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12141313024 = 210113317331
BaseRepresentation
bin10110100111010110…
…11011110000000000
31011100011000121101011
423103223123300000
5144331134004044
65324434250304
7606605313031
oct132353336000
934304017334
1012141313024
1151705001a5
12242a126994
1311b65116b9
148326c4a88
154b0d86134
hex2d3adbc00

12141313024 has 88 divisors (see below), whose sum is σ = 24637004208. Its totient is φ = 5979832320.

The previous prime is 12141313021. The next prime is 12141313027. The reversal of 12141313024 is 42031314121.

It is an interprime number because it is at equal distance from previous prime (12141313021) and next prime (12141313027).

It is a super-2 number, since 2×121413130242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12141312986 and 12141313004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141313021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36680539 + ... + 36680869.

Almost surely, 212141313024 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 12141313024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12318502104).

12141313024 is an abundant number, since it is smaller than the sum of its proper divisors (12495691184).

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

12141313024 is a wasteful number, since it uses less digits than its factorization.

12141313024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12141313024 its reverse (42031314121), we get a palindrome (54172627145).

The spelling of 12141313024 in words is "twelve billion, one hundred forty-one million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 317 331 452 512 634 662 904 1024 1268 1324 1808 2536 2648 3616 5072 5296 7232 10144 10592 14464 20288 21184 28928 35821 37403 40576 42368 57856 71642 74806 81152 84736 104927 115712 143284 149612 162304 169472 209854 286568 299224 324608 338944 419708 573136 598448 839416 1146272 1196896 1678832 2292544 2393792 3357664 4585088 4787584 6715328 9170176 9575168 11856751 13430656 18340352 19150336 23713502 26861312 36680704 38300672 47427004 53722624 94854008 107445248 189708016 379416032 758832064 1517664128 3035328256 6070656512 12141313024