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20210120020000 = 25543727310973
BaseRepresentation
bin1001001100001100010010…
…00001100101000000100000
32122120001212000100110202201
410212012021001211000200
510122110311211120000
6110552222335222544
74154063420514241
oct446061101450040
978501760313681
1020210120020000
116492077969029
122324a34377a54
13b37a63123411
144dc2643c4cc8
15250aa19c496a
hex126189065020

20210120020000 has 120 divisors (see below), whose sum is σ = 51063710441436. Its totient is φ = 7865559936000.

The previous prime is 20210120019997. The next prime is 20210120020001. The reversal of 20210120020000 is 2002101202.

It can be written as a sum of positive squares in 10 ways, for example, as 131081650704 + 20079038369296 = 362052^2 + 4480964^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20210120020001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12915487 + ... + 14395486.

Almost surely, 220210120020000 is an apocalyptic number.

20210120020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20210120020000 is an abundant number, since it is smaller than the sum of its proper divisors (30853590421436).

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

20210120020000 is an equidigital number, since it uses as much as digits as its factorization.

20210120020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27311040 (or 27311017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20210120020000 its reverse (2002101202), we get a palindrome (20212122121202).

The spelling of 20210120020000 in words is "twenty trillion, two hundred ten billion, one hundred twenty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 500 592 625 740 800 925 1000 1184 1250 1480 1850 2000 2500 2960 3700 4000 4625 5000 5920 7400 9250 10000 14800 18500 20000 23125 29600 37000 46250 74000 92500 148000 185000 370000 740000 27310973 54621946 109243892 136554865 218487784 273109730 436975568 546219460 682774325 873951136 1010506001 1092438920 1365548650 2021012002 2184877840 2731097300 3413871625 4042024004 4369755680 5052530005 5462194600 6827743250 8084048008 10105060010 10924389200 13655486500 16168096016 17069358125 20210120020 21848778400 25262650025 27310973000 32336192032 34138716250 40420240040 50525300050 54621946000 68277432500 80840480080 101050600100 109243892000 126313250125 136554865000 161680960160 202101200200 252626500250 273109730000 404202400400 505253000500 546219460000 631566250625 808404800800 1010506001000 1263132501250 2021012002000 2526265002500 4042024004000 5052530005000 10105060010000 20210120020000