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10003423400 = 2352461108497
BaseRepresentation
bin10010101000100000…
…00010000010101000
3221211011012120010222
421110100002002220
5130441334022100
64332344025212
7502615460465
oct112420020250
927734176128
1010003423400
114273743073
121b32162208
13c35618759
146ac7b466c
153d8337485
hex2544020a8

10003423400 has 48 divisors (see below), whose sum is σ = 23308625340. Its totient is φ = 3992652800.

The previous prime is 10003423399. The next prime is 10003423429. The reversal of 10003423400 is 432430001.

It can be written as a sum of positive squares in 6 ways, for example, as 6097423396 + 3906000004 = 78086^2 + 62498^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37952 + ... + 146448.

Almost surely, 210003423400 is an apocalyptic number.

10003423400 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 10003423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654312670).

10003423400 is an abundant number, since it is smaller than the sum of its proper divisors (13305201940).

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

10003423400 is a wasteful number, since it uses less digits than its factorization.

10003423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108974 (or 108965 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 10003423400 its reverse (432430001), we get a palindrome (10435853401).

The spelling of 10003423400 in words is "ten billion, three million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 461 922 1844 2305 3688 4610 9220 11525 18440 23050 46100 92200 108497 216994 433988 542485 867976 1084970 2169940 2712425 4339880 5424850 10849700 21699400 50017117 100034234 200068468 250085585 400136936 500171170 1000342340 1250427925 2000684680 2500855850 5001711700 10003423400