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200123211312 = 24328915615107
BaseRepresentation
bin1011101001100001000…
…1011101111000110000
3201010112221010110122100
42322120101131320300
511234323020230222
6231534010540400
720313145141443
oct2723021357060
9633487113570
10200123211312
1177965376732
1232950a37700
1315b439cb98b
1499865d565a
1553141b14ac
hex2e9845de30

200123211312 has 60 divisors (see below), whose sum is σ = 566359967160. Its totient is φ = 65958207744.

The previous prime is 200123211311. The next prime is 200123211377. The reversal of 200123211312 is 213112321002.

200123211312 is a `hidden beast` number, since 20 + 0 + 12 + 321 + 1 + 312 = 666.

It is a super-2 number, since 2×2001232113122 (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 not an unprimeable number, because it can be changed into a prime (200123211311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7794738 + ... + 7820369.

It is an arithmetic number, because the mean of its divisors is an integer number (9439332786).

Almost surely, 2200123211312 is an apocalyptic number.

It is an amenable number.

200123211312 is an abundant number, since it is smaller than the sum of its proper divisors (366236755848).

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

200123211312 is a wasteful number, since it uses less digits than its factorization.

200123211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15615210 (or 15615201 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200123211312 its reverse (213112321002), we get a palindrome (413235532314).

The spelling of 200123211312 in words is "two hundred billion, one hundred twenty-three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 534 712 801 1068 1424 1602 2136 3204 4272 6408 12816 15615107 31230214 46845321 62460428 93690642 124920856 140535963 187381284 249841712 281071926 374762568 562143852 749525136 1124287704 1389744523 2248575408 2779489046 4169233569 5558978092 8338467138 11117956184 12507700707 16676934276 22235912368 25015401414 33353868552 50030802828 66707737104 100061605656 200123211312