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20330320204100 = 2252541889342257
BaseRepresentation
bin1001001111101100001011…
…00000111001000101000100
32122222120002222012111020002
410213312011200321011010
510131042443433012400
6111123341542300432
74165550200311614
oct447660540710504
978876088174202
1020330320204100
116529049821455
12234419b127718
13b461aa92a7ca
14503dc815aa44
15253c8931ded5
hex127d85839144

20330320204100 has 72 divisors (see below), whose sum is σ = 44204357672328. Its totient is φ = 8115991603200.

The previous prime is 20330320204043. The next prime is 20330320204127. The reversal of 20330320204100 is 140202303302.

It can be written as a sum of positive squares in 12 ways, for example, as 9983122713664 + 10347197490436 = 3159608^2 + 3216706^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 481090172 + ... + 481132428.

Almost surely, 220330320204100 is an apocalyptic number.

20330320204100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20330320204100 is an abundant number, since it is smaller than the sum of its proper divisors (23874037468228).

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

20330320204100 is a wasteful number, since it uses less digits than its factorization.

20330320204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51705 (or 51698 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20330320204100 its reverse (140202303302), we get a palindrome (20470522507402).

The spelling of 20330320204100 in words is "twenty trillion, three hundred thirty billion, three hundred twenty million, two hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 541 1082 2164 2705 5410 8893 10820 13525 17786 27050 35572 42257 44465 54100 84514 88930 169028 177860 211285 222325 422570 444650 845140 889300 1056425 2112850 4225700 4811113 9622226 19244452 22861037 24055565 45722074 48111130 91444148 96222260 114305185 120277825 228610370 240555650 375791501 457220740 481111300 571525925 751583002 1143051850 1503166004 1878957505 2286103700 3757915010 7515830020 9394787525 18789575050 37579150100 203303202041 406606404082 813212808164 1016516010205 2033032020410 4066064040820 5082580051025 10165160102050 20330320204100