 1513336306 2270004459 3783340765 4540008918 6810013377 7566681530 11350022295 13620026754 20430040131 22700044590 34050066885 40860080262 68100133770 102150200655 204300401310