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130243424202100 = 225211661587930469
BaseRepresentation
bin11101100111010010101001…
…000010001010110101110100
3122002011011001011120222222201
4131213102221002022311310
5114032402013043431400
61141001000355234244
736301530316243666
oct3547225102126564
9562134034528881
10130243424202100
1138554a20583160
121273606b2a8984
135789b961a46b1
142423b5b518536
15100cde4e3d06a
hex7674a908ad74

130243424202100 has 144 divisors (see below), whose sum is σ = 308850813532800. Its totient is φ = 47279998656000.

The previous prime is 130243424202083. The next prime is 130243424202107. The reversal of 130243424202100 is 1202424342031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130243424202107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4274605666 + ... + 4274636134.

It is an arithmetic number, because the mean of its divisors is an integer number (2144797316200).

Almost surely, 2130243424202100 is an apocalyptic number.

130243424202100 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 130243424202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154425406766400).

130243424202100 is an abundant number, since it is smaller than the sum of its proper divisors (178607389330700).

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

130243424202100 is a wasteful number, since it uses less digits than its factorization.

130243424202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37034 (or 37027 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 130243424202100 its reverse (1202424342031), we get a palindrome (131445848544131).

The spelling of 130243424202100 in words is "one hundred thirty trillion, two hundred forty-three billion, four hundred twenty-four million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 661 1100 1322 2644 3305 5879 6610 7271 11758 13220 14542 16525 23516 29084 29395 30469 33050 36355 58790 60938 64669 66100 72710 117580 121876 129338 145420 146975 152345 181775 258676 293950 304690 323345 335159 363550 587900 609380 646690 670318 727100 761725 1293380 1340636 1523450 1616725 1675795 3046900 3233450 3351590 3886019 6466900 6703180 7772038 8378975 15544076 16757950 19430095 20140009 33515900 38860190 40280018 42746209 77720380 80560036 85492418 97150475 100700045 170984836 179127251 194300950 201400090 213731045 221540099 358254502 388601900 402800180 427462090 443080198 503500225 716509004 854924180 886160396 895636255 1007000450 1068655225 1107700495 1791272510 1970399761 2014000900 2137310450 2215400990 3582545020 3940799522 4274620900 4430801980 4478181275 5538502475 7881599044 8956362550 9851998805 11077004950 17912725100 19703997610 22154009900 39407995220 49259994025 98519988050 118403112911 197039976100 236806225822 473612451644 592015564555 1184031129110 1302434242021 2368062258220 2604868484042 2960077822775 5209736968084 5920155645550 6512171210105 11840311291100 13024342420210 26048684840420 32560856050525 65121712101050 130243424202100