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1123233220304 = 241323491190249
BaseRepresentation
bin10000010110000101111…
…010101100011011010000
310222101021001110122102122
4100112011322230123100
5121400340201022204
62220001202033412
7144102523561466
oct20260572543320
93871231418378
101123233220304
113a33a6963308
12161834648868
1381bc7283400
143c516d44836
151e3404cd0be
hex10585eac6d0

1123233220304 has 60 divisors (see below), whose sum is σ = 2363300887500. Its totient is φ = 516929467392.

The previous prime is 1123233220283. The next prime is 1123233220331. The reversal of 1123233220304 is 4030223323211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33606222400 + 1089626997904 = 183320^2 + 1043852^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 348572 + ... + 1538820.

It is an arithmetic number, because the mean of its divisors is an integer number (39388348125).

Almost surely, 21123233220304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123233220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181650443750).

1123233220304 is an abundant number, since it is smaller than the sum of its proper divisors (1240067667196).

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

1123233220304 is a wasteful number, since it uses less digits than its factorization.

1123233220304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190632 (or 1190613 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 1123233220304 its reverse (4030223323211), we get a palindrome (5153456543515).

The spelling of 1123233220304 in words is "one trillion, one hundred twenty-three billion, two hundred thirty-three million, two hundred twenty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 349 676 698 1352 1396 2704 2792 4537 5584 9074 18148 36296 58981 72592 117962 235924 471848 943696 1190249 2380498 4760996 9521992 15473237 19043984 30946474 61892948 123785896 201152081 247571792 402304162 415396901 804608324 830793802 1609216648 1661587604 3218433296 3323175208 5400159713 6646350416 10800319426 21600638852 43201277704 70202076269 86402555408 140404152538 280808305076 561616610152 1123233220304