Search a number
-
+
31102223323131 = 335813665929759
BaseRepresentation
bin1110001001001100011001…
…11110010000111111111011
311002010100021102100001012000
413010212030332100333323
513034034323132320011
6150052055242152043
76360030042142332
oct704461476207773
9132110242301160
1031102223323131
119a01419261684
1235a399b7b2623
131447c08a23a2c
147974d9c42d19
1538e090a52356
hex1c498cf90ffb

31102223323131 has 32 divisors (see below), whose sum is σ = 46093764096000. Its totient is φ = 20727438774624.

The previous prime is 31102223323121. The next prime is 31102223323177. The reversal of 31102223323131 is 13132332220113.

31102223323131 is a `hidden beast` number, since 3 + 1 + 10 + 2 + 2 + 2 + 332 + 313 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-31102223323131 is a prime.

It is a super-3 number, since 3×311022233231313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31102223323095 and 31102223323104.

It is not an unprimeable number, because it can be changed into a prime (31102223323121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045121830 + ... + 1045151588.

It is an arithmetic number, because the mean of its divisors is an integer number (1440430128000).

Almost surely, 231102223323131 is an apocalyptic number.

31102223323131 is a deficient number, since it is larger than the sum of its proper divisors (14991540772869).

31102223323131 is a wasteful number, since it uses less digits than its factorization.

31102223323131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42240 (or 42234 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31102223323131 its reverse (13132332220113), we get a palindrome (44234555543244).

The spelling of 31102223323131 in words is "thirty-one trillion, one hundred two billion, two hundred twenty-three million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 5813 6659 17439 19977 29759 52317 59931 89277 156951 179793 267831 803493 38708767 116126301 172989067 198165181 348378903 518967201 594495543 1045136709 1556901603 1783486629 4670704809 5350459887 1151934197153 3455802591459 10367407774377 31102223323131