Search a number
-
+
103233330111120 = 2435111672231050013
BaseRepresentation
bin10111011110001111100001…
…111110000110001010010000
3111112112000021021100120021020
4113132033201332012022100
5102012333330002023440
61003320423120155440
730513235104465066
oct2736174176061220
9445460237316236
10103233330111120
112a991011618930
12b6b3389468b80
13457ab27252b51
141b6c73c60c036
15be05086113d0
hex5de3e1f86290

103233330111120 has 320 divisors, whose sum is σ = 352782124498944. Its totient is φ = 24764827023360.

The previous prime is 103233330111103. The next prime is 103233330111137. The reversal of 103233330111120 is 21111033332301.

103233330111120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103233330111103) and next prime (103233330111137).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97791234 + ... + 98841246.

Almost surely, 2103233330111120 is an apocalyptic number.

103233330111120 is a gapful number since it is divisible by the number (10) 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 103233330111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176391062249472).

103233330111120 is an abundant number, since it is smaller than the sum of its proper divisors (249548794387824).

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

103233330111120 is a wasteful number, since it uses less digits than its factorization.

103233330111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050430 (or 1050424 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 103233330111120 its reverse (21111033332301), we get a palindrome (124344363443421).

The spelling of 103233330111120 in words is "one hundred three trillion, two hundred thirty-three billion, three hundred thirty million, one hundred eleven thousand, one hundred twenty".