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2132132120 = 2351913920183
BaseRepresentation
bin111111100010101…
…1100000100011000
312111120222112102022
41333011130010120
513331311211440
6551322554012
7103556552426
oct17705340430
95446875368
102132132120
119a4595468
124b6068908
1327c95b451
14163252116
15c72b2cb5
hex7f15c118

2132132120 has 64 divisors (see below), whose sum is σ = 5086368000. Its totient is φ = 802113408.

The previous prime is 2132132087. The next prime is 2132132159. The reversal of 2132132120 is 212312312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95549 + ... + 115731.

It is an arithmetic number, because the mean of its divisors is an integer number (79474500).

Almost surely, 22132132120 is an apocalyptic number.

2132132120 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 2132132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543184000).

2132132120 is an abundant number, since it is smaller than the sum of its proper divisors (2954235880).

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

2132132120 is a wasteful number, since it uses less digits than its factorization.

2132132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20352 (or 20348 counting only the distinct ones).

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

The square root of 2132132120 is about 46175.0161884108. The cubic root of 2132132120 is about 1287.0775177107.

Adding to 2132132120 its reverse (212312312), we get a palindrome (2344444432).

The spelling of 2132132120 in words is "two billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 139 152 190 278 380 556 695 760 1112 1390 2641 2780 5282 5560 10564 13205 20183 21128 26410 40366 52820 80732 100915 105640 161464 201830 383477 403660 766954 807320 1533908 1917385 2805437 3067816 3834770 5610874 7669540 11221748 14027185 15339080 22443496 28054370 53303303 56108740 106606606 112217480 213213212 266516515 426426424 533033030 1066066060 2132132120