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130201131220 = 22529734916263
BaseRepresentation
bin111100101000010010…
…1111001100011010100
3110110001221101202210021
41321100211321203110
54113122442144340
6135451422034524
712256335232516
oct1712045714324
9413057352707
10130201131220
1150244164a86
1221298118a44
13c37c7669a4
1464320a3bb6
1535c0842e4a
hex1e509798d4

130201131220 has 96 divisors (see below), whose sum is σ = 287355237120. Its totient is φ = 49486832640.

The previous prime is 130201131217. The next prime is 130201131233. The reversal of 130201131220 is 22131102031.

It is a junction number, because it is equal to n+sod(n) for n = 130201131194 and 130201131203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20785809 + ... + 20792071.

It is an arithmetic number, because the mean of its divisors is an integer number (2993283720).

Almost surely, 2130201131220 is an apocalyptic number.

130201131220 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 130201131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143677618560).

130201131220 is an abundant number, since it is smaller than the sum of its proper divisors (157154105900).

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

130201131220 is a wasteful number, since it uses less digits than its factorization.

130201131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6865 (or 6863 counting only the distinct ones).

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

Adding to 130201131220 its reverse (22131102031), we get a palindrome (152332233251).

The spelling of 130201131220 in words is "one hundred thirty billion, two hundred one million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 365 491 580 730 982 1460 1964 2117 2455 4234 4910 6263 8468 9820 10585 12526 14239 21170 25052 28478 31315 35843 42340 56956 62630 71195 71686 125260 142390 143372 179215 181627 284780 358430 363254 457199 716860 726508 908135 914398 1039447 1816270 1828796 2078894 2285995 3075133 3632540 4157788 4571990 5197235 6150266 9143980 10394470 12300532 13258771 15375665 20788940 26517542 30751330 53035084 61502660 66293855 89178857 132587710 178357714 224484709 265175420 356715428 445894285 448969418 891788570 897938836 1122423545 1783577140 2244847090 4489694180 6510056561 13020113122 26040226244 32550282805 65100565610 130201131220