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31313202200 = 23527151148123
BaseRepresentation
bin11101001010011010…
…011000110000011000
32222211021022111010122
4131022122120300120
51003112134432300
622215102332412
72155653553460
oct351232306030
988737274118
1031313202200
1112309539305
12609a88a108
132c50473317
141730a04ba0
15c34075c85
hex74a698c18

31313202200 has 96 divisors (see below), whose sum is σ = 83755234560. Its totient is φ = 10664784000.

The previous prime is 31313202191. The next prime is 31313202211. The reversal of 31313202200 is 220231313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137339 + ... + 285461.

It is an arithmetic number, because the mean of its divisors is an integer number (872450360).

Almost surely, 231313202200 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 31313202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41877617280).

31313202200 is an abundant number, since it is smaller than the sum of its proper divisors (52442032360).

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

31313202200 is a wasteful number, since it uses less digits than its factorization.

31313202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148297 (or 148288 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 31313202200 its reverse (220231313), we get a palindrome (31533433513).

The spelling of 31313202200 in words is "thirty-one billion, three hundred thirteen million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 151 175 200 280 302 350 604 700 755 1057 1208 1400 1510 2114 3020 3775 4228 5285 6040 7550 8456 10570 15100 21140 26425 30200 42280 52850 105700 148123 211400 296246 592492 740615 1036861 1184984 1481230 2073722 2962460 3703075 4147444 5184305 5924920 7406150 8294888 10368610 14812300 20737220 22366573 25921525 29624600 41474440 44733146 51843050 89466292 103686100 111832865 156566011 178932584 207372200 223665730 313132022 447331460 559164325 626264044 782830055 894662920 1118328650 1252528088 1565660110 2236657300 3131320220 3914150275 4473314600 6262640440 7828300550 15656601100 31313202200