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2003139938124 = 223213192389110051
BaseRepresentation
bin11101001001100100011…
…100011100011101001100
321002111110021012020022200
4131021210130130131030
5230304412311004444
64132121344441500
7264502450352433
oct35114434343514
97074407166280
102003139938124
11702588300876
1228427b619290
13116b83c33a20
146cd498c211a
153718d9b4969
hex1d26471c74c

2003139938124 has 288 divisors, whose sum is σ = 6056909913600. Its totient is φ = 552243225600.

The previous prime is 2003139938123. The next prime is 2003139938131. The reversal of 2003139938124 is 4218399313002.

2003139938124 is a `hidden beast` number, since 200 + 3 + 1 + 399 + 38 + 1 + 24 = 666.

It is a super-2 number, since 2×20031399381242 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2003139938124.

It is not an unprimeable number, because it can be changed into a prime (2003139938123) 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, 18146899 + ... + 18256949.

It is an arithmetic number, because the mean of its divisors is an integer number (21030937200).

Almost surely, 22003139938124 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 2003139938124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028454956800).

2003139938124 is an abundant number, since it is smaller than the sum of its proper divisors (4053769975476).

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

2003139938124 is a wasteful number, since it uses less digits than its factorization.

2003139938124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110205 (or 110200 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2003139938124 in words is "two trillion, three billion, one hundred thirty-nine million, nine hundred thirty-eight thousand, one hundred twenty-four".