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130135226040 = 23325533367783
BaseRepresentation
bin111100100110010101…
…0011111011010111000
3110102220100101102212200
41321030222133122320
54113004104213130
6135441105310200
712254605112241
oct1711452373270
9412810342780
10130135226040
115020aa40496
122127a035360
13c36bbccc41
146427429cc8
1535b9b75760
hex1e4ca9f6b8

130135226040 has 96 divisors (see below), whose sum is σ = 423025031520. Its totient is φ = 34695707904.

The previous prime is 130135226029. The next prime is 130135226051. The reversal of 130135226040 is 40622531031.

130135226040 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 52 + 2 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130135226029) and next prime (130135226051).

It is a junction number, because it is equal to n+sod(n) for n = 130135225995 and 130135226013.

It is a congruent number.

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, 1885989 + ... + 1953771.

It is an arithmetic number, because the mean of its divisors is an integer number (4406510745).

Almost surely, 2130135226040 is an apocalyptic number.

130135226040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130135226040 is an abundant number, since it is smaller than the sum of its proper divisors (292889805480).

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

130135226040 is a wasteful number, since it uses less digits than its factorization.

130135226040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73133 (or 73126 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 130135226040 its reverse (40622531031), we get a palindrome (170757757071).

The spelling of 130135226040 in words is "one hundred thirty billion, one hundred thirty-five million, two hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5333 10666 15999 21332 26665 31998 42664 47997 53330 63996 67783 79995 95994 106660 127992 135566 159990 191988 203349 213320 239985 271132 319980 338915 383976 406698 479970 542264 610047 639960 677830 813396 959940 1016745 1220094 1355660 1626792 1919880 2033490 2440188 2711320 3050235 4066980 4880376 6100470 8133960 12200940 24401880 361486739 722973478 1084460217 1445946956 1807433695 2168920434 2891893912 3253380651 3614867390 4337840868 5422301085 6506761302 7229734780 8675681736 10844602170 13013522604 14459469560 16266903255 21689204340 26027045208 32533806510 43378408680 65067613020 130135226040