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2313123000 = 23353839919
BaseRepresentation
bin1000100111011111…
…0111010010111000
312222012112211020020
42021313313102320
514214124414000
61021310130440
7111215135556
oct21167672270
95865484206
102313123000
11a87774601
125467b0a20
132ab2bb346
1417d2c6bd6
15d8114ba0
hex89df74b8

2313123000 has 128 divisors (see below), whose sum is σ = 7233408000. Its totient is φ = 615427200.

The previous prime is 2313122927. The next prime is 2313123017. The reversal of 2313123000 is 3213132.

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

It is a congruent number.

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, 2516541 + ... + 2517459.

It is an arithmetic number, because the mean of its divisors is an integer number (56511000).

Almost surely, 22313123000 is an apocalyptic number.

2313123000 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 2313123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616704000).

2313123000 is an abundant number, since it is smaller than the sum of its proper divisors (4920285000).

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

2313123000 is a wasteful number, since it uses less digits than its factorization.

2313123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2313123000 is about 48094.9373635105. The cubic root of 2313123000 is about 1322.5118607956.

Adding to 2313123000 its reverse (3213132), we get a palindrome (2316336132).

The spelling of 2313123000 in words is "two billion, three hundred thirteen million, one hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 839 919 1000 1500 1678 1838 2517 2757 3000 3356 3676 4195 4595 5034 5514 6712 7352 8390 9190 10068 11028 12585 13785 16780 18380 20136 20975 22056 22975 25170 27570 33560 36760 41950 45950 50340 55140 62925 68925 83900 91900 100680 104875 110280 114875 125850 137850 167800 183800 209750 229750 251700 275700 314625 344625 419500 459500 503400 551400 629250 689250 771041 839000 919000 1258500 1378500 1542082 2313123 2517000 2757000 3084164 3855205 4626246 6168328 7710410 9252492 11565615 15420820 18504984 19276025 23131230 30841640 38552050 46262460 57828075 77104100 92524920 96380125 115656150 154208200 192760250 231312300 289140375 385520500 462624600 578280750 771041000 1156561500 2313123000