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214329994220097 = 32732568110445999
BaseRepresentation
bin110000101110111010010111…
…001010111001001001000001
31001002212202011210220021220200
4300232322113022321021001
5211043040312010020342
62035501501241555413
763100555026404460
oct6056722712711101
91032782153807820
10214329994220097
1162323927190788
12200567094a5b69
139279302161a52
143acd8ac9769d7
1519ba3359d294c
hexc2ee972b9241

214329994220097 has 24 divisors (see below), whose sum is σ = 353815713888000. Its totient is φ = 122473894631040.

The previous prime is 214329994220053. The next prime is 214329994220119. The reversal of 214329994220097 is 790022499923412.

214329994220097 is a `hidden beast` number, since 2 + 1 + 4 + 32 + 9 + 99 + 422 + 0 + 0 + 97 = 666.

It is not a de Polignac number, because 214329994220097 - 215 = 214329994187329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (214329994221097) 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 23 ways as a sum of consecutive naturals, for example, 15294904 + ... + 25740902.

It is an arithmetic number, because the mean of its divisors is an integer number (14742321412000).

Almost surely, 2214329994220097 is an apocalyptic number.

It is an amenable number.

214329994220097 is a deficient number, since it is larger than the sum of its proper divisors (139485719667903).

214329994220097 is a wasteful number, since it uses less digits than its factorization.

214329994220097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10771693 (or 10771690 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 214329994220097 in words is "two hundred fourteen trillion, three hundred twenty-nine billion, nine hundred ninety-four million, two hundred twenty thousand, ninety-seven".

Divisors: 1 3 7 9 21 63 325681 977043 2279767 2931129 6839301 10445999 20517903 31337997 73121993 94013991 219365979 658097937 3402063400319 10206190200957 23814443802233 30618570602871 71443331406699 214329994220097