Search a number
-
+
21300003003330 = 23251780691329073
BaseRepresentation
bin1001101011111010010110…
…00111001101101111000010
32210102021000211110112200100
410311331023013031233002
510242434401232101310
6113145030350103230
74325605634152332
oct465751307155702
983367024415610
1021300003003330
11687230a450717
1224800bbaaab16
13bb6773bc019c
14538cd5d890c2
1526e0de1a0ec0
hex135f4b1cdbc2

21300003003330 has 48 divisors (see below), whose sum is σ = 55380360480120. Its totient is φ = 5679964629504.

The previous prime is 21300003003317. The next prime is 21300003003337. The reversal of 21300003003330 is 3330030000312.

21300003003330 is a `hidden beast` number, since 2 + 1 + 30 + 0 + 0 + 0 + 300 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8007875572761 + 13292127430569 = 2829819^2 + 3645837^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21300003003337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15361674 + ... + 16690746.

Almost surely, 221300003003330 is an apocalyptic number.

21300003003330 is an abundant number, since it is smaller than the sum of its proper divisors (34080357476790).

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

21300003003330 is a wasteful number, since it uses less digits than its factorization.

21300003003330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507155 (or 1507152 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 21300003003330 its reverse (3330030000312), we get a palindrome (24630033003642).

The spelling of 21300003003330 in words is "twenty-one trillion, three hundred billion, three million, three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 178069 356138 534207 890345 1068414 1329073 1602621 1780690 2658146 2671035 3205242 3987219 5342070 6645365 7974438 8013105 11961657 13290730 16026210 19936095 23923314 39872190 59808285 119616570 236666700037 473333400074 710000100111 1183333500185 1420000200222 2130000300333 2366667000370 3550000500555 4260000600666 7100001001110 10650001501665 21300003003330