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2141220020 = 225107061001
BaseRepresentation
bin111111110100000…
…0110110010110100
312112020002020200012
41333220012302310
513341123020040
6552245435352
7104030032652
oct17750066264
95466066605
102141220020
119a9732325
124b910bb58
132817c0ac4
14164539dd2
15c7eaa865
hex7fa06cb4

2141220020 has 12 divisors (see below), whose sum is σ = 4496562084. Its totient is φ = 856488000.

The previous prime is 2141219999. The next prime is 2141220041. The reversal of 2141220020 is 200221412.

It is an interprime number because it is at equal distance from previous prime (2141219999) and next prime (2141220041).

It can be written as a sum of positive squares in 2 ways, for example, as 1199098384 + 942121636 = 34628^2 + 30694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2141219977 and 2141220004.

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 3 ways as a sum of consecutive naturals, for example, 53530481 + ... + 53530520.

It is an arithmetic number, because the mean of its divisors is an integer number (374713507).

Almost surely, 22141220020 is an apocalyptic number.

2141220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141220020 is an abundant number, since it is smaller than the sum of its proper divisors (2355342064).

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

2141220020 is a wasteful number, since it uses less digits than its factorization.

2141220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107061010 (or 107061008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2141220020 is about 46273.3186620541. The cubic root of 2141220020 is about 1288.9035853402.

Adding to 2141220020 its reverse (200221412), we get a palindrome (2341441432).

The spelling of 2141220020 in words is "two billion, one hundred forty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 107061001 214122002 428244004 535305005 1070610010 2141220020