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2003431103334 = 2321934631245557
BaseRepresentation
bin11101001001110101110…
…011001001101101100110
321002112012120001221220100
4131021311303021231212
5230311011330301314
64132210305244530
7264512614254543
oct35116563115546
97075176057810
102003431103334
117027176a0581
12284341033746
13116bcc35a42b
146cd76435bca
15371a932ac09
hex1d275cc9b66

2003431103334 has 48 divisors (see below), whose sum is σ = 4372685808192. Its totient is φ = 662914796544.

The previous prime is 2003431103309. The next prime is 2003431103347. The reversal of 2003431103334 is 4333011343002.

2003431103334 is a `hidden beast` number, since 200 + 343 + 110 + 3 + 3 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2003431103298 and 2003431103307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 985684 + ... + 2231240.

It is an arithmetic number, because the mean of its divisors is an integer number (91097621004).

Almost surely, 22003431103334 is an apocalyptic number.

2003431103334 is an abundant number, since it is smaller than the sum of its proper divisors (2369254704858).

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

2003431103334 is a wasteful number, since it uses less digits than its factorization.

2003431103334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246221 (or 1246218 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2003431103334 its reverse (4333011343002), we get a palindrome (6336442446336).

The spelling of 2003431103334 in words is "two trillion, three billion, four hundred thirty-one million, one hundred three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 193 386 463 579 926 1158 1389 1737 2778 3474 4167 8334 89359 178718 268077 536154 804231 1245557 1608462 2491114 3736671 7473342 11210013 22420026 240392501 480785002 576692891 721177503 1153385782 1442355006 1730078673 2163532509 3460157346 4327065018 5190236019 10380472038 111301727963 222603455926 333905183889 667810367778 1001715551667 2003431103334