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2132112320 = 265133971291
BaseRepresentation
bin111111100010101…
…0111001111000000
312111120221112020222
41333011113033000
513331310043240
6551322322212
7103556440622
oct17705271700
95446845228
102132112320
119a45815a8
124b6059368
1327c952430
14163248c12
15c72abeb5
hex7f1573c0

2132112320 has 112 divisors (see below), whose sum is σ = 5485656288. Its totient is φ = 784650240.

The previous prime is 2132112319. The next prime is 2132112329. The reversal of 2132112320 is 232112312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132112329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650875 + ... + 1652165.

It is an arithmetic number, because the mean of its divisors is an integer number (48979074).

Almost surely, 22132112320 is an apocalyptic number.

2132112320 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 2132112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742828144).

2132112320 is an abundant number, since it is smaller than the sum of its proper divisors (3353543968).

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

2132112320 is a wasteful number, since it uses less digits than its factorization.

2132112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2132112320 is about 46174.8017862557. The cubic root of 2132112320 is about 1287.0735335589.

Adding to 2132112320 its reverse (232112312), we get a palindrome (2364224632).

The spelling of 2132112320 in words is "two billion, one hundred thirty-two million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 397 416 520 794 832 1040 1291 1588 1985 2080 2582 3176 3970 4160 5161 5164 6352 6455 7940 10322 10328 12704 12910 15880 16783 20644 20656 25408 25805 25820 31760 33566 41288 41312 51610 51640 63520 67132 82576 82624 83915 103220 103280 127040 134264 165152 167830 206440 206560 268528 330304 335660 412880 413120 512527 537056 671320 825760 1025054 1074112 1342640 1651520 2050108 2562635 2685280 4100216 5125270 5370560 6662851 8200432 10250540 13325702 16400864 20501080 26651404 32801728 33314255 41002160 53302808 66628510 82004320 106605616 133257020 164008640 213211232 266514040 426422464 533028080 1066056160 2132112320