Search a number
-
+
1011012100221 = 317109367495557
BaseRepresentation
bin11101011011001010000…
…01000110000001111101
310120122121011122002002210
432231211001012001331
5113031023044201341
62052241430011033
7133020552026334
oct16554501060175
93518534562083
101011012100221
1135a849a78872
12143b35aa6a79
137445186b986
1436d0cb86d1b
151b4733e5c16
hexeb6504607d

1011012100221 has 32 divisors (see below), whose sum is σ = 1444333524480. Its totient is φ = 626826802176.

The previous prime is 1011012100207. The next prime is 1011012100237. The reversal of 1011012100221 is 1220012101101.

It is not a de Polignac number, because 1011012100221 - 26 = 1011012100157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011012100197 and 1011012100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011012108221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792375 + ... + 2287931.

It is an arithmetic number, because the mean of its divisors is an integer number (45135422640).

Almost surely, 21011012100221 is an apocalyptic number.

It is an amenable number.

1011012100221 is a deficient number, since it is larger than the sum of its proper divisors (433321424259).

1011012100221 is a wasteful number, since it uses less digits than its factorization.

1011012100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496053.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011012100221 its reverse (1220012101101), we get a palindrome (2231024201322).

The spelling of 1011012100221 in words is "one trillion, eleven billion, twelve million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 17 51 109 327 367 1101 1853 5559 6239 18717 40003 120009 495557 680051 1486671 2040153 8424469 25273407 54015713 162047139 181869419 545608257 918267121 2754801363 3091780123 9275340369 19823766671 59471300013 337004033407 1011012100221