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2320100211120 = 243567761189599
BaseRepresentation
bin100001110000110000101…
…111111011100110110000
322012210120202212101202220
4201300300233323212300
5301003031123223440
64533501143241040
7326423150256126
oct41606057734660
98183522771686
102320100211120
11814a490a220a
12315798a49180
1313aa27756513
1480417321916
15405400ee8d0
hex21c30bfb9b0

2320100211120 has 160 divisors (see below), whose sum is σ = 7309289318400. Its totient is φ = 608655083520.

The previous prime is 2320100211097. The next prime is 2320100211131. The reversal of 2320100211120 is 211120010232.

2320100211120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2320100211120.

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, 12142081 + ... + 12331679.

It is an arithmetic number, because the mean of its divisors is an integer number (45683058240).

Almost surely, 22320100211120 is an apocalyptic number.

2320100211120 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 2320100211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654644659200).

2320100211120 is an abundant number, since it is smaller than the sum of its proper divisors (4989189107280).

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

2320100211120 is a wasteful number, since it uses less digits than its factorization.

2320100211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190443 (or 190437 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2320100211120 its reverse (211120010232), we get a palindrome (2531220221352).

The spelling of 2320100211120 in words is "two trillion, three hundred twenty billion, one hundred million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 761 804 1005 1072 1340 1522 1608 2010 2283 2680 3044 3216 3805 4020 4566 5360 6088 7610 8040 9132 11415 12176 15220 16080 18264 22830 30440 36528 45660 50987 60880 91320 101974 152961 182640 189599 203948 254935 305922 379198 407896 509870 568797 611844 758396 764805 815792 947995 1019740 1137594 1223688 1516792 1529610 1895990 2039480 2275188 2447376 2843985 3033584 3059220 3791980 4078960 4550376 5687970 6118440 7583960 9100752 11375940 12236880 12703133 15167920 22751880 25406266 38109399 45503760 50812532 63515665 76218798 101625064 127031330 144284839 152437596 190546995 203250128 254062660 288569678 304875192 381093990 432854517 508125320 577139356 609750384 721424195 762187980 865709034 1016250640 1154278712 1442848390 1524375960 1731418068 2164272585 2308557424 2885696780 3048751920 3462836136 4328545170 5771393560 6925672272 8657090340 9667084213 11542787120 17314180680 19334168426 29001252639 34628361360 38668336852 48335421065 58002505278 77336673704 96670842130 116005010556 145006263195 154673347408 193341684260 232010021112 290012526390 386683368520 464020042224 580025052780 773366737040 1160050105560 2320100211120