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2127930129 = 331329349599
BaseRepresentation
bin111111011010101…
…1010001100010001
312111022002001101000
41332311122030101
513324222231004
6551052532213
7103506051633
oct17665321421
95438061330
102127930129
119a2185446
124b4781069
1327bb19970
1416287aa53
15c6c32c39
hex7ed5a311

2127930129 has 64 divisors (see below), whose sum is σ = 3528000000. Its totient is φ = 1258612992.

The previous prime is 2127930113. The next prime is 2127930131. The reversal of 2127930129 is 9210397212.

It is not a de Polignac number, because 2127930129 - 24 = 2127930113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2127930093 and 2127930102.

It is not an unprimeable number, because it can be changed into a prime (2127930139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3552172 + ... + 3552770.

It is an arithmetic number, because the mean of its divisors is an integer number (55125000).

Almost surely, 22127930129 is an apocalyptic number.

2127930129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2127930129 is a deficient number, since it is larger than the sum of its proper divisors (1400069871).

2127930129 is a wasteful number, since it uses less digits than its factorization.

2127930129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2127930129 is about 46129.4930494581. The cubic root of 2127930129 is about 1286.2314405434.

The spelling of 2127930129 in words is "two billion, one hundred twenty-seven million, nine hundred thirty thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 27 29 39 87 117 261 349 351 377 599 783 1047 1131 1797 3141 3393 4537 5391 7787 9423 10121 10179 13611 16173 17371 23361 30363 40833 52113 70083 91089 122499 131573 156339 209051 210249 225823 273267 394719 469017 627153 677469 1184157 1881459 2032407 2717663 3552471 5644377 6062479 6097221 8152989 18187437 24458967 54562311 73376901 78812227 163686933 236436681 709310043 2127930129