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122143545341221 = 41103271106728437
BaseRepresentation
bin11011110001011011000010…
…101000011011010100100101
3121000110210211200111202111211
4123301123002220123110211
5112002144440101404341
61111435545312431421
734504402630023265
oct3361330250332445
9530423750452454
10122143545341221
1135a118720844a8
12118482a2248571
135320118c06371
142223ac9d4d7a5
15e1c37971b181
hex6f16c2a1b525

122143545341221 has 16 divisors (see below), whose sum is σ = 126803630274048. Its totient is φ = 117572045097600.

The previous prime is 122143545341179. The next prime is 122143545341249.

122143545341221 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 122143545341221 - 241 = 119944522085669 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122143545141221) 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, 52219786 + ... + 54508651.

It is an arithmetic number, because the mean of its divisors is an integer number (7925226892128).

Almost surely, 2122143545341221 is an apocalyptic number.

It is an amenable number.

122143545341221 is a deficient number, since it is larger than the sum of its proper divisors (4660084932827).

122143545341221 is a wasteful number, since it uses less digits than its factorization.

122143545341221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106728852.

The product of its digits is 230400, while the sum is 40.

The spelling of 122143545341221 in words is "one hundred twenty-two trillion, one hundred forty-three billion, five hundred forty-five million, three hundred forty-one thousand, two hundred twenty-one".

Divisors: 1 41 103 271 4223 11111 27913 1144433 106728437 4375865917 10993029011 28923406427 450714189451 1185859663507 2979110861981 122143545341221