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1332021110004 = 22321321094015009
BaseRepresentation
bin10011011000100010101…
…001010010010011110100
311201100011211201101022100
4103120202221102103310
5133310434401010004
62455531055102100
7165143503423254
oct23304251222364
94640154641270
101332021110004
114739a8211072
121961a3211930
13987bc118300
14486821c5964
15249b01d1739
hex13622a524f4

1332021110004 has 216 divisors, whose sum is σ = 3689342256600. Its totient is φ = 404998963200.

The previous prime is 1332021110003. The next prime is 1332021110041. The reversal of 1332021110004 is 4000111202331.

It can be written as a sum of positive squares in 12 ways, for example, as 159521957604 + 1172499152400 = 399402^2 + 1082820^2 .

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 (1332021110003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 265923052 + ... + 265928060.

It is an arithmetic number, because the mean of its divisors is an integer number (17080288225).

Almost surely, 21332021110004 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 1332021110004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844671128300).

1332021110004 is an abundant number, since it is smaller than the sum of its proper divisors (2357321146596).

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

1332021110004 is a wasteful number, since it uses less digits than its factorization.

1332021110004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1332021110004 its reverse (4000111202331), we get a palindrome (5332132312335).

The spelling of 1332021110004 in words is "one trillion, three hundred thirty-two billion, twenty-one million, one hundred ten thousand, four".