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2101220000 = 2554119551
BaseRepresentation
bin111110100111110…
…0001001010100000
312102102211000221222
41331033201022200
513300403020000
6544300234212
7103033034555
oct17517411240
95372730858
102101220000
119890a1760
124a783b968
13276427259
1415d0c6a2c
15c4708a85
hex7d3e12a0

2101220000 has 120 divisors (see below), whose sum is σ = 5639844672. Its totient is φ = 764000000.

The previous prime is 2101219997. The next prime is 2101220003. The reversal of 2101220000 is 221012.

It is an interprime number because it is at equal distance from previous prime (2101219997) and next prime (2101220003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2101220000.

It is not an unprimeable number, because it can be changed into a prime (2101220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 215225 + ... + 224775.

Almost surely, 22101220000 is an apocalyptic number.

2101220000 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 2101220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819922336).

2101220000 is an abundant number, since it is smaller than the sum of its proper divisors (3538624672).

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

2101220000 is an equidigital number, since it uses as much as digits as its factorization.

2101220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 9569 counting only the distinct ones).

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

The square root of 2101220000 is about 45839.0663081176. The cubic root of 2101220000 is about 1280.8271021521.

Adding to 2101220000 its reverse (221012), we get a palindrome (2101441012).

The spelling of 2101220000 in words is "two billion, one hundred one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 9551 10000 11000 13750 19102 20000 22000 27500 38204 44000 47755 55000 76408 95510 105061 110000 152816 191020 210122 220000 238775 305632 382040 420244 477550 525305 764080 840488 955100 1050610 1193875 1528160 1680976 1910200 2101220 2387750 2626525 3361952 3820400 4202440 4775500 5253050 5969375 7640800 8404880 9551000 10506100 11938750 13132625 16809760 19102000 21012200 23877500 26265250 38204000 42024400 47755000 52530500 65663125 84048800 95510000 105061000 131326250 191020000 210122000 262652500 420244000 525305000 1050610000 2101220000