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2131411120 = 24526642639
BaseRepresentation
bin111111100001010…
…1100000010110000
312111112121220101121
41333002230002300
513331120123440
6551255312024
7103550460406
oct17702540260
95445556347
102131411120
119a41427a3
124b597b614
1327c768217
14163105476
15c71be34a
hex7f0ac0b0

2131411120 has 20 divisors (see below), whose sum is σ = 4955531040. Its totient is φ = 852564416.

The previous prime is 2131411111. The next prime is 2131411141. The reversal of 2131411120 is 211141312.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2131411094 and 2131411103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13321240 + ... + 13321399.

It is an arithmetic number, because the mean of its divisors is an integer number (247776552).

Almost surely, 22131411120 is an apocalyptic number.

2131411120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131411120 is an abundant number, since it is smaller than the sum of its proper divisors (2824119920).

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

2131411120 is a wasteful number, since it uses less digits than its factorization.

2131411120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26642652 (or 26642646 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2131411120 is about 46167.2082760047. The cubic root of 2131411120 is about 1286.9324223383.

Adding to 2131411120 its reverse (211141312), we get a palindrome (2342552432).

The spelling of 2131411120 in words is "two billion, one hundred thirty-one million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26642639 53285278 106570556 133213195 213141112 266426390 426282224 532852780 1065705560 2131411120