Search a number
-
+
2314121132312 = 23111511143715227
BaseRepresentation
bin100001101011001100010…
…111100011100100011000
322012020011002011201120122
4201223030113203210120
5300403310002213222
64531031555012412
7326122036034363
oct41531427434430
98166132151518
102314121132312
11812460060870
123145aa59a108
1313a2b3b04272
148000b1db0da
15402e024aa42
hex21acc5e3918

2314121132312 has 64 divisors (see below), whose sum is σ = 4765506359040. Its totient is φ = 1044747216000.

The previous prime is 2314121132303. The next prime is 2314121132321. The reversal of 2314121132312 is 2132311214132.

It is an interprime number because it is at equal distance from previous prime (2314121132303) and next prime (2314121132321).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151967243 + ... + 151982469.

It is an arithmetic number, because the mean of its divisors is an integer number (74461036860).

Almost surely, 22314121132312 is an apocalyptic number.

2314121132312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314121132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382753179520).

2314121132312 is an abundant number, since it is smaller than the sum of its proper divisors (2451385226728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2314121132312 is a wasteful number, since it uses less digits than its factorization.

2314121132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26832 (or 26828 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 2314121132312 its reverse (2132311214132), we get a palindrome (4446432346444).

The spelling of 2314121132312 in words is "two trillion, three hundred fourteen billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 151 302 604 1208 1661 3322 6644 11437 13288 15227 22874 30454 45748 60908 91496 121816 125807 167497 251614 334994 503228 669988 1006456 1339976 1726987 2299277 3453974 4598554 6907948 9197108 13815896 18394216 18996857 25292047 37993714 50584094 75987428 101168188 151974856 174151199 202336376 348302398 696604796 1393209592 1915663189 3831326378 7662652756 15325305512 26296831049 52593662098 105187324196 210374648392 289265141539 578530283078 1157060566156 2314121132312