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1003200023001 = 31129901279127
BaseRepresentation
bin11101001100100110110…
…00011000100111011001
310112220102201211102210110
432212103120120213121
5112414023201214001
62044510322034533
7132323142333111
oct16462330304731
93486381742713
101003200023001
11357500294600
121425157a8a49
13737a8244987
14367ab43a041
151b16766b3d6
hexe9936189d9

1003200023001 has 24 divisors (see below), whose sum is σ = 1470408342592. Its totient is φ = 607936428000.

The previous prime is 1003200022897. The next prime is 1003200023011.

It is a happy number.

1003200023001 is nontrivially palindromic in base 10.

1003200023001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1003200023001 - 214 = 1003200006617 is a prime.

It is a super-2 number, since 2×10032000230012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1003200023011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3454500 + ... + 3733626.

Almost surely, 21003200023001 is an apocalyptic number.

1003200023001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1003200023001 is a deficient number, since it is larger than the sum of its proper divisors (467208319591).

1003200023001 is a wasteful number, since it uses less digits than its factorization.

1003200023001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289053 (or 289042 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 10032000 and 23001, that added together give a palindrome (10055001).

The spelling of 1003200023001 in words is "one trillion, three billion, two hundred million, twenty-three thousand, one".

Divisors: 1 3 11 33 121 363 9901 29703 108911 279127 326733 837381 1198021 3070397 3594063 9211191 33774367 101323101 2763636427 8290909281 30400000697 91200002091 334400007667 1003200023001