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221201011120001 = 11237116112286397
BaseRepresentation
bin110010010010111001011111…
…101100010001011110000001
31002000012121110210101220002112
4302102321133230101132001
5212443124132321320001
62102242201444025105
764410150156406253
oct6222713754213601
91060177423356075
10221201011120001
1164532905095940
12209862a3092195
13965722048c073
143c8a2867adcd3
151a88e2c78bcbb
hexc92e5fb11781

221201011120001 has 16 divisors (see below), whose sum is σ = 251805500489088. Its totient is φ = 192345986659200.

The previous prime is 221201011119967. The next prime is 221201011120079. The reversal of 221201011120001 is 100021110102122.

221201011120001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221201011120001 - 234 = 221183831250817 is a prime.

It is a super-3 number, since 3×2212010111200013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (221201011125001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11860535 + ... + 24146931.

It is an arithmetic number, because the mean of its divisors is an integer number (15737843780568).

Almost surely, 2221201011120001 is an apocalyptic number.

It is an amenable number.

221201011120001 is a deficient number, since it is larger than the sum of its proper divisors (30604489369087).

221201011120001 is a wasteful number, since it uses less digits than its factorization.

221201011120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12357592.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 221201011120001 its reverse (100021110102122), we get a palindrome (321222121222123).

The spelling of 221201011120001 in words is "two hundred twenty-one trillion, two hundred one billion, eleven million, one hundred twenty thousand, one".

Divisors: 1 11 23 253 71161 782771 1636703 12286397 18003733 135150367 282587131 3108458441 874312296917 9617435266087 20109182829091 221201011120001