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2120322000 = 24353379551
BaseRepresentation
bin111111001100001…
…1000101111010000
312110202202111222110
41332120120233100
513320300301000
6550221505320
7103354303536
oct17630305720
95422674873
102120322000
11998959335
124b2112240
1327a384a04
1416185a156
15c622d850
hex7e618bd0

2120322000 has 160 divisors (see below), whose sum is σ = 7021407744. Its totient is φ = 550080000.

The previous prime is 2120321993. The next prime is 2120322007. The reversal of 2120322000 is 2230212.

2120322000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2120321993) and next prime (2120322007).

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 (2120322007) 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, 217225 + ... + 226775.

Almost surely, 22120322000 is an apocalyptic number.

2120322000 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 2120322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510703872).

2120322000 is an abundant number, since it is smaller than the sum of its proper divisors (4901085744).

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

2120322000 is a wasteful number, since it uses less digits than its factorization.

2120322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9614 (or 9598 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2120322000 is about 46046.9542966742. The cubic root of 2120322000 is about 1284.6966939472.

Adding to 2120322000 its reverse (2230212), we get a palindrome (2122552212).

The spelling of 2120322000 in words is "two billion, one hundred twenty million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 9551 11100 13875 14800 18500 19102 22200 27750 28653 37000 38204 44400 47755 55500 57306 74000 76408 95510 111000 114612 143265 152816 191020 222000 229224 238775 286530 353387 382040 458448 477550 573060 706774 716325 764080 955100 1060161 1146120 1193875 1413548 1432650 1766935 1910200 2120322 2292240 2387750 2827096 2865300 3533870 3581625 3820400 4240644 4775500 5300805 5654192 5730600 7067740 7163250 8481288 8834675 9551000 10601610 11461200 14135480 14326500 16962576 17669350 19102000 21203220 26504025 28270960 28653000 35338700 42406440 44173375 53008050 57306000 70677400 84812880 88346750 106016100 132520125 141354800 176693500 212032200 265040250 353387000 424064400 530080500 706774000 1060161000 2120322000