Search a number
-
+
202331430120 = 23354591367261
BaseRepresentation
bin1011110001101111100…
…1001001110011101000
3201100020211021121101010
42330123321021303220
511303333321230440
6232541052423520
720421650531241
oct2743371116350
9640224247333
10202331430120
11788988aa156
1233268477ba0
131610634a221
149b159b1cc8
1553e2ea3580
hex2f1be49ce8

202331430120 has 64 divisors (see below), whose sum is σ = 607128157440. Its totient is φ = 53943148800.

The previous prime is 202331430113. The next prime is 202331430121. The reversal of 202331430120 is 21034133202.

It is a super-3 number, since 3×2023314301203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (202331430121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367290 + ... + 734550.

It is an arithmetic number, because the mean of its divisors is an integer number (9486377460).

Almost surely, 2202331430120 is an apocalyptic number.

202331430120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202331430120 is an abundant number, since it is smaller than the sum of its proper divisors (404796727320).

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

202331430120 is a wasteful number, since it uses less digits than its factorization.

202331430120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371866 (or 371862 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 202331430120 its reverse (21034133202), we get a palindrome (223365563322).

The spelling of 202331430120 in words is "two hundred two billion, three hundred thirty-one million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4591 9182 13773 18364 22955 27546 36728 45910 55092 68865 91820 110184 137730 183640 275460 367261 550920 734522 1101783 1469044 1836305 2203566 2938088 3672610 4407132 5508915 7345220 8814264 11017830 14690440 22035660 44071320 1686095251 3372190502 5058285753 6744381004 8430476255 10116571506 13488762008 16860952510 20233143012 25291428765 33721905020 40466286024 50582857530 67443810040 101165715060 202331430120