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31103312011331 = 7219711187396413
BaseRepresentation
bin1110001001001110011011…
…10111010010000001000011
311002010110002021220010122012
413010213031313102001003
513034044040333330311
6150052355252403135
76360066031633400
oct704471567220103
9132113067803565
1031103312011331
119a0192785019a
1235a40443164ab
131448050443a31
147975a06792a7
1538e10640178b
hex1c49cddd2043

31103312011331 has 48 divisors (see below), whose sum is σ = 38654741410560. Its totient is φ = 24880053925440.

The previous prime is 31103312011297. The next prime is 31103312011333. The reversal of 31103312011331 is 13311021330113.

It is not a de Polignac number, because 31103312011331 - 214 = 31103311994947 is a prime.

It is a super-3 number, since 3×311033120113313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31103312011297 and 31103312011306.

It is not an unprimeable number, because it can be changed into a prime (31103312011333) 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, 78263681 + ... + 78660093.

It is an arithmetic number, because the mean of its divisors is an integer number (805307112720).

Almost surely, 231103312011331 is an apocalyptic number.

31103312011331 is a deficient number, since it is larger than the sum of its proper divisors (7551429399229).

31103312011331 is a wasteful number, since it uses less digits than its factorization.

31103312011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397704 (or 397697 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 31103312011331 its reverse (13311021330113), we get a palindrome (44414333341444).

The spelling of 31103312011331 in words is "thirty-one trillion, one hundred three billion, three hundred twelve million, eleven thousand, three hundred thirty-one".

Divisors: 1 7 19 49 71 133 497 931 1187 1349 3479 8309 9443 22553 58163 66101 84277 157871 396413 589939 1105097 1601263 2774891 4129573 7531847 11208841 19424237 28145323 52722929 78461887 197017261 369060503 470542231 534761137 1379120827 3293795617 3743327959 8940302389 23056569319 26203295713 33408498401 62582116723 233859488807 438074817061 634761469619 1637016421649 4443330287333 31103312011331