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31318253340 = 223511212733967
BaseRepresentation
bin11101001010101101…
…101001111100011100
32222211121211002222220
4131022231221330130
51003114433101330
622215402505340
72156044522023
oct351255517434
988747732886
1031318253340
1112311379300
1260a0505250
132c5152146a
14173155b8ba
15c34722710
hex74ab69f1c

31318253340 has 144 divisors (see below), whose sum is σ = 97149566976. Its totient is φ = 7532300160.

The previous prime is 31318253333. The next prime is 31318253387. The reversal of 31318253340 is 4335281313.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905037 + ... + 939003.

Almost surely, 231318253340 is an apocalyptic number.

31318253340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31318253340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48574783488).

31318253340 is an abundant number, since it is smaller than the sum of its proper divisors (65831313636).

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

31318253340 is a wasteful number, since it uses less digits than its factorization.

31318253340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34128 (or 34115 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 31318253340 in words is "thirty-one billion, three hundred eighteen million, two hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 127 132 165 220 242 254 330 363 381 484 508 605 635 660 726 762 1210 1270 1397 1452 1524 1815 1905 2420 2540 2794 3630 3810 4191 5588 6985 7260 7620 8382 13970 15367 16764 20955 27940 30734 33967 41910 46101 61468 67934 76835 83820 92202 101901 135868 153670 169835 184404 203802 230505 307340 339670 373637 407604 461010 509505 679340 747274 922020 1019010 1120911 1494548 1868185 2038020 2241822 3736370 4110007 4313809 4483644 5604555 7472740 8220014 8627618 11209110 12330021 12941427 16440028 17255236 20550035 21569045 22418220 24660042 25882854 41100070 43138090 47451899 49320084 51765708 61650105 64707135 82200140 86276180 94903798 123300210 129414270 142355697 189807596 237259495 246600420 258828540 284711394 474518990 521970889 569422788 711778485 949037980 1043941778 1423556970 1565912667 2087883556 2609854445 2847113940 3131825334 5219708890 6263650668 7829563335 10439417780 15659126670 31318253340