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20123332400 = 2452143335107
BaseRepresentation
bin10010101111011100…
…011010111100110000
31220221102121012111102
4102233130122330300
5312203033114100
613124452503532
71311450334403
oct225734327460
956842535442
1020123332400
118597107526
123a9731aba8
131b890ca5a2
14d8c82bd3a
157cb9cdcd5
hex4af71af30

20123332400 has 60 divisors (see below), whose sum is σ = 48381421992. Its totient is φ = 8043486720.

The previous prime is 20123332399. The next prime is 20123332483. The reversal of 20123332400 is 423332102.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 555647 + ... + 590753.

Almost surely, 220123332400 is an apocalyptic number.

20123332400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123332400 is an abundant number, since it is smaller than the sum of its proper divisors (28258089592).

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

20123332400 is a wasteful number, since it uses less digits than its factorization.

20123332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36558 (or 36547 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20123332400 its reverse (423332102), we get a palindrome (20546664502).

The spelling of 20123332400 in words is "twenty billion, one hundred twenty-three million, three hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1433 2866 5732 7165 11464 14330 22928 28660 35107 35825 57320 70214 71650 114640 140428 143300 175535 280856 286600 351070 561712 573200 702140 877675 1404280 1755350 2808560 3510700 7021400 14042800 50308331 100616662 201233324 251541655 402466648 503083310 804933296 1006166620 1257708275 2012333240 2515416550 4024666480 5030833100 10061666200 20123332400