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214032033022241 = 7971735918158681
BaseRepresentation
bin110000101010100100110111…
…010011001000000100100001
31001001211021002101100010221002
4300222210313103020010201
5211023200100423202431
62035112543015241345
763040206206122520
oct6052446723100441
91031737071303832
10214032033022241
1162219525923735
1220008a12979255
139257198844a55
143abd2c45104b7
1519b26e72ed3cb
hexc2a9374c8121

214032033022241 has 16 divisors (see below), whose sum is σ = 247144020103680. Its totient is φ = 181554259645440.

The previous prime is 214032033022211. The next prime is 214032033022253. The reversal of 214032033022241 is 142220330230412.

It is a cyclic number.

It is not a de Polignac number, because 214032033022241 - 218 = 214032032760097 is a prime.

It is a super-2 number, since 2×2140320330222412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214032033022211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2707421 + ... + 20866101.

It is an arithmetic number, because the mean of its divisors is an integer number (15446501256480).

Almost surely, 2214032033022241 is an apocalyptic number.

It is an amenable number.

214032033022241 is a deficient number, since it is larger than the sum of its proper divisors (33111987081439).

214032033022241 is a wasteful number, since it uses less digits than its factorization.

214032033022241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18176144.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 214032033022241 its reverse (142220330230412), we get a palindrome (356252363252653).

The spelling of 214032033022241 in words is "two hundred fourteen trillion, thirty-two billion, thirty-three million, twenty-two thousand, two hundred forty-one".

Divisors: 1 7 97 679 17359 121513 1683823 11786761 18158681 127110767 1761392057 12329744399 315216543479 2206515804353 30576004717463 214032033022241