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2141113220 = 2252813311151
BaseRepresentation
bin111111110011110…
…1100101110000100
312112012212211011122
41333213230232010
513341111110340
6552243253112
7104026106411
oct17747545604
95465784148
102141113220
119a966a064
124b907a198
132817842cc
1416450d108
15c7e88db5
hex7f9ecb84

2141113220 has 48 divisors (see below), whose sum is σ = 4529903616. Its totient is φ = 850080000.

The previous prime is 2141113207. The next prime is 2141113231. The reversal of 2141113220 is 223111412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1859645 + ... + 1860795.

It is an arithmetic number, because the mean of its divisors is an integer number (94372992).

Almost surely, 22141113220 is an apocalyptic number.

2141113220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141113220 is an abundant number, since it is smaller than the sum of its proper divisors (2388790396).

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

2141113220 is a wasteful number, since it uses less digits than its factorization.

2141113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2141113220 is about 46272.1646349077. The cubic root of 2141113220 is about 1288.8821556272.

Adding to 2141113220 its reverse (223111412), we get a palindrome (2364224632).

The spelling of 2141113220 in words is "two billion, one hundred forty-one million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 281 331 562 662 1124 1151 1324 1405 1655 2302 2810 3310 4604 5620 5755 6620 11510 23020 93011 186022 323431 372044 380981 465055 646862 761962 930110 1293724 1523924 1617155 1860220 1904905 3234310 3809810 6468620 7619620 107055661 214111322 428222644 535278305 1070556610 2141113220