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3112313020101 = 3241313241711149
BaseRepresentation
bin101101010010100100010…
…011111101111011000101
3102000112102110000211220100
4231102210103331323011
5401443004113120401
610341435445154313
7440600006114265
oct55224423757305
912015373024810
103112313020101
11a9aa1962004a
1242322b3bb999
1319764a2b034c
14aa8cb3777a5
1555e59930b86
hex2d4a44fdec5

3112313020101 has 48 divisors (see below), whose sum is σ = 4622250250800. Its totient is φ = 2016785571840.

The previous prime is 3112313020087. The next prime is 3112313020111. The reversal of 3112313020101 is 1010203132113.

3112313020101 is a `hidden beast` number, since 31 + 1 + 231 + 302 + 0 + 101 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 527054220225 + 2585258799876 = 725985^2 + 1607874^2 .

It is not a de Polignac number, because 3112313020101 - 211 = 3112313018053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112313020111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 279150675 + ... + 279161823.

It is an arithmetic number, because the mean of its divisors is an integer number (96296880225).

Almost surely, 23112313020101 is an apocalyptic number.

It is an amenable number.

3112313020101 is a deficient number, since it is larger than the sum of its proper divisors (1509937230699).

3112313020101 is a wasteful number, since it uses less digits than its factorization.

3112313020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13926 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3112313020101 its reverse (1010203132113), we get a palindrome (4122516152214).

The spelling of 3112313020101 in words is "three trillion, one hundred twelve billion, three hundred thirteen million, twenty thousand, one hundred one".

Divisors: 1 3 9 41 123 313 369 939 2417 2817 7251 11149 12833 21753 33447 38499 99097 100341 115497 297291 457109 756521 891873 1371327 2269563 3489637 4113981 6808689 10468911 26947133 31017361 31406733 80841399 93052083 143075117 242524197 279156249 429225351 1104832453 1287676053 3314497359 8434452629 9943492077 25303357887 75910073661 345812557789 1037437673367 3112313020101