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130253001320 = 235133113161681
BaseRepresentation
bin111100101001110101…
…1110001001001101000
3110110012120000001012002
41321103223301021220
54113224232020240
6135500513510132
712260535146351
oct1712353611150
9413176001162
10130253001320
1150270472832
12212b1572348
13c38a428360
146438d26d28
1535c518bd15
hex1e53af1268

130253001320 has 128 divisors (see below), whose sum is σ = 328286407680. Its totient is φ = 46185984000.

The previous prime is 130253001293. The next prime is 130253001331. The reversal of 130253001320 is 23100352031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130253001292 and 130253001301.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2080880 + ... + 2142560.

It is an arithmetic number, because the mean of its divisors is an integer number (2564737560).

Almost surely, 2130253001320 is an apocalyptic number.

130253001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130253001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164143203840).

130253001320 is an abundant number, since it is smaller than the sum of its proper divisors (198033406360).

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

130253001320 is a wasteful number, since it uses less digits than its factorization.

130253001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61867 (or 61863 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 130253001320 its reverse (23100352031), we get a palindrome (153353353351).

The spelling of 130253001320 in words is "one hundred thirty billion, two hundred fifty-three million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 131 155 248 260 262 310 403 520 524 620 655 806 1048 1240 1310 1612 1703 2015 2620 3224 3406 4030 4061 5240 6812 8060 8122 8515 13624 16120 16244 17030 20305 32488 34060 40610 52793 61681 68120 81220 105586 123362 162440 211172 246724 263965 308405 422344 493448 527930 616810 801853 1055860 1233620 1603706 1912111 2111720 2467240 3207412 3824222 4009265 6414824 7648444 8018530 8080211 9560555 15296888 16037060 16160422 19121110 24857443 32074120 32320844 38242220 40401055 49714886 64641688 76484440 80802110 99429772 105042743 124287215 161604220 198859544 210085486 248574430 250486541 323208440 420170972 497148860 500973082 525213715 840341944 994297720 1001946164 1050427430 1252432705 2003892328 2100854860 2504865410 3256325033 4201709720 5009730820 6512650066 10019461640 13025300132 16281625165 26050600264 32563250330 65126500660 130253001320