Search a number
-
+
2101112211000 = 233531163670067
BaseRepresentation
bin11110100100110100000…
…011000000011000111000
321102212100010022100212210
4132210310003000120320
5233411034211223000
64245123154335120
7304541343055155
oct36446403003070
97385303270783
102101112211000
11740093081530
1229b26228a4a0
1312319860b81a
14739a150b22c
15399c4bb1350
hex1e9340c0638

2101112211000 has 128 divisors (see below), whose sum is σ = 7151422037760. Its totient is φ = 509360528000.

The previous prime is 2101112210917. The next prime is 2101112211001. The reversal of 2101112211000 is 1122111012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101112211001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31802034 + ... + 31868033.

It is an arithmetic number, because the mean of its divisors is an integer number (55870484670).

Almost surely, 22101112211000 is an apocalyptic number.

2101112211000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101112211000 is an abundant number, since it is smaller than the sum of its proper divisors (5050309826760).

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

2101112211000 is a wasteful number, since it uses less digits than its factorization.

2101112211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63670102 (or 63670088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101112211000 its reverse (1122111012), we get a palindrome (2102234322012).

The spelling of 2101112211000 in words is "two trillion, one hundred one billion, one hundred twelve million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 63670067 127340134 191010201 254680268 318350335 382020402 509360536 636700670 700370737 764040804 955051005 1273401340 1400741474 1528081608 1591751675 1910102010 2101112211 2546802680 2801482948 3183503350 3501853685 3820204020 4202224422 4775255025 5602965896 6367006700 7003707370 7640408040 7958758375 8404448844 9550510050 10505561055 12734013400 14007414740 15917516750 16808897688 17509268425 19101020100 21011122110 23876275125 28014829480 31835033500 35018536850 38202040200 42022244220 47752550250 52527805275 63670067000 70037073700 84044488440 87546342125 95505100500 105055610550 140074147400 175092684250 191010201000 210111221100 262639026375 350185368500 420222442200 525278052750 700370737000 1050556105500 2101112211000