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201000011110020 = 223253411413273329
BaseRepresentation
bin101101101100111011110110…
…010000110001011010000100
3222100200102011100221221010200
4231230323312100301122010
5202321141010321010040
61551254044054050500
760223525436435343
oct5554736620613204
9870612140857120
10201000011110020
1159054698237381
121a663195049a30
1388202b19475a5
14378c64971db5a
15183871179c630
hexb6cef6431684

201000011110020 has 72 divisors (see below), whose sum is σ = 609702007201560. Its totient is φ = 53599829468160.

The previous prime is 201000011110009. The next prime is 201000011110037. The reversal of 201000011110020 is 20011110000102.

It is a happy number.

201000011110020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 63298986196356 + 137701024913664 = 7956066^2 + 11734608^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201000011109984 and 201000011110011.

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, 59768716 + ... + 63042044.

It is an arithmetic number, because the mean of its divisors is an integer number (8468083433355).

Almost surely, 2201000011110020 is an apocalyptic number.

201000011110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000011110020 is an abundant number, since it is smaller than the sum of its proper divisors (408701996091540).

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

201000011110020 is a wasteful number, since it uses less digits than its factorization.

201000011110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614485 (or 3614480 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201000011110020 its reverse (20011110000102), we get a palindrome (221011121110122).

The spelling of 201000011110020 in words is "two hundred one trillion, eleven million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 341141 682282 1023423 1364564 1705705 2046846 3070269 3273329 3411410 4093692 5117115 6140538 6546658 6822820 9819987 10234230 12281076 13093316 15351345 16366645 19639974 20468460 29459961 30702690 32733290 39279948 49099935 58919922 61405380 65466580 98199870 117839844 147299805 196399740 294599610 589199220 1116666728389 2233333456778 3350000185167 4466666913556 5583333641945 6700000370334 10050000555501 11166667283890 13400000740668 16750000925835 20100001111002 22333334567780 33500001851670 40200002222004 50250002777505 67000003703340 100500005555010 201000011110020