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348072901131 = 32331162726929
BaseRepresentation
bin1010001000010101100…
…00101111101000001011
31020021102210120102200210
411010022300233220023
521200323130314011
6423522534132203
734101366562134
oct5041260575013
91207383512623
10348072901131
1112468709545a
1257560ab1063
1326a9156a437
1412bbd952c8b
1590c2c916a6
hex510ac2fa0b

348072901131 has 16 divisors (see below), whose sum is σ = 499897128960. Its totient is φ = 214799544960.

The previous prime is 348072901067. The next prime is 348072901217. The reversal of 348072901131 is 131109270843.

It is not a de Polignac number, because 348072901131 - 26 = 348072901067 is a prime.

It is a super-2 number, since 2×3480729011312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 348072901131.

It is not an unprimeable number, because it can be changed into a prime (348072901531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81361326 + ... + 81365603.

It is an arithmetic number, because the mean of its divisors is an integer number (31243570560).

Almost surely, 2348072901131 is an apocalyptic number.

348072901131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

348072901131 is a deficient number, since it is larger than the sum of its proper divisors (151824227829).

348072901131 is a wasteful number, since it uses less digits than its factorization.

348072901131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162726986.

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 348072901131 in words is "three hundred forty-eight billion, seventy-two million, nine hundred one thousand, one hundred thirty-one".

Divisors: 1 3 23 31 69 93 713 2139 162726929 488180787 3742719367 5044534799 11228158101 15133604397 116024300377 348072901131