Search a number
-
+
1123012003302 = 23271729175310313
BaseRepresentation
bin10000010101111000101…
…110110100010111100110
310222100200122012122202100
4100111320232310113212
5121344412033101202
62215523220352530
7144064166346120
oct20257056642746
93870618178670
101123012003302
113a32a2aa9742
12161792545746
1381b904aaa87
143c4d57dc210
151e32ad8241c
hex10578bb45e6

1123012003302 has 192 divisors, whose sum is σ = 3047930570880. Its totient is φ = 291378511872.

The previous prime is 1123012003279. The next prime is 1123012003307. The reversal of 1123012003302 is 2033002103211.

1123012003302 is a `hidden beast` number, since 1 + 12 + 301 + 20 + 0 + 330 + 2 = 666.

It is a super-2 number, since 2×11230120033022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123012003307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108887698 + ... + 108898010.

It is an arithmetic number, because the mean of its divisors is an integer number (15874638390).

Almost surely, 21123012003302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123012003302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523965285440).

1123012003302 is an abundant number, since it is smaller than the sum of its proper divisors (1924918567578).

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

1123012003302 is a wasteful number, since it uses less digits than its factorization.

1123012003302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12127 (or 12124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1123012003302 its reverse (2033002103211), we get a palindrome (3156014106513).

Subtracting 1123012003302 from its reverse (2033002103211), we obtain a palindrome (909990099909).

The spelling of 1123012003302 in words is "one trillion, one hundred twenty-three billion, twelve million, three thousand, three hundred two".