Search a number
-
+
1123000033320 = 23325112950319441
BaseRepresentation
bin10000010101111000000…
…001001010000000101000
310222100122210200112000200
4100111320001022000220
5121344401002031240
62215522112032200
7144063662533164
oct20257001120050
93870583615020
101123000033320
113a32972734a0
1216178a532660
1381b8ab79649
143c4d3da3ca4
151e329cba930
hex1057804a028

1123000033320 has 384 divisors, whose sum is σ = 4127241081600. Its totient is φ = 262318694400.

The previous prime is 1123000033303. The next prime is 1123000033327. The reversal of 1123000033320 is 233300003211.

1123000033320 is a `hidden beast` number, since 1 + 12 + 300 + 0 + 0 + 33 + 320 = 666.

It is a super-2 number, since 2×11230000333202 (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 junction number, because it is equal to n+sod(n) for n = 1123000033293 and 1123000033302.

It is not an unprimeable number, because it can be changed into a prime (1123000033327) 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, 57754800 + ... + 57774240.

It is an arithmetic number, because the mean of its divisors is an integer number (10748023650).

Almost surely, 21123000033320 is an apocalyptic number.

1123000033320 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 1123000033320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063620540800).

1123000033320 is an abundant number, since it is smaller than the sum of its proper divisors (3004241048280).

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

1123000033320 is a wasteful number, since it uses less digits than its factorization.

1123000033320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20001 (or 19994 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 1123000033320 its reverse (233300003211), we get a palindrome (1356300036531).

The spelling of 1123000033320 in words is "one trillion, one hundred twenty-three billion, thirty-three thousand, three hundred twenty".