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402241101000 = 23353197680611
BaseRepresentation
bin1011101101001110111…
…00000001110011001000
31102110020212121002121120
411312213130001303020
523042242210213000
6504441554435240
741026623642114
oct5664734016310
91373225532546
10402241101000
11145653684792
1265b59892b20
132bc14a306cb
141567ba9c744
15a6e35336a0
hex5da7701cc8

402241101000 has 128 divisors (see below), whose sum is σ = 1261364607360. Its totient is φ = 106719648000.

The previous prime is 402241100981. The next prime is 402241101011. The reversal of 402241101000 is 101142204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250695 + ... + 931305.

It is an arithmetic number, because the mean of its divisors is an integer number (9854410995).

Almost surely, 2402241101000 is an apocalyptic number.

402241101000 is a gapful number since it is divisible by the number (40) 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 402241101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630682303680).

402241101000 is an abundant number, since it is smaller than the sum of its proper divisors (859123506360).

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

402241101000 is a wasteful number, since it uses less digits than its factorization.

402241101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680832 (or 680818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 402241101000 its reverse (101142204), we get a palindrome (402342243204).

The spelling of 402241101000 in words is "four hundred two billion, two hundred forty-one million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 197 200 250 300 375 394 500 591 600 750 788 985 1000 1182 1500 1576 1970 2364 2955 3000 3940 4728 4925 5910 7880 9850 11820 14775 19700 23640 24625 29550 39400 49250 59100 73875 98500 118200 147750 197000 295500 591000 680611 1361222 2041833 2722444 3403055 4083666 5444888 6806110 8167332 10209165 13612220 16334664 17015275 20418330 27224440 34030550 40836660 51045825 68061100 81673320 85076375 102091650 134080367 136122200 170152750 204183300 255229125 268160734 340305500 402241101 408366600 510458250 536321468 670401835 680611000 804482202 1020916500 1072642936 1340803670 1608964404 2011205505 2041833000 2681607340 3217928808 3352009175 4022411010 5363214680 6704018350 8044822020 10056027525 13408036700 16089644040 16760045875 20112055050 26816073400 33520091750 40224110100 50280137625 67040183500 80448220200 100560275250 134080367000 201120550500 402241101000