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2000211120 = 243253775083
BaseRepresentation
bin111011100111000…
…1100110010110000
312011101202020211100
41313032030302300
513044023223440
6530251244400
7100365341205
oct16716146260
95141666740
102000211120
11937081246
12479a49700
1325b51c49b
1414d911cac
15ba905230
hex7738ccb0

2000211120 has 120 divisors (see below), whose sum is σ = 6899018256. Its totient is φ = 518966784.

The previous prime is 2000211119. The next prime is 2000211121. The reversal of 2000211120 is 211120002.

It is an interprime number because it is at equal distance from previous prime (2000211119) and next prime (2000211121).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2000211121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10902 + ... + 64181.

Almost surely, 22000211120 is an apocalyptic number.

2000211120 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 2000211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449509128).

2000211120 is an abundant number, since it is smaller than the sum of its proper divisors (4898807136).

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

2000211120 is a wasteful number, since it uses less digits than its factorization.

2000211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75139 (or 75130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2000211120 is about 44723.7198810653. The cubic root of 2000211120 is about 1259.9653807571.

Adding to 2000211120 its reverse (211120002), we get a palindrome (2211331122).

The spelling of 2000211120 in words is "two billion, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 26640 75083 150166 225249 300332 375415 450498 600664 675747 750830 900996 1126245 1201328 1351494 1501660 1801992 2252490 2702988 2778071 3003320 3378735 3603984 4504980 5405976 5556142 6006640 6757470 8334213 9009960 10811952 11112284 13514940 13890355 16668426 18019920 22224568 25002639 27029880 27780710 33336852 41671065 44449136 50005278 54059760 55561420 66673704 83342130 100010556 111122840 125013195 133347408 166684260 200021112 222245680 250026390 333368520 400042224 500052780 666737040 1000105560 2000211120