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10011401332221 = 3137155915624529
BaseRepresentation
bin1001000110101111011000…
…0001010010010111111101
31022110002011202211221101010
42101223312001102113331
52303011322220112341
633143101351105433
72052204600151032
oct221536601222775
938402152757333
1010011401332221
11320a8a2067733
12115833a072279
135780c026c953
142687a942d389
15125645d5a716
hex91af60525fd

10011401332221 has 16 divisors (see below), whose sum is σ = 13454595273600. Its totient is φ = 6621299977728.

The previous prime is 10011401332213. The next prime is 10011401332307. The reversal of 10011401332221 is 12223310411001.

It is not a de Polignac number, because 10011401332221 - 23 = 10011401332213 is a prime.

It is a super-2 number, since 2×100114013322212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011401332921) 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 15 ways as a sum of consecutive naturals, for example, 7171516 + ... + 8453013.

It is an arithmetic number, because the mean of its divisors is an integer number (840912204600).

Almost surely, 210011401332221 is an apocalyptic number.

It is an amenable number.

10011401332221 is a deficient number, since it is larger than the sum of its proper divisors (3443193941379).

10011401332221 is a wasteful number, since it uses less digits than its factorization.

10011401332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15626228.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10011401332221 its reverse (12223310411001), we get a palindrome (22234711743222).

The spelling of 10011401332221 in words is "ten trillion, eleven billion, four hundred one million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 137 411 1559 4677 213583 640749 15624529 46873587 2140560473 6421681419 24358640711 73075922133 3337133777407 10011401332221