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2313100140 = 2235133780149
BaseRepresentation
bin1000100111011111…
…0001101101101100
312222012111122212120
42021313301231230
514214123201030
61021305432540
7111215012121
oct21167615554
95865448776
102313100140
11a8775940a
1254679b750
132ab2b0b10
1417d2bc748
15d810d010
hex89df1b6c

2313100140 has 96 divisors (see below), whose sum is σ = 7163486400. Its totient is φ = 553982976.

The previous prime is 2313100093. The next prime is 2313100183. The reversal of 2313100140 is 410013132.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 11215 + ... + 68934.

It is an arithmetic number, because the mean of its divisors is an integer number (74619650).

Almost surely, 22313100140 is an apocalyptic number.

2313100140 is a gapful number since it is divisible by the number (20) 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 2313100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581743200).

2313100140 is an abundant number, since it is smaller than the sum of its proper divisors (4850386260).

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

2313100140 is a wasteful number, since it uses less digits than its factorization.

2313100140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80211 (or 80209 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2313100140 is about 48094.6997079720. The cubic root of 2313100140 is about 1322.5075040997.

Adding to 2313100140 its reverse (410013132), we get a palindrome (2723113272).

The spelling of 2313100140 in words is "two billion, three hundred thirteen million, one hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 2220 2405 2886 4810 5772 7215 9620 14430 28860 80149 160298 240447 320596 400745 480894 801490 961788 1041937 1202235 1602980 2083874 2404470 2965513 3125811 4167748 4808940 5209685 5931026 6251622 8896539 10419370 11862052 12503244 14827565 15629055 17793078 20838740 29655130 31258110 35586156 38551669 44482695 59310260 62516220 77103338 88965390 115655007 154206676 177930780 192758345 231310014 385516690 462620028 578275035 771033380 1156550070 2313100140