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10020103030200 = 2335256467295751
BaseRepresentation
bin1001000111001111110010…
…1011101000010110111000
31022110220122012121222221110
42101303330223220112320
52303132132333431300
633151101034440320
72052633331313634
oct221637453502670
938426565558843
1010020103030200
113213557a3416a
121159b682930a0
13578b78c97c73
14268d92d93dc4
151259a4c61550
hex91cfcae85b8

10020103030200 has 96 divisors (see below), whose sum is σ = 31062974520960. Its totient is φ = 2671971120000.

The previous prime is 10020103030177. The next prime is 10020103030211. The reversal of 10020103030200 is 203030102001.

It is a happy number.

It is a super-2 number, since 2×100201030302002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33732325 + ... + 34028075.

It is an arithmetic number, because the mean of its divisors is an integer number (323572651260).

Almost surely, 210020103030200 is an apocalyptic number.

10020103030200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020103030200 is an abundant number, since it is smaller than the sum of its proper divisors (21042871490760).

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

10020103030200 is a wasteful number, since it uses less digits than its factorization.

10020103030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352237 (or 352228 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10020103030200 its reverse (203030102001), we get a palindrome (10223133132201).

The spelling of 10020103030200 in words is "ten trillion, twenty billion, one hundred three million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 56467 112934 169401 225868 282335 295751 338802 451736 564670 591502 677604 847005 887253 1129340 1183004 1355208 1411675 1478755 1694010 1774506 2258680 2366008 2823350 2957510 3388020 3549012 4235025 4436265 5646700 5915020 6776040 7098024 7393775 8470050 8872530 11293400 11830040 14787550 16940100 17745060 22181325 29575100 33880200 35490120 44362650 59150200 88725300 177450600 16700171717 33400343434 50100515151 66800686868 83500858585 100201030302 133601373736 167001717170 200402060604 250502575755 334003434340 400804121208 417504292925 501005151510 668006868680 835008585850 1002010303020 1252512878775 1670017171700 2004020606040 2505025757550 3340034343400 5010051515100 10020103030200