Search a number
-
+
20100020020101 = 3273731453588683
BaseRepresentation
bin1001001000111111001101…
…00011011010001110000101
32122011112122221202222022200
410210133212203122032011
510113304320111120401
6110425453254145113
74143115143122010
oct444374643321605
978145587688280
1020100020020101
11644a40932757a
122307628052199
13b2a567cb2a98
144d6bbbc10377
1524ccaac27686
hex1247e68da385

20100020020101 has 48 divisors (see below), whose sum is σ = 33292896464256. Its totient is φ = 11447029807488.

The previous prime is 20100020020097. The next prime is 20100020020103. The reversal of 20100020020101 is 10102002000102.

It is not a de Polignac number, because 20100020020101 - 22 = 20100020020097 is a prime.

It is a super-2 number, since 2×201000200201012 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100020020103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33849706 + ... + 34438388.

It is an arithmetic number, because the mean of its divisors is an integer number (693602009672).

Almost surely, 220100020020101 is an apocalyptic number.

20100020020101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20100020020101 is a deficient number, since it is larger than the sum of its proper divisors (13192876444155).

20100020020101 is a wasteful number, since it uses less digits than its factorization.

20100020020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590522 (or 590519 counting only the distinct ones).

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

Adding to 20100020020101 its reverse (10102002000102), we get a palindrome (30202022020203).

The spelling of 20100020020101 in words is "twenty trillion, one hundred billion, twenty million, twenty thousand, one hundred one".

Divisors: 1 3 7 9 21 63 373 1119 1453 2611 3357 4359 7833 10171 13077 23499 30513 91539 541969 588683 1625907 1766049 3793783 4120781 4877721 5298147 11381349 12362343 34144047 37087029 219578759 658736277 855356399 1537051313 1976208831 2566069197 4611153939 5987494793 7698207591 13833461817 17962484379 53887453137 319047936827 957143810481 2233335557789 2871431431443 6700006673367 20100020020101