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221121010000 = 2454112010191
BaseRepresentation
bin1100110111101111010…
…1101101100101010000
3210010202022012011101001
43031323311231211100
512110323434310000
6245325342351344
721655404400432
oct3157365554520
9703668164331
10221121010000
1185860055670
1236a30b8b554
1317b0c022827
14a9b9214652
155b4282646a
hex337bd6d950

221121010000 has 100 divisors (see below), whose sum is σ = 584025102144. Its totient is φ = 80407600000.

The previous prime is 221121009959. The next prime is 221121010001. The reversal of 221121010000 is 10121122.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221121010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 895096 + ... + 1115095.

Almost surely, 2221121010000 is an apocalyptic number.

221121010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221121010000 is an abundant number, since it is smaller than the sum of its proper divisors (362904092144).

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

221121010000 is a wasteful number, since it uses less digits than its factorization.

221121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010230 (or 2010209 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221121010000 its reverse (10121122), we get a palindrome (221131131122).

The spelling of 221121010000 in words is "two hundred twenty-one billion, one hundred twenty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 2010191 4020382 8040764 10050955 16081528 20101910 22112101 32163056 40203820 44224202 50254775 80407640 88448404 100509550 110560505 160815280 176896808 201019100 221121010 251273875 353793616 402038200 442242020 502547750 552802525 804076400 884484040 1005095500 1105605050 1256369375 1768968080 2010191000 2211210100 2512738750 2764012625 4020382000 4422420200 5025477500 5528025250 8844840400 10050955000 11056050500 13820063125 20101910000 22112101000 27640126250 44224202000 55280252500 110560505000 221121010000