Search a number
-
+
1011210201001 = 7111397103101111
BaseRepresentation
bin11101011011100001101…
…00110010011110101001
310120200002222101122021201
432231300310302132221
5113031424302413001
62052313224004201
7133025505613540
oct16556064623651
93520088348251
101011210201001
1135a940883920
12143b90300661
137448390c680
1436d2b1d3157
151b4859c7501
hexeb70d327a9

1011210201001 has 64 divisors (see below), whose sum is σ = 1385037029376. Its totient is φ = 712849766400.

The previous prime is 1011210200971. The next prime is 1011210201007. The reversal of 1011210201001 is 1001020121101.

It is a cyclic number.

It is not a de Polignac number, because 1011210201001 - 215 = 1011210168233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011210201007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9950436 + ... + 10051546.

It is an arithmetic number, because the mean of its divisors is an integer number (21641203584).

Almost surely, 21011210201001 is an apocalyptic number.

1011210201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011210201001 is a deficient number, since it is larger than the sum of its proper divisors (373826828375).

1011210201001 is a wasteful number, since it uses less digits than its factorization.

1011210201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101342.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011210201001 its reverse (1001020121101), we get a palindrome (2012230322102).

It can be divided in two parts, 1011 and 210201001, that added together give a palindrome (210202012).

The spelling of 1011210201001 in words is "one trillion, eleven billion, two hundred ten million, two hundred one thousand, one".

Divisors: 1 7 11 13 77 91 97 103 143 679 721 1001 1067 1133 1261 1339 7469 7931 8827 9373 9991 13871 14729 69937 97097 101111 103103 109901 129883 707777 769307 909181 1112221 1314443 1428713 7785547 9201101 9807767 10000991 10414433 14458873 68654369 72901031 101212111 107885437 114558763 127500971 135387629 755198059 801911341 892506797 947713403 1010200001 1402510681 1489263919 7071400007 9817574767 10424847433 11112200011 13132600013 77785400077 91928200091 144458600143 1011210201001