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21301111200330 = 23251318206077949
BaseRepresentation
bin1001101011111100011010…
…01010101001101001001010
32210102100220001201210011200
410311332031022221221022
510242444133431402310
6113145332334405030
74325645251525353
oct465761512515112
983370801653150
1021301111200330
116872828a54505
12248036b060776
13bb68bc680b60
14538d9d21cd2a
1526e1566059c0
hex135f8d2a9a4a

21301111200330 has 48 divisors (see below), whose sum is σ = 59643111364200. Its totient is φ = 5243350449024.

The previous prime is 21301111200269. The next prime is 21301111200337. The reversal of 21301111200330 is 3300211110312.

21301111200330 is a `hidden beast` number, since 2 + 1 + 301 + 1 + 11 + 20 + 0 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19525360400001 + 1775750800329 = 4418751^2 + 1332573^2 .

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 (21301111200337) 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 23 ways as a sum of consecutive naturals, for example, 9103037805 + ... + 9103040144.

Almost surely, 221301111200330 is an apocalyptic number.

21301111200330 is an abundant number, since it is smaller than the sum of its proper divisors (38342000163870).

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

21301111200330 is a wasteful number, since it uses less digits than its factorization.

21301111200330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18206077975 (or 18206077972 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 21301111200330 its reverse (3300211110312), we get a palindrome (24601322310642).

The spelling of 21301111200330 in words is "twenty-one trillion, three hundred one billion, one hundred eleven million, two hundred thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 18206077949 36412155898 54618233847 91030389745 109236467694 163854701541 182060779490 236679013337 273091169235 327709403082 473358026674 546182338470 710037040011 819273507705 1183395066685 1420074080022 1638547015410 2130111120033 2366790133370 3550185200055 4260222240066 7100370400110 10650555600165 21301111200330