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2132140120 = 2351138912457
BaseRepresentation
bin111111100010101…
…1110000001011000
312111120222221101121
41333011132001120
513331311440440
6551323055024
7103556614645
oct17705360130
95446887347
102132140120
119a45a0480
124b6071474
1327c961c96
14163254dcc
15c72b534a
hex7f15e058

2132140120 has 64 divisors (see below), whose sum is σ = 5247309600. Its totient is φ = 773268480.

The previous prime is 2132140099. The next prime is 2132140123. The reversal of 2132140120 is 210412312.

It is a super-2 number, since 2×21321401202 = 9092042982627228800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2132140094 and 2132140103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132140123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164932 + ... + 177388.

Almost surely, 22132140120 is an apocalyptic number.

2132140120 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 2132140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623654800).

2132140120 is an abundant number, since it is smaller than the sum of its proper divisors (3115169480).

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

2132140120 is a wasteful number, since it uses less digits than its factorization.

2132140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12868 (or 12864 counting only the distinct ones).

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

The square root of 2132140120 is about 46175.1028152618. The cubic root of 2132140120 is about 1287.0791274620.

Adding to 2132140120 its reverse (210412312), we get a palindrome (2342552432).

The spelling of 2132140120 in words is "two billion, one hundred thirty-two million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 389 440 778 1556 1945 3112 3890 4279 7780 8558 12457 15560 17116 21395 24914 34232 42790 49828 62285 85580 99656 124570 137027 171160 249140 274054 498280 548108 685135 1096216 1370270 2740540 4845773 5481080 9691546 19383092 24228865 38766184 48457730 53303503 96915460 106607006 193830920 213214012 266517515 426428024 533035030 1066070060 2132140120