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20321314332100 = 22521775115917063
BaseRepresentation
bin1001001111011011011001…
…01110001101110111000100
32122221200212100001210100021
410213231230232031313010
510130421022432111400
6111115252151224524
74165111053543205
oct447555456156704
978850770053307
1020321314332100
11652524818a531
1223424a7078144
13b453a3ba2872
145037b20575ac
1525390d88271a
hex127b6cb8ddc4

20321314332100 has 72 divisors (see below), whose sum is σ = 46753383091968. Its totient is φ = 7640189760000.

The previous prime is 20321314331957. The next prime is 20321314332113. The reversal of 20321314332100 is 123341312302.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6681832 + ... + 9235231.

It is an arithmetic number, because the mean of its divisors is an integer number (649352542944).

Almost surely, 220321314332100 is an apocalyptic number.

20321314332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20321314332100 is an abundant number, since it is smaller than the sum of its proper divisors (26432068759868).

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

20321314332100 is a wasteful number, since it uses less digits than its factorization.

20321314332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15917845 (or 15917838 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 20321314332100 its reverse (123341312302), we get a palindrome (20444655644402).

The spelling of 20321314332100 in words is "twenty trillion, three hundred twenty-one billion, three hundred fourteen million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 751 850 1502 1700 3004 3755 7510 12767 15020 18775 25534 37550 51068 63835 75100 127670 255340 319175 638350 1276700 15917063 31834126 63668252 79585315 159170630 270590071 318341260 397926575 541180142 795853150 1082360284 1352950355 1591706300 2705900710 5411801420 6764751775 11953714313 13529503550 23907428626 27059007100 47814857252 59768571565 119537143130 203213143321 239074286260 298842857825 406426286642 597685715650 812852573284 1016065716605 1195371431300 2032131433210 4064262866420 5080328583025 10160657166050 20321314332100