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20000404012300 = 22524725491669441
BaseRepresentation
bin1001000110000101101001…
…11110011111110100001100
32121211000112112200110100021
410203002310332133310030
510110141311411343200
6110312020405311524
74132660441044205
oct443026476376414
977730475613307
1020000404012300
11641113a7234a8
1222b0266a055a4
13b21050bcb67a
144d204bb885ac
1524a3ca58d41a
hex1230b4f9fd0c

20000404012300 has 72 divisors (see below), whose sum is σ = 44341715073600. Its totient is φ = 7826868940800.

The previous prime is 20000404012297. The next prime is 20000404012319. The reversal of 20000404012300 is 321040400002.

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, 11145580 + ... + 12815020.

It is an arithmetic number, because the mean of its divisors is an integer number (615857153800).

Almost surely, 220000404012300 is an apocalyptic number.

20000404012300 is a gapful number since it is divisible by the number (20) 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 20000404012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22170857536800).

20000404012300 is an abundant number, since it is smaller than the sum of its proper divisors (24341311061300).

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

20000404012300 is a wasteful number, since it uses less digits than its factorization.

20000404012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672051 (or 1672044 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20000404012300 its reverse (321040400002), we get a palindrome (20321444412302).

The spelling of 20000404012300 in words is "twenty trillion, four hundred four million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 2549 4700 5098 10196 12745 25490 50980 63725 119803 127450 239606 254900 479212 599015 1198030 1669441 2396060 2995075 3338882 5990150 6677764 8347205 11980300 16694410 33388820 41736025 78463727 83472050 156927454 166944100 313854908 392318635 784637270 1569274540 1961593175 3923186350 4255405109 7846372700 8510810218 17021620436 21277025545 42554051090 85108102180 106385127725 200004040123 212770255450 400008080246 425540510900 800016160492 1000020200615 2000040401230 4000080802460 5000101003075 10000202006150 20000404012300