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2132120000 = 2654151353
BaseRepresentation
bin111111100010101…
…1001000111000000
312111120221220210102
41333011121013000
513331310320000
6551322421532
7103556502203
oct17705310700
95446856712
102132120000
119a458734a
124b60618a8
1327c955a8a
1416324b93a
15c72ae3d5
hex7f1591c0

2132120000 has 140 divisors (see below), whose sum is σ = 5337054096. Its totient is φ = 844800000.

The previous prime is 2132119961. The next prime is 2132120051. The reversal of 2132120000 is 212312.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6039824 + ... + 6040176.

Almost surely, 22132120000 is an apocalyptic number.

2132120000 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 2132120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668527048).

2132120000 is an abundant number, since it is smaller than the sum of its proper divisors (3204934096).

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

2132120000 is an equidigital number, since it uses as much as digits as its factorization.

2132120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2132120000 is about 46174.8849484219. The cubic root of 2132120000 is about 1287.0750789298.

Adding to 2132120000 its reverse (212312), we get a palindrome (2132332312).

The spelling of 2132120000 in words is "two billion, one hundred thirty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 151 160 200 250 302 320 353 400 500 604 625 706 755 800 1000 1208 1250 1412 1510 1600 1765 2000 2416 2500 2824 3020 3530 3775 4000 4832 5000 5648 6040 7060 7550 8000 8825 9664 10000 11296 12080 14120 15100 17650 18875 20000 22592 24160 28240 30200 35300 37750 40000 44125 48320 53303 56480 60400 70600 75500 88250 94375 106606 112960 120800 141200 151000 176500 188750 213212 220625 241600 266515 282400 302000 353000 377500 426424 441250 533030 564800 604000 706000 755000 852848 882500 1066060 1208000 1332575 1412000 1510000 1705696 1765000 2132120 2665150 2824000 3020000 3411392 3530000 4264240 5330300 6040000 6662875 7060000 8528480 10660600 13325750 14120000 17056960 21321200 26651500 33314375 42642400 53303000 66628750 85284800 106606000 133257500 213212000 266515000 426424000 533030000 1066060000 2132120000