Search a number
-
+
21301111200329 = 3741233209928711
BaseRepresentation
bin1001101011111100011010…
…01010101001101001001001
32210102100220001201210011122
410311332031022221221021
510242444133431402304
6113145332334405025
74325645251525352
oct465761512515111
983370801653148
1021301111200329
116872828a54504
12248036b060775
13bb68bc680b5c
14538d9d21cd29
1526e1566059be
hex135f8d2a9a49

21301111200329 has 32 divisors (see below), whose sum is σ = 22518086572800. Its totient is φ = 20122834406400.

The previous prime is 21301111200269. The next prime is 21301111200337. The reversal of 21301111200329 is 92300211110312.

It is a cyclic number.

It is not a de Polignac number, because 21301111200329 - 28 = 21301111200073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21301111200298 and 21301111200307.

It is not an unprimeable number, because it can be changed into a prime (21301111220329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 741900284 + ... + 741928994.

It is an arithmetic number, because the mean of its divisors is an integer number (703690205400).

Almost surely, 221301111200329 is an apocalyptic number.

It is an amenable number.

21301111200329 is a deficient number, since it is larger than the sum of its proper divisors (1216975372471).

21301111200329 is a wasteful number, since it uses less digits than its factorization.

21301111200329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31121.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 21301111200329 in words is "twenty-one trillion, three hundred one billion, one hundred eleven million, two hundred thousand, three hundred twenty-nine".

Divisors: 1 37 41 233 1517 2099 8621 9553 28711 77663 86059 353461 489067 1062307 1177151 3184183 6689663 18095479 20051747 43554587 60264389 247517531 274276183 741914639 2229782393 2470839949 10148218771 14041602637 91421078113 519539297569 575705708117 21301111200329