Search a number
-
+
2121100020 = 22345132329151
BaseRepresentation
bin111111001101101…
…0110101011110100
312110211020001020000
41332123112223310
513321000200040
6550250311300
7103364024034
oct17633265364
95424201200
102121100020
1199933a926
124b2428530
1327a597b90
141619bd8c4
15c6334130
hex7e6d6af4

2121100020 has 480 divisors, whose sum is σ = 7786437120. Its totient is φ = 479001600.

The previous prime is 2121100019. The next prime is 2121100021. The reversal of 2121100020 is 200011212.

It is an interprime number because it is at equal distance from previous prime (2121100019) and next prime (2121100021).

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 = 2121099975 and 2121100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121100021) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14046945 + ... + 14047095.

It is an arithmetic number, because the mean of its divisors is an integer number (16221744).

Almost surely, 22121100020 is an apocalyptic number.

2121100020 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 2121100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893218560).

2121100020 is an abundant number, since it is smaller than the sum of its proper divisors (5665337100).

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

2121100020 is a wasteful number, since it uses less digits than its factorization.

2121100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

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

The square root of 2121100020 is about 46055.4016375930. The cubic root of 2121100020 is about 1284.8538080544.

Adding to 2121100020 its reverse (200011212), we get a palindrome (2321111232).

The spelling of 2121100020 in words is "two billion, one hundred twenty-one million, one hundred thousand, twenty".