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20100424400 = 245277178723
BaseRepresentation
bin10010101110000101…
…000010001011010000
31220212211111100121222
4102232011002023100
5312131202040100
613122313504212
71311051534260
oct225605021320
956784440558
1020100424400
1185851903a1
123a8b712068
131b84439664
14d897877a0
157c99a6485
hex4ae1422d0

20100424400 has 60 divisors (see below), whose sum is σ = 55190030112. Its totient is φ = 6891573120.

The previous prime is 20100424363. The next prime is 20100424427. The reversal of 20100424400 is 442400102.

It is a super-2 number, since 2×201004244002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3586562 + ... + 3592161.

Almost surely, 220100424400 is an apocalyptic number.

20100424400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100424400 is an abundant number, since it is smaller than the sum of its proper divisors (35089605712).

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

20100424400 is a wasteful number, since it uses less digits than its factorization.

20100424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178748 (or 7178737 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 20100424400 its reverse (442400102), we get a palindrome (20542824502).

The spelling of 20100424400 in words is "twenty billion, one hundred million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 7178723 14357446 28714892 35893615 50251061 57429784 71787230 100502122 114859568 143574460 179468075 201004244 251255305 287148920 358936150 402008488 502510610 574297840 717872300 804016976 1005021220 1256276525 1435744600 2010042440 2512553050 2871489200 4020084880 5025106100 10050212200 20100424400