Search a number
-
+
233131320100 = 22527333044743
BaseRepresentation
bin1101100100011110110…
…1011010001100100100
3211021202022201010112001
43121013231122030210
512304423104220400
6255033221135044
722562132344660
oct3310755321444
9737668633461
10233131320100
118a963609388
123922325a484
1318ca43570b3
14b3d83578a0
1560e6e31a6a
hex3647b5a324

233131320100 has 36 divisors (see below), whose sum is σ = 578165675584. Its totient is φ = 79930738080.

The previous prime is 233131320089. The next prime is 233131320133. The reversal of 233131320100 is 1023131332.

233131320100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2331313201003 (a number of 35 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 166521672 + ... + 166523071.

Almost surely, 2233131320100 is an apocalyptic number.

233131320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233131320100 is an abundant number, since it is smaller than the sum of its proper divisors (345034355484).

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

233131320100 is a wasteful number, since it uses less digits than its factorization.

233131320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333044764 (or 333044757 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 233131320100 its reverse (1023131332), we get a palindrome (234154451432).

The spelling of 233131320100 in words is "two hundred thirty-three billion, one hundred thirty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 333044743 666089486 1332178972 1665223715 2331313201 3330447430 4662626402 6660894860 8326118575 9325252804 11656566005 16652237150 23313132010 33304474300 46626264020 58282830025 116565660050 233131320100