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2211070120 = 235723473251
BaseRepresentation
bin1000001111001010…
…0100000010101000
312201002111222222221
42003302210002220
514012013220440
61003222523424
7105535533400
oct20362440250
95632458887
102211070120
11a35100786
12518596574
1329310931c
1416d91d800
15ce1a6d4a
hex83ca40a8

2211070120 has 96 divisors (see below), whose sum is σ = 5805600480. Its totient is φ = 755664000.

The previous prime is 2211070097. The next prime is 2211070151. The reversal of 2211070120 is 210701122.

It is a junction number, because it is equal to n+sod(n) for n = 2211070094 and 2211070103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678495 + ... + 681745.

It is an arithmetic number, because the mean of its divisors is an integer number (60475005).

Almost surely, 22211070120 is an apocalyptic number.

2211070120 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 2211070120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2902800240).

2211070120 is an abundant number, since it is smaller than the sum of its proper divisors (3594530360).

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

2211070120 is a wasteful number, since it uses less digits than its factorization.

2211070120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 2211070120 is about 47022.0173961092. The cubic root of 2211070120 is about 1302.7692682959.

Adding to 2211070120 its reverse (210701122), we get a palindrome (2421771242).

The spelling of 2211070120 in words is "two billion, two hundred eleven million, seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 347 392 490 694 980 1388 1735 1960 2429 2776 3251 3470 4858 6502 6940 9716 12145 13004 13880 16255 17003 19432 22757 24290 26008 32510 34006 45514 48580 65020 68012 85015 91028 97160 113785 130040 136024 159299 170030 182056 227570 318598 340060 455140 637196 680120 796495 910280 1128097 1274392 1592990 2256194 3185980 4512388 5640485 6371960 7896679 9024776 11280970 15793358 22561940 31586716 39483395 45123880 55276753 63173432 78966790 110553506 157933580 221107012 276383765 315867160 442214024 552767530 1105535060 2211070120