Search a number
-
+
127131101700 = 223521724927667
BaseRepresentation
bin111011001100110011…
…0101010101000000100
3110011010222121010000020
41312121212222220010
54040331030223300
6134223032415140
712120266351241
oct1663146525004
9404128533006
10127131101700
1149a092133a9
122077bb474b0
13bcb0703385
14622046c5c8
1534910698a0
hex1d999aaa04

127131101700 has 72 divisors (see below), whose sum is σ = 389469884832. Its totient is φ = 31907412480.

The previous prime is 127131101633. The next prime is 127131101701. The reversal of 127131101700 is 7101131721.

It is not an unprimeable number, because it can be changed into a prime (127131101701) 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 23 ways as a sum of consecutive naturals, for example, 12458734 + ... + 12468933.

It is an arithmetic number, because the mean of its divisors is an integer number (5409303956).

Almost surely, 2127131101700 is an apocalyptic number.

127131101700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

127131101700 is an abundant number, since it is smaller than the sum of its proper divisors (262338783132).

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

127131101700 is a wasteful number, since it uses less digits than its factorization.

127131101700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24927701 (or 24927694 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 24.

The spelling of 127131101700 in words is "one hundred twenty-seven billion, one hundred thirty-one million, one hundred one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 24927667 49855334 74783001 99710668 124638335 149566002 249276670 299132004 373915005 423770339 498553340 623191675 747830010 847540678 1246383350 1271311017 1495660020 1695081356 1869575025 2118851695 2492766700 2542622034 3739150050 4237703390 5085244068 6356555085 7478300100 8475406780 10594258475 12713110170 21188516950 25426220340 31782775425 42377033900 63565550850 127131101700