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2132797100 = 2252727111243
BaseRepresentation
bin111111100011111…
…1110011010101100
312111122020022121012
41333013332122230
513331444001400
6551345124352
7103565322230
oct17707763254
95448208535
102132797100
119a49aa035
124b63296b8
1327cb32025
141633865c0
15c7394d35
hex7f1fe6ac

2132797100 has 72 divisors (see below), whose sum is σ = 5309326848. Its totient is φ = 728481600.

The previous prime is 2132797097. The next prime is 2132797123. The reversal of 2132797100 is 17972312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184079 + ... + 195321.

Almost surely, 22132797100 is an apocalyptic number.

2132797100 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 2132797100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654663424).

2132797100 is an abundant number, since it is smaller than the sum of its proper divisors (3176529748).

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

2132797100 is a wasteful number, since it uses less digits than its factorization.

2132797100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11535 (or 11528 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The square root of 2132797100 is about 46182.2162742327. The cubic root of 2132797100 is about 1287.2113105209.

The spelling of 2132797100 in words is "two billion, one hundred thirty-two million, seven hundred ninety-seven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 271 350 542 700 1084 1355 1897 2710 3794 5420 6775 7588 9485 11243 13550 18970 22486 27100 37940 44972 47425 56215 78701 94850 112430 157402 189700 224860 281075 314804 393505 562150 787010 1124300 1574020 1967525 3046853 3935050 6093706 7870100 12187412 15234265 21327971 30468530 42655942 60937060 76171325 85311884 106639855 152342650 213279710 304685300 426559420 533199275 1066398550 2132797100