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31311312113010 = 23529375407179897
BaseRepresentation
bin1110001111010001110111…
…01000101100110101110010
311002212022222011210002111210
413013220323220230311302
513101001031400104020
6150332115044420550
76411111334423116
oct707507350546562
9132768864702453
1031311312113010
119a82064449176
1236184130a7756
13146184b010387
147a369304d746
1539472bd913e0
hex1c7a3ba2cd72

31311312113010 has 128 divisors (see below), whose sum is σ = 79854678558720. Its totient is φ = 7842383345664.

The previous prime is 31311312112931. The next prime is 31311312113027. The reversal of 31311312113010 is 1031121311313.

It is a super-2 number, since 2×313113121130102 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173961382 + ... + 174141278.

It is an arithmetic number, because the mean of its divisors is an integer number (623864676240).

Almost surely, 231311312113010 is an apocalyptic number.

31311312113010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31311312113010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39927339279360).

31311312113010 is an abundant number, since it is smaller than the sum of its proper divisors (48543366445710).

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

31311312113010 is a wasteful number, since it uses less digits than its factorization.

31311312113010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185380.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 31311312113010 its reverse (1031121311313), we get a palindrome (32342433424323).

The spelling of 31311312113010 in words is "thirty-one trillion, three hundred eleven billion, three hundred twelve million, one hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 111 145 174 185 222 290 370 435 555 870 1073 1110 2146 3219 5365 5407 6438 10730 10814 16095 16221 27035 32190 32442 54070 81105 156803 162210 179897 200059 313606 359794 400118 470409 539691 600177 784015 899485 940818 1000295 1079382 1200354 1568030 1798970 2000590 2352045 2698455 3000885 4704090 5217013 5396910 5801711 6001770 6656189 10434026 11603422 13312378 15651039 17405133 19968567 26085065 29008555 31302078 33280945 34810266 39937134 52170130 58017110 66561890 78255195 87025665 99842835 156510390 174051330 193029481 199685670 386058962 579088443 965147405 972703079 1158176886 1930294810 1945406158 2895442215 2918109237 4863515395 5790884430 5836218474 9727030790 14590546185 28208389291 29181092370 35990013923 56416778582 71980027846 84625167873 107970041769 141041946455 169250335746 179950069615 215940083538 282083892910 359900139230 423125839365 539850208845 846251678730 1043710403767 1079700417690 2087420807534 3131131211301 5218552018835 6262262422602 10437104037670 15655656056505 31311312113010