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130112023120 = 2457192262031
BaseRepresentation
bin111100100101101000…
…1111110101001010000
3110102211201201121110021
41321023101332221100
54112432134214440
6135434520113224
712254203643242
oct1711321765120
9412751647407
10130112023120
11501a8932822
1221272305814
13c3671679c1
14642430a092
1535b7ae084a
hex1e4b47ea50

130112023120 has 40 divisors (see below), whose sum is σ = 302931325440. Its totient is φ = 51972401280.

The previous prime is 130112023081. The next prime is 130112023121. The reversal of 130112023120 is 21320211031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130112023094 and 130112023103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130112023121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1073496 + ... + 1188535.

It is an arithmetic number, because the mean of its divisors is an integer number (7573283136).

Almost surely, 2130112023120 is an apocalyptic number.

130112023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130112023120 is an abundant number, since it is smaller than the sum of its proper divisors (172819302320).

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

130112023120 is a wasteful number, since it uses less digits than its factorization.

130112023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262763 (or 2262757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 130112023120 its reverse (21320211031), we get a palindrome (151432234151).

The spelling of 130112023120 in words is "one hundred thirty billion, one hundred twelve million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 719 1438 2876 3595 5752 7190 11504 14380 28760 57520 2262031 4524062 9048124 11310155 18096248 22620310 36192496 45240620 90481240 180962480 1626400289 3252800578 6505601156 8132001445 13011202312 16264002890 26022404624 32528005780 65056011560 130112023120