Search a number
-
+
31023632013 = 3112317513671
BaseRepresentation
bin11100111001001001…
…110000111010001101
32222002002102210111220
4130321021300322031
51002014022211023
622130240033553
72145536343513
oct347111607215
988062383456
1031023632013
1112180038a00
1260199028b9
132c0548790a
1417043884b3
15c189273e3
hex739270e8d

31023632013 has 48 divisors (see below), whose sum is σ = 47009120256. Its totient is φ = 18166500000.

The previous prime is 31023631997. The next prime is 31023632023.

It is a happy number.

31023632013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31023632013 - 24 = 31023631997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31023632023) 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, 8449168 + ... + 8452838.

It is an arithmetic number, because the mean of its divisors is an integer number (979356672).

Almost surely, 231023632013 is an apocalyptic number.

31023632013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31023632013 is a deficient number, since it is larger than the sum of its proper divisors (15985488243).

31023632013 is a wasteful number, since it uses less digits than its factorization.

31023632013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4467 counting only the distinct ones).

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

The spelling of 31023632013 in words is "thirty-one billion, twenty-three million, six hundred thirty-two thousand, thirteen".

Divisors: 1 3 11 31 33 93 121 341 363 751 1023 2253 3671 3751 8261 11013 11253 23281 24783 40381 69843 90871 113801 121143 256091 272613 341403 444191 768273 1251811 1332573 2756921 2817001 3755433 8270763 8451003 13769921 30326131 41309763 85464551 90978393 256393653 333587441 940110061 1000762323 2820330183 10341210671 31023632013