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20241000032 = 25112109199241
BaseRepresentation
bin10010110110011101…
…010010011001100000
31221020122000100010212
4102312131102121200
5312423144000112
613144254513252
71314406442621
oct226635223140
957218010125
1020241000032
118647575a00
123b0a805828
131ba75b89c6
14da02dba48
157d6ec3522
hex4b6752660

20241000032 has 144 divisors (see below), whose sum is σ = 44609796000. Its totient is φ = 9032601600.

The previous prime is 20241000001. The next prime is 20241000049. The reversal of 20241000032 is 23000014202.

It is a junction number, because it is equal to n+sod(n) for n = 20240999980 and 20241000016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83987432 + ... + 83987672.

It is an arithmetic number, because the mean of its divisors is an integer number (309790250).

Almost surely, 220241000032 is an apocalyptic number.

20241000032 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 20241000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22304898000).

20241000032 is an abundant number, since it is smaller than the sum of its proper divisors (24368795968).

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

20241000032 is a wasteful number, since it uses less digits than its factorization.

20241000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 20241000032 its reverse (23000014202), we get a palindrome (43241014234).

The spelling of 20241000032 in words is "twenty billion, two hundred forty-one million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 44 88 109 121 176 199 218 241 242 352 398 436 482 484 796 872 964 968 1199 1592 1744 1928 1936 2189 2398 2651 3184 3488 3856 3872 4378 4796 5302 6368 7712 8756 9592 10604 13189 17512 19184 21208 21691 24079 26269 26378 29161 35024 38368 42416 43382 47959 48158 52538 52756 58322 70048 84832 86764 95918 96316 105076 105512 116644 173528 191836 192632 210152 211024 233288 238601 288959 347056 383672 385264 420304 422048 466576 477202 527549 577918 694112 767344 770528 840608 933152 954404 1055098 1155836 1534688 1908808 2110196 2311672 2624611 3178549 3817616 4220392 4623344 5227531 5249222 5803039 6357098 7635232 8440784 9246688 10455062 10498444 11606078 12714196 16881568 20910124 20996888 23212156 25428392 41820248 41993776 46424312 50856784 57502841 83640496 83987552 92848624 101713568 115005682 167280992 185697248 230011364 460022728 632531251 920045456 1265062502 1840090912 2530125004 5060250008 10120500016 20241000032