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2141071320 = 233583214967
BaseRepresentation
bin111111110011110…
…0010011111011000
312112012210200200210
41333213202133120
513341103240240
6552242331120
7104025543303
oct17747423730
95465720623
102141071320
119a9640633
124b9059aa0
1328176b20b
141644dbb3a
15c7e7b780
hex7f9e27d8

2141071320 has 64 divisors (see below), whose sum is σ = 6500632320. Its totient is φ = 564070784.

The previous prime is 2141071319. The next prime is 2141071321. The reversal of 2141071320 is 231701412.

It is an interprime number because it is at equal distance from previous prime (2141071319) and next prime (2141071321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141071321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97524 + ... + 117443.

It is an arithmetic number, because the mean of its divisors is an integer number (101572380).

Almost surely, 22141071320 is an apocalyptic number.

2141071320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141071320 is an abundant number, since it is smaller than the sum of its proper divisors (4359561000).

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

2141071320 is a wasteful number, since it uses less digits than its factorization.

2141071320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215064 (or 215060 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2141071320 is about 46271.7118766963. The cubic root of 2141071320 is about 1288.8737480826.

Adding to 2141071320 its reverse (231701412), we get a palindrome (2372772732).

The spelling of 2141071320 in words is "two billion, one hundred forty-one million, seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 214967 429934 644901 859868 1074835 1289802 1719736 2149670 2579604 3224505 4299340 5159208 6449010 8598680 12898020 17842261 25796040 35684522 53526783 71369044 89211305 107053566 142738088 178422610 214107132 267633915 356845220 428214264 535267830 713690440 1070535660 2141071320