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2131041040 = 24567339581
BaseRepresentation
bin111111100000101…
…0001101100010000
312111111221002201221
41333001101230100
513331021303130
6551243334424
7103544356432
oct17701215420
95444832657
102131041040
119a3a0a747
124b5821414
1327c66893b
1416304a652
15c714987a
hex7f051b10

2131041040 has 40 divisors (see below), whose sum is σ = 4962157848. Its totient is φ = 851128320.

The previous prime is 2131040993. The next prime is 2131041041. The reversal of 2131041040 is 401401312.

It can be written as a sum of positive squares in 4 ways, for example, as 217503504 + 1913537536 = 14748^2 + 43744^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×21310410403 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2131041041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34050 + ... + 73630.

Almost surely, 22131041040 is an apocalyptic number.

2131041040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131041040 is an abundant number, since it is smaller than the sum of its proper divisors (2831116808).

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

2131041040 is a wasteful number, since it uses less digits than its factorization.

2131041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40267 (or 40261 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2131041040 is about 46163.2000623874. The cubic root of 2131041040 is about 1286.8579340468.

Adding to 2131041040 its reverse (401401312), we get a palindrome (2532442352).

The spelling of 2131041040 in words is "two billion, one hundred thirty-one million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 673 1346 2692 3365 5384 6730 10768 13460 26920 39581 53840 79162 158324 197905 316648 395810 633296 791620 1583240 3166480 26638013 53276026 106552052 133190065 213104104 266380130 426208208 532760260 1065520520 2131041040