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10041022420 = 22511135875981
BaseRepresentation
bin10010101100111110…
…11101011111010100
3221220202221210022021
421112133131133110
5131031000204140
64340205542524
7503553165562
oct112637353724
927822853267
1010041022420
114292993840
121b42874a44
13c403514b0
146b37a0a32
153db7b2b4a
hex2567dd7d4

10041022420 has 96 divisors (see below), whose sum is σ = 24818887296. Its totient is φ = 3364108800.

The previous prime is 10041022403. The next prime is 10041022447. The reversal of 10041022420 is 2422014001.

It is a junction number, because it is equal to n+sod(n) for n = 10041022394 and 10041022403.

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, 1675830 + ... + 1681810.

It is an arithmetic number, because the mean of its divisors is an integer number (258530076).

Almost surely, 210041022420 is an apocalyptic number.

10041022420 is a gapful number since it is divisible by the number (10) 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 10041022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12409443648).

10041022420 is an abundant number, since it is smaller than the sum of its proper divisors (14777864876).

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

10041022420 is a wasteful number, since it uses less digits than its factorization.

10041022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6601 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10041022420 its reverse (2422014001), we get a palindrome (12463036421).

The spelling of 10041022420 in words is "ten billion, forty-one million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 587 715 1174 1430 2348 2860 2935 5870 5981 6457 7631 11740 11962 12914 15262 23924 25828 29905 30524 32285 38155 59810 64570 65791 76310 77753 83941 119620 129140 131582 152620 155506 167882 263164 311012 328955 335764 388765 419705 657910 777530 839410 855283 1315820 1555060 1678820 1710566 3421132 3510847 4276415 7021694 8552830 14043388 17105660 17554235 35108470 38619317 45641011 70216940 77238634 91282022 154477268 182564044 193096585 228205055 386193170 456410110 502051121 772386340 912820220 1004102242 2008204484 2510255605 5020511210 10041022420