Search a number
-
+
1000021020201 = 34724710750101
BaseRepresentation
bin11101000110101011110…
…01011100111000101001
310112121020011222100210000
432203111321130320221
5112341020340121301
62043223041013213
7132151311264300
oct16432571347051
93477204870700
101000021020201
11356119882765
12141989024209
13733bc748428
1436589159437
151b02d519786
hexe8d5e5ce29

1000021020201 has 120 divisors (see below), whose sum is σ = 1791349312896. Its totient is φ = 554044276800.

The previous prime is 1000021020199. The next prime is 1000021020227. The reversal of 1000021020201 is 1020201200001.

It is not a de Polignac number, because 1000021020201 - 21 = 1000021020199 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1000021020001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19935051 + ... + 19985151.

Almost surely, 21000021020201 is an apocalyptic number.

It is an amenable number.

1000021020201 is a deficient number, since it is larger than the sum of its proper divisors (791328292695).

1000021020201 is a wasteful number, since it uses less digits than its factorization.

1000021020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50281 (or 50265 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1000021020201 its reverse (1020201200001), we get a palindrome (2020222220202).

The spelling of 1000021020201 in words is "one trillion, twenty-one million, twenty thousand, two hundred one".

Divisors: 1 3 7 9 21 27 47 49 63 81 107 141 147 189 321 329 423 441 567 749 963 987 1269 1323 2247 2303 2889 2961 3807 3969 5029 5243 6741 6909 8667 8883 15087 15729 20223 20727 26649 35203 45261 47187 50101 60669 62181 105609 135783 141561 150303 186543 246421 316827 350707 407349 424683 450909 739263 950481 1052121 1352727 2217789 2354747 2454949 2851443 3156363 4058181 5360807 6653367 7064241 7364847 9469089 16082421 16483229 19960101 21192723 22094541 28407267 37525649 48247263 49449687 63578169 66283623 112576947 115382603 144741789 148349061 190734507 198850869 251957929 262679543 337730841 346147809 434225367 445047183 755873787 788038629 1013192523 1038443427 1335141549 1763705503 2267621361 2364115887 3039577569 3115330281 5291116509 6802864083 7092347661 9345990843 12345938521 15873349527 20408592249 21277042983 37037815563 47620048581 111113446689 142860145743 333340340067 1000021020201