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10410114420 = 22325106954101
BaseRepresentation
bin10011011000111110…
…11011110101110100
3222212111110121100100
421230133123311310
5132304442130140
64440552514100
7515654340546
oct115437336564
928774417310
1010410114420
114462269052
1220263ab930
13c9b960724
1470a7db696
1540ddbd530
hex26c7dbd74

10410114420 has 72 divisors (see below), whose sum is σ = 31607470440. Its totient is φ = 2773382400.

The previous prime is 10410114419. The next prime is 10410114431. The reversal of 10410114420 is 2441101401.

It can be written as a sum of positive squares in 4 ways, for example, as 2047743504 + 8362370916 = 45252^2 + 91446^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10410114393 and 10410114402.

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, 165370 + ... + 219470.

It is an arithmetic number, because the mean of its divisors is an integer number (438992645).

Almost surely, 210410114420 is an apocalyptic number.

10410114420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10410114420 is an abundant number, since it is smaller than the sum of its proper divisors (21197356020).

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

10410114420 is a wasteful number, since it uses less digits than its factorization.

10410114420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55185 (or 55180 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10410114420 its reverse (2441101401), we get a palindrome (12851215821).

The spelling of 10410114420 in words is "ten billion, four hundred ten million, one hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1069 2138 3207 4276 5345 6414 9621 10690 12828 16035 19242 21380 32070 38484 48105 54101 64140 96210 108202 162303 192420 216404 270505 324606 486909 541010 649212 811515 973818 1082020 1623030 1947636 2434545 3246060 4869090 9738180 57833969 115667938 173501907 231335876 289169845 347003814 520505721 578339690 694007628 867509535 1041011442 1156679380 1735019070 2082022884 2602528605 3470038140 5205057210 10410114420