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1003030100200 = 235217436860671
BaseRepresentation
bin11101001100010010100…
…00001011100011101000
310112212222220002110112101
432212021100023203220
5112413201201201300
62044441412023144
7132316010115262
oct16461120134350
93485886073471
101003030100200
11357423385037
12142488901ab4
137377bc8b83b
1436792a46b32
151b1577a3b6a
hexe98940b8e8

1003030100200 has 96 divisors (see below), whose sum is σ = 2526648284160. Its totient is φ = 368829619200.

The previous prime is 1003030100159. The next prime is 1003030100203. The reversal of 1003030100200 is 20010303001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1003030100203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3284136 + ... + 3576535.

It is an arithmetic number, because the mean of its divisors is an integer number (26319252960).

Almost surely, 21003030100200 is an apocalyptic number.

1003030100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003030100200 is an abundant number, since it is smaller than the sum of its proper divisors (1523618183960).

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

1003030100200 is a wasteful number, since it uses less digits than its factorization.

1003030100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860747 (or 6860738 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1003030100200 its reverse (20010303001), we get a palindrome (1023040403201).

The spelling of 1003030100200 in words is "one trillion, three billion, thirty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 43 50 68 85 86 100 136 170 172 200 215 340 344 425 430 680 731 850 860 1075 1462 1700 1720 2150 2924 3400 3655 4300 5848 7310 8600 14620 18275 29240 36550 73100 146200 6860671 13721342 27442684 34303355 54885368 68606710 116631407 137213420 171516775 233262814 274426840 295008853 343033550 466525628 583157035 590017706 686067100 933051256 1166314070 1180035412 1372134200 1475044265 2332628140 2360070824 2915785175 2950088530 4665256280 5015150501 5831570350 5900177060 7375221325 10030301002 11663140700 11800354120 14750442650 20060602004 23326281400 25075752505 29500885300 40121204008 50151505010 59001770600 100303010020 125378762525 200606020040 250757525050 501515050100 1003030100200