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20310300024 = 2337537331247
BaseRepresentation
bin10010111010100101…
…101001010101111000
31221102110102010212020
4102322211221111320
5313043414100044
613155212114440
71316210462460
oct227245512570
957373363766
1020310300024
1186826a9023
123b29a65a20
131bb8a70a11
14da95baba0
157dd111a19
hex4ba969578

20310300024 has 128 divisors (see below), whose sum is σ = 59936163840. Its totient is φ = 5615281152.

The previous prime is 20310300019. The next prime is 20310300071. The reversal of 20310300024 is 42000301302.

It is a junction number, because it is equal to n+sod(n) for n = 20310299976 and 20310300012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 634369 + ... + 665615.

It is an arithmetic number, because the mean of its divisors is an integer number (468251280).

Almost surely, 220310300024 is an apocalyptic number.

20310300024 is a gapful number since it is divisible by the number (24) 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 20310300024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29968081920).

20310300024 is an abundant number, since it is smaller than the sum of its proper divisors (39625863816).

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

20310300024 is a wasteful number, since it uses less digits than its factorization.

20310300024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31389 (or 31385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20310300024 its reverse (42000301302), we get a palindrome (62310601326).

The spelling of 20310300024 in words is "twenty billion, three hundred ten million, three hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 73 84 106 146 159 168 212 219 292 318 371 424 438 511 584 636 742 876 1022 1113 1272 1484 1533 1752 2044 2226 2968 3066 3869 4088 4452 6132 7738 8904 11607 12264 15476 23214 27083 30952 31247 46428 54166 62494 81249 92856 93741 108332 124988 162498 187482 216664 218729 249976 324996 374964 437458 649992 656187 749928 874916 1312374 1656091 1749832 2281031 2624748 3312182 4562062 4968273 5249496 6624364 6843093 9124124 9936546 11592637 13248728 13686186 15967217 18248248 19873092 23185274 27372372 31934434 34777911 39746184 46370548 47901651 54744744 63868868 69555822 92741096 95803302 120894643 127737736 139111644 191606604 241789286 278223288 362683929 383213208 483578572 725367858 846262501 967157144 1450735716 1692525002 2538787503 2901471432 3385050004 5077575006 6770100008 10155150012 20310300024