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213023330331300 = 223252515345932969
BaseRepresentation
bin110000011011111001011011…
…111011101110101010100100
31000221020211110011021012210100
4300123321123323232222210
5210410133240031100200
62033021322244024100
762604266465533626
oct6033713373565244
91027224404235710
10213023330331300
116196a761513285
121ba85422392030
1391b3024593c58
143a86554364c16
15199635ba36d00
hexc1be5beeeaa4

213023330331300 has 108 divisors (see below), whose sum is σ = 667839385738980. Its totient is φ = 56795196272640.

The previous prime is 213023330331299. The next prime is 213023330331319. The reversal of 213023330331300 is 3133033320312.

213023330331300 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 23 + 3 + 3 + 0 + 331 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16738522943076 + 196284807388224 = 4091274^2 + 14010168^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18328785 + ... + 27604184.

Almost surely, 2213023330331300 is an apocalyptic number.

213023330331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213023330331300 is an abundant number, since it is smaller than the sum of its proper divisors (454816055407680).

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

213023330331300 is a wasteful number, since it uses less digits than its factorization.

213023330331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45938142 (or 45938132 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 213023330331300 its reverse (3133033320312), we get a palindrome (216156363651612).

The spelling of 213023330331300 in words is "two hundred thirteen trillion, twenty-three billion, three hundred thirty million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 5153 10306 15459 20612 25765 30918 46377 51530 61836 77295 92754 103060 128825 154590 185508 231885 257650 309180 386475 463770 515300 772950 927540 1159425 1545900 2318850 4637700 45932969 91865938 137798907 183731876 229664845 275597814 413396721 459329690 551195628 688994535 826793442 918659380 1148324225 1377989070 1653586884 2066983605 2296648450 2755978140 3444972675 4133967210 4593296900 6889945350 8267934420 10334918025 13779890700 20669836050 41339672100 236692589257 473385178514 710077767771 946770357028 1183462946285 1420155535542 2130233303313 2366925892570 2840311071084 3550388838855 4260466606626 4733851785140 5917314731425 7100777677710 8520933213252 10651166516565 11834629462850 14201555355420 17751944194275 21302333033130 23669258925700 35503888388550 42604666066260 53255832582825 71007776777100 106511665165650 213023330331300