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2201112210120 = 2335227491916427
BaseRepresentation
bin100000000001111100100…
…000101110101011001000
321210102110021221122220220
4200001330200232223020
5242030334211210440
64403102121350040
7315011420041125
oct40017440565310
97712407848826
102201112210120
117795395069aa
122b6710038320
1312c74411aa35
147876a56b74c
153c3c8dea8d0
hex2007c82eac8

2201112210120 has 128 divisors (see below), whose sum is σ = 6634178380800. Its totient is φ = 584223147776.

The previous prime is 2201112210113. The next prime is 2201112210137. The reversal of 2201112210120 is 210122111022.

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 2201112210120.

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, 133985347 + ... + 134001773.

It is an arithmetic number, because the mean of its divisors is an integer number (51829518600).

Almost surely, 22201112210120 is an apocalyptic number.

2201112210120 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 2201112210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317089190400).

2201112210120 is an abundant number, since it is smaller than the sum of its proper divisors (4433066170680).

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

2201112210120 is a wasteful number, since it uses less digits than its factorization.

2201112210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21587 (or 21583 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2201112210120 its reverse (210122111022), we get a palindrome (2411234321142).

The spelling of 2201112210120 in words is "two trillion, two hundred one billion, one hundred twelve million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 227 454 681 908 1135 1362 1816 2270 2724 3405 4540 4919 5448 6810 9080 9838 13620 14757 16427 19676 24595 27240 29514 32854 39352 49190 49281 59028 65708 73785 82135 98380 98562 118056 131416 147570 164270 196760 197124 246405 295140 328540 394248 492810 590280 657080 985620 1116613 1971240 2233226 3349839 3728929 4466452 5583065 6699678 7457858 8932904 11166130 11186787 13399356 14915716 16749195 18644645 22332260 22373574 26798712 29831432 33498390 37289290 44664520 44747148 55933935 66996780 74578580 80804413 89494296 111867870 133993560 149157160 161608826 223735740 242413239 323217652 404022065 447471480 484826478 646435304 808044130 969652956 1212066195 1616088260 1939305912 2424132390 3232176520 4848264780 9696529560 18342601751 36685203502 55027805253 73370407004 91713008755 110055610506 146740814008 183426017510 220111221012 275139026265 366852035020 440222442024 550278052530 733704070040 1100556105060 2201112210120