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2120301300 = 22352131075081
BaseRepresentation
bin111111001100001…
…0011101011110100
312110202201110120210
41332120103223310
513320244120200
6550221225420
7103354156305
oct17630235364
95422643523
102120301300
11998944827
124b2102270
1327a378470
141618527ac
15c6227650
hex7e613af4

2120301300 has 144 divisors (see below), whose sum is σ = 6669698112. Its totient is φ = 516940800.

The previous prime is 2120301283. The next prime is 2120301301. The reversal of 2120301300 is 31030212.

It is a happy number.

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 (2120301301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414760 + ... + 419840.

It is an arithmetic number, because the mean of its divisors is an integer number (46317348).

Almost surely, 22120301300 is an apocalyptic number.

2120301300 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 2120301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3334849056).

2120301300 is an abundant number, since it is smaller than the sum of its proper divisors (4549396812).

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

2120301300 is a wasteful number, since it uses less digits than its factorization.

2120301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5218 (or 5211 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2120301300 is about 46046.7295255591. The cubic root of 2120301300 is about 1284.6925132444.

Adding to 2120301300 its reverse (31030212), we get a palindrome (2151331512).

The spelling of 2120301300 in words is "two billion, one hundred twenty million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 107 130 150 156 195 214 260 300 321 325 390 428 535 642 650 780 975 1070 1284 1300 1391 1605 1950 2140 2675 2782 3210 3900 4173 5081 5350 5564 6420 6955 8025 8346 10162 10700 13910 15243 16050 16692 20324 20865 25405 27820 30486 32100 34775 41730 50810 60972 66053 69550 76215 83460 101620 104325 127025 132106 139100 152430 198159 208650 254050 264212 304860 330265 381075 396318 417300 508100 543667 660530 762150 792636 990795 1087334 1321060 1524300 1631001 1651325 1981590 2174668 2718335 3262002 3302650 3963180 4953975 5436670 6524004 6605300 7067671 8155005 9907950 10873340 13591675 14135342 16310010 19815900 21203013 27183350 28270684 32620020 35338355 40775025 42406026 54366700 70676710 81550050 84812052 106015065 141353420 163100100 176691775 212030130 353383550 424060260 530075325 706767100 1060150650 2120301300