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130142421123 = 3111310122313469
BaseRepresentation
bin111100100110100010…
…1111100000010000011
3110102220211220222200020
41321031011330002003
54113012424433443
6135441523424523
712255023220201
oct1711505740203
9412824828606
10130142421123
1150214005240
1221280525143
13c37054bba0
146428380071
1535ba5e7583
hex1e4d17c083

130142421123 has 64 divisors (see below), whose sum is σ = 206816440320. Its totient is φ = 71757504000.

The previous prime is 130142421037. The next prime is 130142421161. The reversal of 130142421123 is 321124241031.

It is not a de Polignac number, because 130142421123 - 214 = 130142404739 is a prime.

It is a super-2 number, since 2×1301424211232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130142421093 and 130142421102.

It is not an unprimeable number, because it can be changed into a prime (130142420123) 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, 9655633 + ... + 9669101.

It is an arithmetic number, because the mean of its divisors is an integer number (3231506880).

Almost surely, 2130142421123 is an apocalyptic number.

130142421123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

130142421123 is a deficient number, since it is larger than the sum of its proper divisors (76674019197).

130142421123 is a wasteful number, since it uses less digits than its factorization.

130142421123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13820.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130142421123 its reverse (321124241031), we get a palindrome (451266662154).

It can be divided in two parts, 1301 and 42421123, that added together give a palindrome (42422424).

The spelling of 130142421123 in words is "one hundred thirty billion, one hundred forty-two million, four hundred twenty-one thousand, one hundred twenty-three".

Divisors: 1 3 11 13 33 39 101 143 223 303 429 669 1111 1313 2453 2899 3333 3939 7359 8697 13469 14443 22523 31889 40407 43329 67569 95667 148159 175097 247753 292799 444477 525291 743259 878397 1360369 1926067 3003587 3220789 4081107 5778201 9010761 9662367 14964059 17684797 33039457 39046631 44892177 53054391 99118371 117139893 194532767 303362287 429512941 583598301 910086861 1288538823 3336985157 3943709731 10010955471 11831129193 43380807041 130142421123