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20523132120 = 23353114233877
BaseRepresentation
bin10011000111010001…
…100010010011011000
31221222021220010121110
4103013101202103120
5314012410211440
613232253540320
71324403513301
oct230721422330
957867803543
1020523132120
118781855a17
123b891a46a0
131c20b9b97a
14dc997d7a8
15801b53080
hex4c74624d8

20523132120 has 128 divisors (see below), whose sum is σ = 63616573440. Its totient is φ = 5291205120.

The previous prime is 20523132103. The next prime is 20523132121. The reversal of 20523132120 is 2123132502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20523132121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5291622 + ... + 5295498.

It is an arithmetic number, because the mean of its divisors is an integer number (497004480).

Almost surely, 220523132120 is an apocalyptic number.

20523132120 is a gapful number since it is divisible by the number (20) 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 20523132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31808286720).

20523132120 is an abundant number, since it is smaller than the sum of its proper divisors (43093441320).

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

20523132120 is a wasteful number, since it uses less digits than its factorization.

20523132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 20523132120 its reverse (2123132502), we get a palindrome (22646264622).

The spelling of 20523132120 in words is "twenty billion, five hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1423 1860 2846 3720 3877 4269 5692 7115 7754 8538 11384 11631 14230 15508 17076 19385 21345 23262 28460 31016 34152 38770 42690 44113 46524 56920 58155 77540 85380 88226 93048 116310 120187 132339 155080 170760 176452 220565 232620 240374 264678 352904 360561 441130 465240 480748 529356 600935 661695 721122 882260 961496 1058712 1201870 1323390 1442244 1764520 1802805 2403740 2646780 2884488 3605610 4807480 5293560 5516971 7211220 11033942 14422440 16550913 22067884 27584855 33101826 44135768 55169710 66203652 82754565 110339420 132407304 165509130 171026101 220678840 331018260 342052202 513078303 662036520 684104404 855130505 1026156606 1368208808 1710261010 2052313212 2565391515 3420522020 4104626424 5130783030 6841044040 10261566060 20523132120