Search a number
-
+
313131014154 = 23276171573809
BaseRepresentation
bin1001000111010000001…
…00000001100000001010
31002221020122020122211200
410203220010001200022
520112243014423104
6355503404205030
731423451463420
oct4435004014012
91087218218750
10313131014154
11110886326612
125082ab39776
13236b33b287a
1411227053110
15822a38eb39
hex48e810180a

313131014154 has 96 divisors (see below), whose sum is σ = 799184206080. Its totient is φ = 86759769600.

The previous prime is 313131014149. The next prime is 313131014159. The reversal of 313131014154 is 451410131313.

It is an interprime number because it is at equal distance from previous prime (313131014149) and next prime (313131014159).

It is a super-2 number, since 2×3131310141542 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (313131014159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258802 + ... + 832610.

It is an arithmetic number, because the mean of its divisors is an integer number (8324835480).

Almost surely, 2313131014154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313131014154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399592103040).

313131014154 is an abundant number, since it is smaller than the sum of its proper divisors (486053191926).

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

313131014154 is a wasteful number, since it uses less digits than its factorization.

313131014154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573956 (or 573953 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 313131014154 its reverse (451410131313), we get a palindrome (764541145467).

The spelling of 313131014154 in words is "three hundred thirteen billion, one hundred thirty-one million, fourteen thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 71 122 126 142 183 213 366 426 427 497 549 639 854 994 1098 1278 1281 1491 2562 2982 3843 4331 4473 7686 8662 8946 12993 25986 30317 38979 60634 77958 90951 181902 272853 545706 573809 1147618 1721427 3442854 4016663 5164281 8033326 10328562 12049989 24099978 35002349 36149967 40740439 70004698 72299934 81480878 105007047 122221317 210014094 244442634 245016443 285183073 315021141 366663951 490032886 570366146 630042282 733327902 735049329 855549219 1470098658 1711098438 2205147987 2485166779 2566647657 4410295974 4970333558 5133295314 7455500337 14911000674 17396167453 22366501011 34792334906 44733002022 52188502359 104377004718 156565507077 313131014154