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1003022100201 = 31137978004901
BaseRepresentation
bin11101001100010001100…
…01101010011011101001
310112212222100001000121010
432212020301222123221
5112413142124201301
62044440524334133
7132315552115542
oct16461061523351
93485870030533
101003022100201
11357419910570
121424860a4349
137377a41a404
14367919634c9
151b156c235d6
hexe988c6a6e9

1003022100201 has 16 divisors (see below), whose sum is σ = 1459325654208. Its totient is φ = 607732008000.

The previous prime is 1003022100193. The next prime is 1003022100209. The reversal of 1003022100201 is 1020012203001.

1003022100201 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 (1003022100193) and next prime (1003022100209).

It is not a de Polignac number, because 1003022100201 - 23 = 1003022100193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1003022100209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3877150 + ... + 4127751.

It is an arithmetic number, because the mean of its divisors is an integer number (91207853388).

Almost surely, 21003022100201 is an apocalyptic number.

1003022100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003022100201 is a deficient number, since it is larger than the sum of its proper divisors (456303554007).

1003022100201 is a wasteful number, since it uses less digits than its factorization.

1003022100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8008712.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1003022100201 its reverse (1020012203001), we get a palindrome (2023034303202).

The spelling of 1003022100201 in words is "one trillion, three billion, twenty-two million, one hundred thousand, two hundred one".

Divisors: 1 3 11 33 3797 11391 41767 125301 8004901 24014703 88053911 264161733 30394609097 91183827291 334340700067 1003022100201