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2100211220 = 2251133132969
BaseRepresentation
bin111110100101110…
…1010111000010100
312102100220210011202
41331023222320110
513300123224340
6544222452032
7103021333532
oct17513527024
95370823152
102100211220
11988572858
124a7434018
13276163043
1415cd03152
15c45a9c15
hex7d2eae14

2100211220 has 48 divisors (see below), whose sum is σ = 4465193040. Its totient is φ = 829710336.

The previous prime is 2100211207. The next prime is 2100211249. The reversal of 2100211220 is 221120012.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1674119056 + 426092164 = 40916^2 + 20642^2 .

It is a super-2 number, since 2×21002112202 = 8821774337227776800, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 705896 + ... + 708864.

It is an arithmetic number, because the mean of its divisors is an integer number (93024855).

Almost surely, 22100211220 is an apocalyptic number.

2100211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100211220 is an abundant number, since it is smaller than the sum of its proper divisors (2364981820).

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

2100211220 is a wasteful number, since it uses less digits than its factorization.

2100211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2100211220 is about 45828.0614907504. The cubic root of 2100211220 is about 1280.6220975055.

Adding to 2100211220 its reverse (221120012), we get a palindrome (2321331232).

The spelling of 2100211220 in words is "two billion, one hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 313 452 565 626 1130 1252 1565 2260 2969 3130 5938 6260 11876 14845 29690 35369 59380 70738 141476 176845 335497 353690 670994 707380 929297 1341988 1677485 1858594 3354970 3717188 4646485 6709940 9292970 18585940 105010561 210021122 420042244 525052805 1050105610 2100211220