Search a number
-
+
221304131120 = 2457337894543
BaseRepresentation
bin1100111000011011000…
…0010000111000110000
3210011020001202200022202
43032012300100320300
512111212324143440
6245355443322332
721663060035312
oct3160660207060
9704201680282
10221304131120
118594445a236
1236a823803a8
1317b3ac4a217
14a9d56817b2
155b53949615
hex3386c10e30

221304131120 has 40 divisors (see below), whose sum is σ = 521580503616. Its totient is φ = 87309024768.

The previous prime is 221304131117. The next prime is 221304131141. The reversal of 221304131120 is 21131403122.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 221304131092 and 221304131101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18941432 + ... + 18953111.

Almost surely, 2221304131120 is an apocalyptic number.

221304131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221304131120 is an abundant number, since it is smaller than the sum of its proper divisors (300276372496).

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

221304131120 is a wasteful number, since it uses less digits than its factorization.

221304131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37894629 (or 37894623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221304131120 its reverse (21131403122), we get a palindrome (242435534242).

The spelling of 221304131120 in words is "two hundred twenty-one billion, three hundred four million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 37894543 75789086 151578172 189472715 303156344 378945430 606312688 757890860 1515781720 2766301639 3031563440 5532603278 11065206556 13831508195 22130413112 27663016390 44260826224 55326032780 110652065560 221304131120