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1020200202021 = 3711133711717841
BaseRepresentation
bin11101101100010001010…
…10111010111100100101
310121112022111200000021110
432312020222322330211
5113203332222431041
62100401250535233
7133464340431210
oct16661052727445
93545274600243
101020200202021
11363734465730
1214587ab97519
137528729b6c0
1437541164777
151b80ed7b516
hexed88abaf25

1020200202021 has 128 divisors (see below), whose sum is σ = 1877575053312. Its totient is φ = 475517952000.

The previous prime is 1020200202001. The next prime is 1020200202031. The reversal of 1020200202021 is 1202020020201.

It is not a de Polignac number, because 1020200202021 - 27 = 1020200201893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020200201988 and 1020200202006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020200202001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130107061 + ... + 130114901.

It is an arithmetic number, because the mean of its divisors is an integer number (14668555104).

Almost surely, 21020200202021 is an apocalyptic number.

1020200202021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1020200202021 is a deficient number, since it is larger than the sum of its proper divisors (857374851291).

1020200202021 is a wasteful number, since it uses less digits than its factorization.

1020200202021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9083.

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

Adding to 1020200202021 its reverse (1202020020201), we get a palindrome (2222220222222).

It can be divided in two parts, 1020200 and 202021, that added together give a palindrome (1222221).

The spelling of 1020200202021 in words is "one trillion, twenty billion, two hundred million, two hundred two thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1171 1221 1443 2849 3003 3367 3513 5291 7841 8197 8547 10101 12881 15223 15873 23523 24591 37037 38643 43327 45669 54887 86251 90167 101933 106561 111111 129981 164661 167453 258753 270501 290117 303289 305799 319683 476597 502359 563251 603757 713531 870351 909867 1121263 1172171 1429791 1689753 1811271 2030819 2140593 3191287 3336179 3363789 3516513 3771521 3942757 6092457 6195761 7848841 9181811 9573861 10008537 11314563 11828271 18587283 22339009 23546523 26400647 27545433 41486731 43370327 64272677 67017027 79201941 100999921 119363543 124460193 130110981 192818031 290407117 302999763 339727007 358090629 706999447 835544801 871221351 1019181021 1312998973 2120998341 2378089049 2506634403 3736997077 3938996919 4416451091 7134267147 9190992811 11210991231 13249353273 26158979539 27572978433 30915157637 48580962001 78476938617 92745472911 145742886003 340066734007 1020200202021