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2120030100 = 22325212591871
BaseRepresentation
bin111111001011101…
…0001011110010100
312110202012200120100
41332113101132110
513320211430400
6550211334100
7103351646526
oct17627213624
95422180510
102120030100
11998779aa1
124b1bb1330
1327a2b1ba6
141617c1a16
15c61c2100
hex7e5d1794

2120030100 has 108 divisors (see below), whose sum is σ = 6653949120. Its totient is φ = 564590400.

The previous prime is 2120030069. The next prime is 2120030111. The reversal of 2120030100 is 10300212.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1132165 + ... + 1134035.

It is an arithmetic number, because the mean of its divisors is an integer number (61610640).

Almost surely, 22120030100 is an apocalyptic number.

2120030100 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 2120030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326974560).

2120030100 is an abundant number, since it is smaller than the sum of its proper divisors (4533919020).

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

2120030100 is a wasteful number, since it uses less digits than its factorization.

2120030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2120030100 is about 46043.7845968378. The cubic root of 2120030100 is about 1284.6377374656.

Adding to 2120030100 its reverse (10300212), we get a palindrome (2130330312).

The spelling of 2120030100 in words is "two billion, one hundred twenty million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1259 1871 2518 3742 3777 5036 5613 6295 7484 7554 9355 11226 11331 12590 15108 16839 18710 18885 22452 22662 25180 28065 31475 33678 37420 37770 45324 46775 56130 56655 62950 67356 75540 84195 93550 94425 112260 113310 125900 140325 168390 187100 188850 226620 280650 283275 336780 377700 420975 561300 566550 841950 1133100 1683900 2355589 4711178 7066767 9422356 11777945 14133534 21200301 23555890 28267068 35333835 42400602 47111780 58889725 70667670 84801204 106001505 117779450 141335340 176669175 212003010 235558900 353338350 424006020 530007525 706676700 1060015050 2120030100