Search a number
-
+
2315142320001 = 372175915702161
BaseRepresentation
bin100001101100001001001…
…111000100111110000001
322012022210020201102201220
4201230021033010332001
5300412402413220001
64531321154345253
7326156246012100
oct41541117047601
98168706642656
102315142320001
11812934536235
1231483458b229
1313a41754c334
14800a6aa2037
154034ec14c36
hex21b093c4f81

2315142320001 has 48 divisors (see below), whose sum is σ = 3866500370880. Its totient is φ = 1224014776320.

The previous prime is 2315142319999. The next prime is 2315142320011. The reversal of 2315142320001 is 1000232415132.

It is not a de Polignac number, because 2315142320001 - 21 = 2315142319999 is a prime.

It is a super-2 number, since 2×23151423200012 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2315142320011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7703640 + ... + 7998521.

It is an arithmetic number, because the mean of its divisors is an integer number (80552091060).

Almost surely, 22315142320001 is an apocalyptic number.

2315142320001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2315142320001 is a deficient number, since it is larger than the sum of its proper divisors (1551358050879).

2315142320001 is a wasteful number, since it uses less digits than its factorization.

2315142320001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15702254 (or 15702247 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 2315142320001 its reverse (1000232415132), we get a palindrome (3315374735133).

The spelling of 2315142320001 in words is "two trillion, three hundred fifteen billion, one hundred forty-two million, three hundred twenty thousand, one".

Divisors: 1 3 7 17 21 49 51 59 119 147 177 357 413 833 1003 1239 2499 2891 3009 7021 8673 21063 49147 147441 15702161 47106483 109915127 266936737 329745381 769405889 800810211 926427499 1868557159 2308217667 2779282497 5605671477 6484992493 13079900113 15749267483 19454977479 39239700339 45394947451 47247802449 110244872381 136184842353 330734617143 771714106667 2315142320001