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20122104400 = 2452172959133
BaseRepresentation
bin10010101111010111…
…101111001001010000
31220221100021210222221
4102233113233021100
5312202224320100
613124410310424
71311434031256
oct225727571120
956840253887
1020122104400
118596448952
123a96a28414
131b88a8a668
14d8c5cc5d6
157cb83a01a
hex4af5ef250

20122104400 has 60 divisors (see below), whose sum is σ = 51187099932. Its totient is φ = 7575377920.

The previous prime is 20122104397. The next prime is 20122104421. The reversal of 20122104400 is 440122102.

It can be written as a sum of positive squares in 6 ways, for example, as 2129637904 + 17992466496 = 46148^2 + 134136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1472767 + ... + 1486366.

Almost surely, 220122104400 is an apocalyptic number.

20122104400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122104400 is an abundant number, since it is smaller than the sum of its proper divisors (31064995532).

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

20122104400 is a wasteful number, since it uses less digits than its factorization.

20122104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959168 (or 2959157 counting only the distinct ones).

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

Adding to 20122104400 its reverse (440122102), we get a palindrome (20562226502).

The spelling of 20122104400 in words is "twenty billion, one hundred twenty-two million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 2959133 5918266 11836532 14795665 23673064 29591330 47346128 50305261 59182660 73978325 100610522 118365320 147956650 201221044 236730640 251526305 295913300 402442088 503052610 591826600 804884176 1006105220 1183653200 1257631525 2012210440 2515263050 4024420880 5030526100 10061052200 20122104400