Search a number
-
+
2102000020011 = 344119711232861
BaseRepresentation
bin11110100101101000111…
…101101110101000101011
321102221121222212201220000
4132211220331232220223
5233414344001120021
64245351231234043
7304602343240503
oct36455075565053
97387558781800
102102000020011
117404a9237591
1229b46b678923
131232aa5272b8
1473a473b2a03
1539a27ad0b26
hex1e968f6ea2b

2102000020011 has 80 divisors (see below), whose sum is σ = 3236948513568. Its totient is φ = 1358528371200.

The previous prime is 2102000019953. The next prime is 2102000020013. The reversal of 2102000020011 is 1100200002012.

It is not a de Polignac number, because 2102000020011 - 211 = 2102000017963 is a prime.

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 = 2102000019975 and 2102000020002.

It is not an unprimeable number, because it can be changed into a prime (2102000020013) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 734706721 + ... + 734709581.

Almost surely, 22102000020011 is an apocalyptic number.

2102000020011 is a deficient number, since it is larger than the sum of its proper divisors (1134948493557).

2102000020011 is a wasteful number, since it uses less digits than its factorization.

2102000020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4225 counting only the distinct ones).

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

Adding to 2102000020011 its reverse (1100200002012), we get a palindrome (3202200022023).

The spelling of 2102000020011 in words is "two trillion, one hundred two billion, twenty thousand, eleven".

Divisors: 1 3 9 27 41 81 123 197 369 591 1107 1123 1773 2861 3321 3369 5319 8077 8583 10107 15957 24231 25749 30321 46043 72693 77247 90963 117301 138129 218079 221231 231741 351903 414387 563617 654237 663693 1055709 1243161 1690851 1991079 3167127 3212903 3729483 5072553 5973237 9070471 9501381 9638709 15217659 17919711 23108297 27211413 28916127 45652977 69324891 81634239 86748381 131729023 207974673 244902717 260245143 395187069 623924019 632941891 734708151 1185561207 1871772057 1898825673 3556683621 5696477019 10670050863 17089431057 25950617531 51268293171 77851852593 233555557779 700666673337 2102000020011