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130120210201131 = 32192292109143649
BaseRepresentation
bin11101100101011111111000…
…111010000011101000101011
3122001201101000011201020000100
4131211133320322003220223
5114023342142302414011
61140424222131440443
736256606052436243
oct3545377072035053
9561641004636010
10130120210201131
1138507742482597
1212716203156123
13577b38b188b07
14241bbcd3c0b23
151009ad2c20d56
hex7657f8e83a2b

130120210201131 has 108 divisors (see below), whose sum is σ = 205633264145400. Its totient is φ = 79272806215680.

The previous prime is 130120210201117. The next prime is 130120210201133. The reversal of 130120210201131 is 131102012021031.

130120210201131 is a `hidden beast` number, since 1 + 3 + 0 + 120 + 210 + 201 + 131 = 666.

It is not a de Polignac number, because 130120210201131 - 222 = 130120206006827 is a prime.

It is a super-2 number, since 2×1301202102011312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130120210201133) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2981036395 + ... + 2981080043.

It is an arithmetic number, because the mean of its divisors is an integer number (1904011705050).

Almost surely, 2130120210201131 is an apocalyptic number.

130120210201131 is a deficient number, since it is larger than the sum of its proper divisors (75513053944269).

130120210201131 is a wasteful number, since it uses less digits than its factorization.

130120210201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44842 (or 44791 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 130120210201131 its reverse (131102012021031), we get a palindrome (261222222222162).

The spelling of 130120210201131 in words is "one hundred thirty trillion, one hundred twenty billion, two hundred ten million, two hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 19 29 57 87 171 261 361 551 841 1083 1091 1653 2523 3249 3273 4959 7569 9819 10469 15979 20729 31407 31639 43649 47937 62187 94221 94917 130947 143811 186561 284751 303601 392841 393851 601141 829331 910803 917531 1181553 1265821 1803423 2487993 2732409 2752593 3544659 3797463 5410269 7463979 8257779 11392389 11421679 15757289 17433089 24050599 34265037 36708809 47271867 47621059 52299267 72151797 102795111 110126427 141815601 142863177 156897801 216455391 330379281 331228691 428589531 456961381 697467371 904800121 993686073 1370884143 1381010711 2092402113 2714400363 2981058219 4112652429 4143032133 6277206339 8143201089 12429096399 13251880049 17191202299 26239203509 39755640147 40049310619 51573606897 78717610527 119266920441 120147931857 154720820691 236152831581 360443795571 498544866671 760936901761 1495634600013 2282810705283 4486903800039 6848432115849 14457801133459 43373403400377 130120210201131