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13831800801 = 3721312595749
BaseRepresentation
bin11001110000111000…
…01000011111100001
31022200221222021122120
430320130020133201
5211311420111201
610204303254453
7666523236600
oct147034103741
938627867576
1013831800801
115958766735
1228202aa429
1313c580a420
14953011a37
1555e4ab536
hex3387087e1

13831800801 has 48 divisors (see below), whose sum is σ = 23126040000. Its totient is φ = 7288831872.

The previous prime is 13831800793. The next prime is 13831800803. The reversal of 13831800801 is 10800813831.

It is not a de Polignac number, because 13831800801 - 23 = 13831800793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13831800803) 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, 2403075 + ... + 2408823.

It is an arithmetic number, because the mean of its divisors is an integer number (481792500).

Almost surely, 213831800801 is an apocalyptic number.

It is an amenable number.

13831800801 is a deficient number, since it is larger than the sum of its proper divisors (9294239199).

13831800801 is a wasteful number, since it uses less digits than its factorization.

13831800801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7038 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 13831800801 in words is "thirteen billion, eight hundred thirty-one million, eight hundred thousand, eight hundred one".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1259 1911 3777 5749 8813 16367 17247 26439 40243 49101 61691 74737 114569 120729 185073 224211 281701 343707 523159 801983 845103 1569477 2405949 3662113 7237991 10986339 21713973 50665937 94093883 151997811 282281649 354661559 658657181 1063984677 1975971543 4610600267 13831800801