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345603946121 = 72331611135171
BaseRepresentation
bin1010000011101111001…
…10011011011010001001
31020001001201210112010122
411001313212123122021
521130244102233441
6422433535553025
733653250033440
oct5016746333211
91201051715118
10345603946121
1112362a465a75
1256b9208b775
1326789bba805
1412a27aa3d57
158ecb14934b
hex507799b689

345603946121 has 32 divisors (see below), whose sum is σ = 432418799616. Its totient is φ = 269716392000.

The previous prime is 345603946109. The next prime is 345603946133. The reversal of 345603946121 is 121649306543.

It is an interprime number because it is at equal distance from previous prime (345603946109) and next prime (345603946133).

It is a cyclic number.

It is not a de Polignac number, because 345603946121 - 210 = 345603945097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345603946921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263135 + ... + 872036.

It is an arithmetic number, because the mean of its divisors is an integer number (13513087488).

Almost surely, 2345603946121 is an apocalyptic number.

345603946121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

345603946121 is a deficient number, since it is larger than the sum of its proper divisors (86814853495).

345603946121 is a wasteful number, since it uses less digits than its factorization.

345603946121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135293.

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 345603946121 in words is "three hundred forty-five billion, six hundred three million, nine hundred forty-six thousand, one hundred twenty-one".

Divisors: 1 7 23 31 61 161 217 427 713 1403 1891 4991 9821 13237 43493 304451 1135171 7946197 26108933 35190301 69245431 182762531 246332107 484718017 809376923 1592644913 2146608361 5665638461 11148514391 15026258527 49371992303 345603946121