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2131340320 = 25517246093
BaseRepresentation
bin111111100001001…
…1010110000100000
312111112111022021101
41333002122300200
513331110342240
6551254004144
7103550044114
oct17702326040
95445438241
102131340320
119a40a458a
124b5946654
1327c741c25
141630c7744
15c71a839a
hex7f09ac20

2131340320 has 72 divisors (see below), whose sum is σ = 5349024324. Its totient is φ = 802369536.

The previous prime is 2131340311. The next prime is 2131340359. The reversal of 2131340320 is 230431312.

It can be written as a sum of positive squares in 6 ways, for example, as 1520064144 + 611276176 = 38988^2 + 24724^2 .

It is a super-2 number, since 2×21313403202 = 9085223119315404800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23194 + ... + 69286.

Almost surely, 22131340320 is an apocalyptic number.

2131340320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674512162).

2131340320 is an abundant number, since it is smaller than the sum of its proper divisors (3217684004).

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

2131340320 is a wasteful number, since it uses less digits than its factorization.

2131340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46142 (or 46117 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2131340320 is about 46166.4414916290. The cubic root of 2131340320 is about 1286.9181726512.

Adding to 2131340320 its reverse (230431312), we get a palindrome (2361771632).

The spelling of 2131340320 in words is "two billion, one hundred thirty-one million, three hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 289 340 544 578 680 1156 1360 1445 2312 2720 2890 4624 5780 9248 11560 23120 46093 46240 92186 184372 230465 368744 460930 737488 783581 921860 1474976 1567162 1843720 3134324 3687440 3917905 6268648 7374880 7835810 12537296 13320877 15671620 25074592 26641754 31343240 53283508 62686480 66604385 106567016 125372960 133208770 213134032 266417540 426268064 532835080 1065670160 2131340320