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10200300000420 = 2235251677310757
BaseRepresentation
bin1001010001101111000101…
…0000100001010010100100
31100010010202110000112112110
42110123301100201102210
52314110203300003140
633405541513121020
72101642641302145
oct224336120412244
940103673015473
1010200300000420
113282a17479a52
121188a779b9170
1358cb6567572a
142739a8dc3acc
1512a4ee8c6380
hex946f14214a4

10200300000420 has 48 divisors (see below), whose sum is σ = 28674628250688. Its totient is φ = 2709243024000.

The previous prime is 10200300000409. The next prime is 10200300000503. The reversal of 10200300000420 is 2400000300201.

It is a super-3 number, since 3×102003000004203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200300000396 and 10200300000405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338640319 + ... + 338670438.

It is an arithmetic number, because the mean of its divisors is an integer number (597388088556).

Almost surely, 210200300000420 is an apocalyptic number.

10200300000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200300000420 is an abundant number, since it is smaller than the sum of its proper divisors (18474328250268).

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

10200300000420 is a wasteful number, since it uses less digits than its factorization.

10200300000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677311020 (or 677311018 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10200300000420 its reverse (2400000300201), we get a palindrome (12600300300621).

The spelling of 10200300000420 in words is "ten trillion, two hundred billion, three hundred million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 251 502 753 1004 1255 1506 2510 3012 3765 5020 7530 15060 677310757 1354621514 2031932271 2709243028 3386553785 4063864542 6773107570 8127729084 10159661355 13546215140 20319322710 40638645420 170005000007 340010000014 510015000021 680020000028 850025000035 1020030000042 1700050000070 2040060000084 2550075000105 3400100000140 5100150000210 10200300000420