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349432272101213 = 7253181232428043
BaseRepresentation
bin100111101110011101000101…
…0011100111001111101011101
31200211020101202211220101210122
41033130322022130321331131
5331300044243124214323
63235102545242244325
7133413435310535630
oct11734721234717535
91624211684811718
10349432272101213
11a1381437a14344
1233236394ab66a5
1311cc94251ba072
14624087dc8dc17
152a5e806989ec8
hex13dce8a739f5d

349432272101213 has 16 divisors (see below), whose sum is σ = 399558299060736. Its totient is φ = 299358057142320.

The previous prime is 349432272101191. The next prime is 349432272101261. The reversal of 349432272101213 is 312101272234943.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 349432272101213 - 218 = 349432271839069 is a prime.

It is a super-2 number, since 2×3494322721012132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349432272101293) 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, 142701170 + ... + 145129212.

It is an arithmetic number, because the mean of its divisors is an integer number (24972393691296).

Almost surely, 2349432272101213 is an apocalyptic number.

It is an amenable number.

349432272101213 is a deficient number, since it is larger than the sum of its proper divisors (50126026959523).

349432272101213 is a wasteful number, since it uses less digits than its factorization.

349432272101213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438704.

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 349432272101213 in words is "three hundred forty-nine trillion, four hundred thirty-two billion, two hundred seventy-two million, one hundred one thousand, two hundred thirteen".

Divisors: 1 7 2531 8123 17717 56861 2428043 16996301 20559313 143915191 6145376833 19722993289 43017637831 138060953023 49918896014459 349432272101213