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2310103342120 = 235767673318289
BaseRepresentation
bin100001100111011100111…
…000111001110000101000
322011211210001222211120111
4201213130320321300220
5300322042423421440
64525125151504104
7325620341264350
oct41473470716050
98154701884514
102310103342120
11810789126602
12313868b28034
13139ac35c4212
147db49775b60
154015765e4ea
hex219dce39c28

2310103342120 has 128 divisors (see below), whose sum is σ = 6030151545600. Its totient is φ = 780055474176.

The previous prime is 2310103342093. The next prime is 2310103342171. The reversal of 2310103342120 is 212433010132.

It is a junction number, because it is equal to n+sod(n) for n = 2310103342091 and 2310103342100.

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, 126301936 + ... + 126320224.

It is an arithmetic number, because the mean of its divisors is an integer number (47110558950).

Almost surely, 22310103342120 is an apocalyptic number.

2310103342120 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 2310103342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015075772800).

2310103342120 is an abundant number, since it is smaller than the sum of its proper divisors (3720048203480).

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

2310103342120 is a wasteful number, since it uses less digits than its factorization.

2310103342120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25107 (or 25103 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2310103342120 its reverse (212433010132), we get a palindrome (2522536352252).

The spelling of 2310103342120 in words is "two trillion, three hundred ten billion, one hundred three million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 67 70 134 140 268 280 335 469 536 670 938 1340 1876 2345 2680 3752 4690 6733 9380 13466 18289 18760 26932 33665 36578 47131 53864 67330 73156 91445 94262 128023 134660 146312 182890 188524 235655 256046 269320 365780 377048 451111 471310 512092 640115 731560 902222 942620 1024184 1225363 1280230 1804444 1885240 2255555 2450726 2560460 3157777 3608888 4511110 4901452 5120920 6126815 6315554 8577541 9022220 9802904 12253630 12631108 15788885 17155082 18044440 24507260 25262216 31577770 34310164 42887705 49014520 63155540 68620328 85775410 123139837 126311080 171550820 246279674 343101640 492559348 615699185 861978859 985118696 1231398370 1723957718 2462796740 3447915436 4309894295 4925593480 6895830872 8250369079 8619788590 16500738158 17239577180 33001476316 34479154360 41251845395 57752583553 66002952632 82503690790 115505167106 165007381580 231010334212 288762917765 330014763160 462020668424 577525835530 1155051671060 2310103342120