Search a number
-
+
31101101121321 = 33711117171276747
BaseRepresentation
bin1110001001001010010100…
…00101011001111100101001
311002010020101012201021201000
413010211022011121330221
513034030023341340241
6150051352033345213
76356660164450050
oct704451205317451
9132106335637630
1031101101121321
119a009a2862870
1235a3727a08209
131447a8a39b6aa
14797430ba5397
1538e027282eb6
hex1c494a159f29

31101101121321 has 64 divisors (see below), whose sum is σ = 57449982965760. Its totient is φ = 16155024626880.

The previous prime is 31101101121151. The next prime is 31101101121347. The reversal of 31101101121321 is 12312110110113.

31101101121321 is a `hidden beast` number, since 3 + 110 + 110 + 1 + 121 + 321 = 666.

It is not a de Polignac number, because 31101101121321 - 29 = 31101101120809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31101101121294 and 31101101121303.

It is not an unprimeable number, because it can be changed into a prime (31101101126321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23721270 + ... + 24998016.

It is an arithmetic number, because the mean of its divisors is an integer number (897655983840).

Almost surely, 231101101121321 is an apocalyptic number.

It is an amenable number.

31101101121321 is a deficient number, since it is larger than the sum of its proper divisors (26348881844439).

31101101121321 is a wasteful number, since it uses less digits than its factorization.

31101101121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288491 (or 1288485 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 31101101121321 its reverse (12312110110113), we get a palindrome (43413211231434).

The spelling of 31101101121321 in words is "thirty-one trillion, one hundred one billion, one hundred one million, one hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 11717 35151 82019 105453 128887 246057 316359 386661 738171 902209 1159983 1276747 2214513 2706627 3479949 3830241 8119881 8937229 11490723 14044217 24359643 26811687 34472169 42132651 80435061 98309519 126397953 241305183 294928557 379193859 884785671 2654357013 14959644599 44878933797 104717512193 134636801391 164556090589 314152536579 403910404173 493668271767 942457609737 1151892634123 1481004815301 2827372829211 3455677902369 4443014445903 10367033707107 31101101121321