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3117238971 = 3711192291289
BaseRepresentation
bin1011100111001101…
…0100101010111011
322001020122010222020
42321303110222323
522341003121341
61233153125523
7140151044160
oct27163245273
98036563866
103117238971
11135a666860
1272bb598a3
133a8a82802
14218004067
15133a01566
hexb9cd4abb

3117238971 has 96 divisors (see below), whose sum is σ = 5661964800. Its totient is φ = 1480066560.

The previous prime is 3117238961. The next prime is 3117238991. The reversal of 3117238971 is 1798327113.

It is not a de Polignac number, because 3117238971 - 29 = 3117238459 is a prime.

It is a super-2 number, since 2×31172389712 = 19434357604642277682, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3117238931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2417695 + ... + 2418983.

It is an arithmetic number, because the mean of its divisors is an integer number (58978800).

Almost surely, 23117238971 is an apocalyptic number.

3117238971 is a deficient number, since it is larger than the sum of its proper divisors (2544725829).

3117238971 is a wasteful number, since it uses less digits than its factorization.

3117238971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1358 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 3117238971 is about 55832.2395305795. The cubic root of 3117238971 is about 1460.7975518270.

The spelling of 3117238971 in words is "three billion, one hundred seventeen million, two hundred thirty-eight thousand, nine hundred seventy-one".

Divisors: 1 3 7 11 19 21 29 33 57 77 87 133 203 209 231 319 361 399 551 609 627 957 1083 1289 1463 1653 2233 2527 3857 3867 3971 4389 6061 6699 7581 9023 10469 11571 11913 14179 18183 24491 27069 27797 31407 37381 42427 42537 73283 73473 83391 99253 112143 115159 127281 171437 219849 261667 269401 297759 345477 411191 465329 514311 710239 785001 806113 808203 1233573 1395987 1885807 2130717 2418339 2878337 3257303 4971673 5118619 5657421 7812629 8635011 9771909 13494541 14915019 15355857 23437887 35830333 40483623 54688403 94461787 107490999 148439951 164065209 283385361 445319853 1039079657 3117238971