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310121002133031 = 31792115205152583
BaseRepresentation
bin100011010000011011010110…
…0001010110110011000100111
31111200001021111212001002021010
41012200312230022312120213
5311122010303021224111
63015323342132553303
7122215334351243415
oct10640665412663047
91450037455032233
10310121002133031
118a8a563a958a81
122a947640182833
131040739225070b
145681d180122b5
1525cbe5b70aaa6
hex11a0dac2b6627

310121002133031 has 32 divisors (see below), whose sum is σ = 417791305451520. Its totient is φ = 204610128156000.

The previous prime is 310121002133029. The next prime is 310121002133039. The reversal of 310121002133031 is 130331200121013.

It is a happy number.

It is not a de Polignac number, because 310121002133031 - 21 = 310121002133029 is a prime.

It is a super-2 number, since 2×3101210021330312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 310121002132989 and 310121002133007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310121002133039) 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 31 ways as a sum of consecutive naturals, for example, 5897716366 + ... + 5897768948.

It is an arithmetic number, because the mean of its divisors is an integer number (13055978295360).

Almost surely, 2310121002133031 is an apocalyptic number.

310121002133031 is a deficient number, since it is larger than the sum of its proper divisors (107670303318489).

310121002133031 is a wasteful number, since it uses less digits than its factorization.

310121002133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105027.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 310121002133031 its reverse (130331200121013), we get a palindrome (440452202254044).

The spelling of 310121002133031 in words is "three hundred ten trillion, one hundred twenty-one billion, two million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 179 211 537 633 37769 52051 52583 113307 156153 157749 9317129 9412357 10982761 11095013 27951387 28237071 32948283 33285039 1965914219 1986007327 2736997733 5897742657 5958021981 8210993199 489922594207 577506521663 1469767782621 1732519564989 103373667377677 310121002133031