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2132003120 = 2451319110733
BaseRepresentation
bin111111100010011…
…1100100100110000
312111120201222110112
41333010330210300
513331243044440
6551320120452
7103555504352
oct17704744460
95446658415
102132003120
119a4507555
124b6006128
1327c914810
1416321b0d2
15c7289965
hex7f13c930

2132003120 has 80 divisors (see below), whose sum is σ = 5366656512. Its totient is φ = 783006720.

The previous prime is 2132003113. The next prime is 2132003161. The reversal of 2132003120 is 213002312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2132003095 and 2132003104.

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, 193274 + ... + 204006.

Almost surely, 22132003120 is an apocalyptic number.

2132003120 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 2132003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683328256).

2132003120 is an abundant number, since it is smaller than the sum of its proper divisors (3234653392).

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

2132003120 is a wasteful number, since it uses less digits than its factorization.

2132003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10950 (or 10944 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2132003120 is about 46173.6193079988. The cubic root of 2132003120 is about 1287.0515599152.

Adding to 2132003120 its reverse (213002312), we get a palindrome (2345005432).

The spelling of 2132003120 in words is "two billion, one hundred thirty-two million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 191 208 260 382 520 764 955 1040 1528 1910 2483 3056 3820 4966 7640 9932 10733 12415 15280 19864 21466 24830 39728 42932 49660 53665 85864 99320 107330 139529 171728 198640 214660 279058 429320 558116 697645 858640 1116232 1395290 2050003 2232464 2790580 4100006 5581160 8200012 10250015 11162320 16400024 20500030 26650039 32800048 41000060 53300078 82000120 106600156 133250195 164000240 213200312 266500390 426400624 533000780 1066001560 2132003120