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2132120320 = 28511151429
BaseRepresentation
bin111111100010101…
…1001001100000000
312111120221221020021
41333011121030000
513331310322240
6551322423224
7103556503141
oct17705311400
95446857207
102132120320
119a4587610
124b6061b14
1327c955c75
1416324bac8
15c72ae54a
hex7f159300

2132120320 has 72 divisors (see below), whose sum is σ = 5571412560. Its totient is φ = 775311360.

The previous prime is 2132120317. The next prime is 2132120357. The reversal of 2132120320 is 230212312.

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 = 2132120294 and 2132120303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61635 + ... + 89794.

It is an arithmetic number, because the mean of its divisors is an integer number (77380730).

Almost surely, 22132120320 is an apocalyptic number.

2132120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132120320 is an abundant number, since it is smaller than the sum of its proper divisors (3439292240).

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

2132120320 is a wasteful number, since it uses less digits than its factorization.

2132120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151461 (or 151447 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2132120320 is about 46174.8884135089. Note that the first 3 decimals coincide. The cubic root of 2132120320 is about 1287.0751433202.

Adding to 2132120320 its reverse (230212312), we get a palindrome (2362332632).

The spelling of 2132120320 in words is "two billion, one hundred thirty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 151429 302858 605716 757145 1211432 1514290 1665719 2422864 3028580 3331438 4845728 6057160 6662876 8328595 9691456 12114320 13325752 16657190 19382912 24228640 26651504 33314380 38765824 48457280 53303008 66628760 96914560 106606016 133257520 193829120 213212032 266515040 426424064 533030080 1066060160 2132120320