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1042140002200 = 23521119712511399
BaseRepresentation
bin11110010101001000110…
…00100111011110011000
310200121221112021100010021
433022210120213132120
5114033300320032300
62114430313000224
7135202125601213
oct17124430473630
93617845240107
101042140002200
11371a729542a0
12149b826b3074
137737280379b
1438622d1477a
151c196067d1a
hexf2a4627798

1042140002200 has 384 divisors, whose sum is σ = 2834818560000. Its totient is φ = 352296000000.

The previous prime is 1042140002179. The next prime is 1042140002221. The reversal of 1042140002200 is 22000412401.

1042140002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1042140002179) and next prime (1042140002221).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 744917101 + ... + 744918499.

It is an arithmetic number, because the mean of its divisors is an integer number (7382340000).

Almost surely, 21042140002200 is an apocalyptic number.

1042140002200 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 1042140002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417409280000).

1042140002200 is an abundant number, since it is smaller than the sum of its proper divisors (1792678557800).

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

1042140002200 is a wasteful number, since it uses less digits than its factorization.

1042140002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1042140002200 its reverse (22000412401), we get a palindrome (1064140414601).

The spelling of 1042140002200 in words is "one trillion, forty-two billion, one hundred forty million, two thousand, two hundred".