Search a number
-
+
20101287424 = 291719197617
BaseRepresentation
bin10010101110001000…
…010100111000000000
31220212220010012110211
4102232020110320000
5312131412144144
613122344203504
71311062060341
oct225610247000
956786105424
1020101287424
11858571a839
123a8ba69594
131b8467c41a
14d899300c8
157c9ac7034
hex4ae214e00

20101287424 has 160 divisors (see below), whose sum is σ = 45064213920. Its totient is φ = 8901623808.

The previous prime is 20101287413. The next prime is 20101287439. The reversal of 20101287424 is 42478210102.

It is a super-2 number, since 2×201012874242 (a number of 21 digits) contains 22 as substring.

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, 32578764 + ... + 32579380.

It is an arithmetic number, because the mean of its divisors is an integer number (281651337).

Almost surely, 220101287424 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 20101287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22532106960).

20101287424 is an abundant number, since it is smaller than the sum of its proper divisors (24962926496).

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

20101287424 is a wasteful number, since it uses less digits than its factorization.

20101287424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

Adding to 20101287424 its reverse (42478210102), we get a palindrome (62579497526).

The spelling of 20101287424 in words is "twenty billion, one hundred one million, two hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 197 256 272 304 323 394 512 544 608 617 646 788 1088 1216 1234 1292 1576 2176 2432 2468 2584 3152 3349 3743 4352 4864 4936 5168 6304 6698 7486 8704 9728 9872 10336 10489 11723 12608 13396 14972 19744 20672 20978 23446 25216 26792 29944 39488 41344 41956 46892 50432 53584 59888 63631 78976 82688 83912 93784 100864 107168 119776 121549 127262 157952 165376 167824 187568 199291 214336 239552 243098 254524 315904 335648 375136 398582 428672 479104 486196 509048 671296 750272 797164 857344 958208 972392 1018096 1342592 1500544 1594328 1714688 1916416 1944784 2036192 2066333 2309431 2685184 3001088 3188656 3889568 4072384 4132666 4618862 5370368 6002176 6377312 7779136 8144768 8265332 9237724 12754624 15558272 16289536 16530664 18475448 25509248 31116544 32579072 33061328 36950896 39260327 51018496 62233088 66122656 73901792 78520654 102036992 132245312 147803584 157041308 264490624 295607168 314082616 528981248 591214336 628165232 1057962496 1182428672 1256330464 2512660928 5025321856 10050643712 20101287424