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13203630231 = 3112731373637
BaseRepresentation
bin11000100101111111…
…10110100010010111
31021002011221220121220
430102333312202113
5204020112131411
610022103341423
7645125001531
oct142277664227
937064856556
1013203630231
115666117900
122685a51873
13132562a46c
148d3814851
15524276b06
hex312ff6897

13203630231 has 48 divisors (see below), whose sum is σ = 19764468192. Its totient is φ = 7832816640.

The previous prime is 13203630221. The next prime is 13203630239.

It is a happy number.

13203630231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13203630231 - 27 = 13203630103 is a prime.

It is a super-2 number, since 2×132036302312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13203630239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3628545 + ... + 3632181.

It is an arithmetic number, because the mean of its divisors is an integer number (411759754).

Almost surely, 213203630231 is an apocalyptic number.

13203630231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13203630231 is a deficient number, since it is larger than the sum of its proper divisors (6560837961).

13203630231 is a wasteful number, since it uses less digits than its factorization.

13203630231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The spelling of 13203630231 in words is "thirteen billion, two hundred three million, six hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 11 33 73 121 137 219 363 411 803 1507 2409 3637 4521 8833 10001 10911 16577 26499 30003 40007 49731 110011 120021 265501 330033 440077 498269 796503 1210121 1320231 1494807 2920511 3630363 5480959 8761533 16442877 32125621 36373637 60290549 96376863 109120911 180871647 400110007 1200330021 4401210077 13203630231