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20210011210000 = 245413714751833
BaseRepresentation
bin1001001100001100000101…
…00010100000000100010000
32122120001120102121100111201
410212012002202200010100
510122110100332210000
6110552203451120544
74154060626610023
oct446060242400420
978501512540451
1020210011210000
1164920214aa507
122324a03a43154
13b37a467168c1
144dc253b7d1ba
15250a9717e96a
hex1261828a0110

20210011210000 has 100 divisors (see below), whose sum is σ = 49287618110412. Its totient is φ = 8024996608000.

The previous prime is 20210011209977. The next prime is 20210011210001. The reversal of 20210011210000 is 1211001202.

It can be written as a sum of positive squares in 10 ways, for example, as 18532095131664 + 1677916078336 = 4304892^2 + 1295344^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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 (20210011210001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6005917 + ... + 8745916.

Almost surely, 220210011210000 is an apocalyptic number.

20210011210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20210011210000 is an abundant number, since it is smaller than the sum of its proper divisors (29077606900412).

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

20210011210000 is a wasteful number, since it uses less digits than its factorization.

20210011210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14751998 (or 14751977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20210011210000 its reverse (1211001202), we get a palindrome (20211222211202).

The spelling of 20210011210000 in words is "twenty trillion, two hundred ten billion, eleven million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 137 200 250 274 400 500 548 625 685 1000 1096 1250 1370 2000 2192 2500 2740 3425 5000 5480 6850 10000 10960 13700 17125 27400 34250 54800 68500 85625 137000 171250 274000 342500 685000 1370000 14751833 29503666 59007332 73759165 118014664 147518330 236029328 295036660 368795825 590073320 737591650 1180146640 1475183300 1843979125 2021001121 2950366600 3687958250 4042002242 5900733200 7375916500 8084004484 9219895625 10105005605 14751833000 16168008968 18439791250 20210011210 29503666000 32336017936 36879582500 40420022420 50525028025 73759165000 80840044840 101050056050 147518330000 161680089680 202100112100 252625140125 404200224200 505250280250 808400448400 1010500560500 1263125700625 2021001121000 2526251401250 4042002242000 5052502802500 10105005605000 20210011210000