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1042002303100 = 22521129431734391
BaseRepresentation
bin11110010100111000010…
…11010101100001111100
310200121120221011111110121
433022130023111201330
5114033010042144400
62114404513344324
7135165534303133
oct17123413254174
93617527144417
101042002303100
11371a02153990
12149b445680a4
1377350120825
143860c90c91a
151c188e1821a
hexf29c2d587c

1042002303100 has 288 divisors, whose sum is σ = 2626796874240. Its totient is φ = 355189632000.

The previous prime is 1042002303077. The next prime is 1042002303107. The reversal of 1042002303100 is 13032002401.

It is a happy number.

It is a super-2 number, since 2×10420023031002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042002303107) 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, 237301905 + ... + 237306295.

It is an arithmetic number, because the mean of its divisors is an integer number (9120822480).

Almost surely, 21042002303100 is an apocalyptic number.

1042002303100 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 1042002303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313398437120).

1042002303100 is an abundant number, since it is smaller than the sum of its proper divisors (1584794571140).

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

1042002303100 is a wasteful number, since it uses less digits than its factorization.

1042002303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4661 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1042002303100 its reverse (13032002401), we get a palindrome (1055034305501).

The spelling of 1042002303100 in words is "one trillion, forty-two billion, two million, three hundred three thousand, one hundred".