Search a number
-
+
221201012001020 = 225472087112755259
BaseRepresentation
bin110010010010111001011111…
…101111101000100011111100
31002000012121110212001122121212
4302102321133233220203330
5212443124133033013040
62102242201514543552
764410150200035652
oct6222713757504374
91060177425048555
10221201012001020
1164532905637857
12209862a3437bb8
13965722070a08c
143c8a28695cdd2
151a88e2c8b2d65
hexc92e5fbe88fc

221201012001020 has 48 divisors (see below), whose sum is σ = 474632893486080. Its totient is φ = 86556348293184.

The previous prime is 221201012001019. The next prime is 221201012001031. The reversal of 221201012001020 is 20100210102122.

It is a junction number, because it is equal to n+sod(n) for n = 221201012000986 and 221201012001004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54415850 + ... + 58339409.

It is an arithmetic number, because the mean of its divisors is an integer number (9888185280960).

Almost surely, 2221201012001020 is an apocalyptic number.

221201012001020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201012001020 is an abundant number, since it is smaller than the sum of its proper divisors (253431881485060).

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

221201012001020 is a wasteful number, since it uses less digits than its factorization.

221201012001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112757402 (or 112757400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221201012001020 its reverse (20100210102122), we get a palindrome (241301222103142).

The spelling of 221201012001020 in words is "two hundred twenty-one trillion, two hundred one billion, twelve million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 2087 4174 8348 10435 20870 41740 98089 196178 392356 490445 980890 1961780 112755259 225510518 451021036 563776295 1127552590 2255105180 5299497173 10598994346 21197988692 26497485865 52994971730 105989943460 235320225533 470640451066 941280902132 1176601127665 2353202255330 4706404510660 11060050600051 22120101200102 44240202400204 55300253000255 110600506000510 221201012001020