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31101110310020 = 225174191409154943
BaseRepresentation
bin1110001001001010010101…
…01000011101010010000100
311002010020101212000010020012
413010211022220131102010
513034030033214410040
6150051353002325352
76356660335530212
oct704451250352204
9132106355003205
1031101110310020
119a009a7a69433
1235a372aab9858
131447a8c267baa
147974320b7cb2
1538e027e9a865
hex1c494aa1d484

31101110310020 has 96 divisors (see below), whose sum is σ = 69368924620800. Its totient is φ = 11672343609344.

The previous prime is 31101110309981. The next prime is 31101110310043. The reversal of 31101110310020 is 2001301110113.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31101110309977 and 31101110310004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200648669 + ... + 200803611.

It is an arithmetic number, because the mean of its divisors is an integer number (722592964800).

Almost surely, 231101110310020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31101110310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34684462310400).

31101110310020 is an abundant number, since it is smaller than the sum of its proper divisors (38267814310780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31101110310020 is a wasteful number, since it uses less digits than its factorization.

31101110310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156797 (or 156795 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 31101110310020 its reverse (2001301110113), we get a palindrome (33102411420133).

The spelling of 31101110310020 in words is "thirty-one trillion, one hundred one billion, one hundred ten million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 419 838 1409 1676 2095 2818 4190 5636 7045 7123 8380 14090 14246 23953 28180 28492 35615 47906 71230 95812 119765 142460 154943 239530 309886 479060 590371 619772 774715 1180742 1549430 2361484 2634031 2951855 3098860 5268062 5903710 10036307 10536124 11807420 13170155 20072614 26340310 40145228 50181535 52680620 64921117 100363070 129842234 200726140 218314687 259684468 324605585 436629374 649211170 873258748 1091573435 1103658989 1298422340 2183146870 2207317978 3711349679 4366293740 4414635956 5518294945 7422699358 11036589890 14845398716 18556748395 22073179780 37113496790 74226993580 91473853853 182947707706 365895415412 457369269265 914738538530 1555055515501 1829477077060 3110111031002 6220222062004 7775277577505 15550555155010 31101110310020