Search a number
-
+
121035503232 = 2734723312339
BaseRepresentation
bin111000010111001000…
…1110011011010000000
3102120102011122121220000
41300232101303122000
53440340042100412
6131334122520000
711513241542160
oct1605621633200
9376364577800
10121035503232
1147370428016
121b55a666000
13b54b8a5387
145c02a965a0
153235d4b4dc
hex1c2e473680

121035503232 has 640 divisors, whose sum is σ = 443601100800. Its totient is φ = 31997306880.

The previous prime is 121035503203. The next prime is 121035503233. The reversal of 121035503232 is 232305530121.

It is a happy number.

121035503232 is a `hidden beast` number, since 1 + 2 + 103 + 550 + 3 + 2 + 3 + 2 = 666.

121035503232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 121035503196 and 121035503205.

It is not an unprimeable number, because it can be changed into a prime (121035503233) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51745519 + ... + 51747857.

It is an arithmetic number, because the mean of its divisors is an integer number (693126720).

Almost surely, 2121035503232 is an apocalyptic number.

121035503232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121035503232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221800550400).

121035503232 is an abundant number, since it is smaller than the sum of its proper divisors (322565597568).

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

121035503232 is a wasteful number, since it uses less digits than its factorization.

121035503232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 121035503232 in words is "one hundred twenty-one billion, thirty-five million, five hundred three thousand, two hundred thirty-two".