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1020202020201 = 37133710129901
BaseRepresentation
bin11101101100010001100…
…01110110110101101001
310121112022122002101100110
432312020301312311221
5113203333204121301
62100401353524533
7133464362043060
oct16661061666551
93545278071313
101020202020201
11363735497761
1214587b713749
1375287787150
14375414b91d7
151b8100da0d6
hexed88c76d69

1020202020201 has 96 divisors (see below), whose sum is σ = 1736793689344. Its totient is φ = 518348160000.

The previous prime is 1020202020199. The next prime is 1020202020209.

1020202020201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1020202020201 - 21 = 1020202020199 is a prime.

It is a super-2 number, since 2×10202020202012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020202020209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103035351 + ... + 103045251.

Almost surely, 21020202020201 is an apocalyptic number.

It is an amenable number.

1020202020201 is a deficient number, since it is larger than the sum of its proper divisors (716591669143).

1020202020201 is a wasteful number, since it uses less digits than its factorization.

1020202020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10163 (or 10062 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 1020202020201 in words is "one trillion, twenty billion, two hundred two million, twenty thousand, two hundred one".

Divisors: 1 3 7 13 21 37 39 91 101 111 259 273 303 481 707 777 1313 1443 2121 3367 3737 3939 9191 9901 10101 10201 11211 26159 27573 29703 30603 48581 69307 71407 78477 128713 132613 145743 207921 214221 340067 366337 377437 386139 397839 900991 928291 1000001 1020201 1099011 1132311 2564359 2642059 2702973 2784873 3000003 4762381 4906681 7000007 7693077 7926177 13000013 14287143 14720043 21000021 33336667 34346767 37000037 39000039 91000091 100010001 101000101 103040301 111000111 259000259 273000273 303000303 481000481 707000707 777000777 1313001313 1443001443 2121002121 3367003367 3737003737 3939003939 9191009191 10101010101 11211011211 26159026159 27573027573 48581048581 78477078477 145743145743 340067340067 1020202020201