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200234510120 = 23529172615957
BaseRepresentation
bin1011101001111011101…
…0000010011100101000
3201010211200120000220102
42322132322002130220
511240040013310440
6231553024244532
720315666152661
oct2723672023450
9633750500812
10200234510120
1177a12185117
1232982170748
1315b60a9a268
1499972c8368
15531dd48b15
hex2e9ee82728

200234510120 has 32 divisors (see below), whose sum is σ = 466063086600. Its totient is φ = 77331948288.

The previous prime is 200234510093. The next prime is 200234510143. The reversal of 200234510120 is 21015432002.

200234510120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 181712933284 + 18521576836 = 426278^2 + 136094^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 200234510092 and 200234510101.

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 7 ways as a sum of consecutive naturals, for example, 86306819 + ... + 86309138.

Almost surely, 2200234510120 is an apocalyptic number.

200234510120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200234510120 is an abundant number, since it is smaller than the sum of its proper divisors (265828576480).

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

200234510120 is a wasteful number, since it uses less digits than its factorization.

200234510120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172615997 (or 172615993 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 200234510120 its reverse (21015432002), we get a palindrome (221249942122).

The spelling of 200234510120 in words is "two hundred billion, two hundred thirty-four million, five hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 172615957 345231914 690463828 863079785 1380927656 1726159570 3452319140 5005862753 6904638280 10011725506 20023451012 25029313765 40046902024 50058627530 100117255060 200234510120