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12302020232100 = 22325237369430037
BaseRepresentation
bin1011001100000100100110…
…0010111100001110100100
31121120001122221102112222200
42303001021202330032210
53103024014134411400
642055245311454500
72406535346433354
oct263011142741644
947501587375880
1012302020232100
113a13291787405
121468269827430
136b30c9c2a7b1
143075c7164b64
1516500cb3bb00
hexb30498bc3a4

12302020232100 has 108 divisors (see below), whose sum is σ = 39602161213524. Its totient is φ = 3191875511040.

The previous prime is 12302020232093. The next prime is 12302020232101. The reversal of 12302020232100 is 123202020321.

12302020232100 is a `hidden beast` number, since 1 + 230 + 20 + 202 + 3 + 210 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 362770108416 + 11939250123684 = 602304^2 + 3455322^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12302020232101) 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 35 ways as a sum of consecutive naturals, for example, 184681719 + ... + 184748318.

It is an arithmetic number, because the mean of its divisors is an integer number (366686677903).

Almost surely, 212302020232100 is an apocalyptic number.

12302020232100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302020232100 is an abundant number, since it is smaller than the sum of its proper divisors (27300140981424).

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

12302020232100 is a wasteful number, since it uses less digits than its factorization.

12302020232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369430094 (or 369430084 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12302020232100 its reverse (123202020321), we get a palindrome (12425222252421).

The spelling of 12302020232100 in words is "twelve trillion, three hundred two billion, twenty million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 369430037 738860074 1108290111 1477720148 1847150185 2216580222 3324870333 3694300370 4433160444 5541450555 6649740666 7388600740 9235750925 11082901110 13299481332 13668911369 16624351665 18471501850 22165802220 27337822738 27707252775 33248703330 36943003700 41006734107 54675645476 55414505550 66497406660 68344556845 82013468214 83121758325 110829011100 123020202321 136689113690 164026936428 166243516650 205033670535 246040404642 273378227380 332487033300 341722784225 410067341070 492080809284 615101011605 683445568450 820134682140 1025168352675 1230202023210 1366891136900 2050336705350 2460404046420 3075505058025 4100673410700 6151010116050 12302020232100