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313243123024 = 241337142328603
BaseRepresentation
bin1001000111011101011…
…11101011110101010000
31002221112110012101022001
410203232233223311100
520113010214414044
6355522451123344
731426312420426
oct4435657536520
91087473171261
10313243123024
11110933638677
12508605a3554
13237006a5a90
1411237cb7116
1582351372d4
hex48eebebd50

313243123024 has 80 divisors (see below), whose sum is σ = 671753727232. Its totient is φ = 140562584064.

The previous prime is 313243122977. The next prime is 313243123049. The reversal of 313243123024 is 420321342313.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 313243122983 and 313243123001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10937107 + ... + 10965709.

Almost surely, 2313243123024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313243123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335876863616).

313243123024 is an abundant number, since it is smaller than the sum of its proper divisors (358510604208).

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

313243123024 is a wasteful number, since it uses less digits than its factorization.

313243123024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30084 (or 30078 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 313243123024 its reverse (420321342313), we get a palindrome (733564465337).

The spelling of 313243123024 in words is "three hundred thirteen billion, two hundred forty-three million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1423 1924 2846 3848 5692 7696 11384 18499 22768 28603 36998 52651 57206 73996 105302 114412 147992 210604 228824 295984 371839 421208 457648 684463 743678 842416 1058311 1368926 1487356 2116622 2737852 2974712 4233244 5475704 5949424 8466488 10951408 13758043 16932976 27516086 40702069 55032172 81404138 110064344 162808276 220128688 325616552 529126897 651233104 1058253794 1505976553 2116507588 3011953106 4233015176 6023906212 8466030352 12047812424 19577695189 24095624848 39155390378 78310780756 156621561512 313243123024