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2120011020 = 2232594712437
BaseRepresentation
bin111111001011100…
…1100110100001100
312110202011201101200
41332113030310030
513320210323040
6550211105500
7103351540101
oct17627146414
95422151350
102120011020
11998766726
124b1ba2290
1327a2a62ba
141617b8aa8
15c61bb630
hex7e5ccd0c

2120011020 has 72 divisors (see below), whose sum is σ = 6438008304. Its totient is φ = 564693888.

The previous prime is 2120011001. The next prime is 2120011079. The reversal of 2120011020 is 201100212.

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

It is a junction number, because it is equal to n+sod(n) for n = 2120010993 and 2120011011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164242 + ... + 176678.

It is an arithmetic number, because the mean of its divisors is an integer number (89416782).

Almost surely, 22120011020 is an apocalyptic number.

2120011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120011020 is an abundant number, since it is smaller than the sum of its proper divisors (4317997284).

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

2120011020 is a wasteful number, since it uses less digits than its factorization.

2120011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13399 (or 13394 counting only the distinct ones).

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

The square root of 2120011020 is about 46043.5774022827. The cubic root of 2120011020 is about 1284.6338835955.

Adding to 2120011020 its reverse (201100212), we get a palindrome (2321111232).

The spelling of 2120011020 in words is "two billion, one hundred twenty million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 947 1894 2841 3788 4735 5682 8523 9470 11364 12437 14205 17046 18940 24874 28410 34092 37311 42615 49748 56820 62185 74622 85230 111933 124370 149244 170460 186555 223866 248740 373110 447732 559665 746220 1119330 2238660 11777839 23555678 35333517 47111356 58889195 70667034 106000551 117778390 141334068 176667585 212001102 235556780 353335170 424002204 530002755 706670340 1060005510 2120011020