Search a number
-
+
2201320231022 = 2112416127113421
BaseRepresentation
bin100000000010001000111…
…010010001000001101110
321210102222210101012221202
4200002020322101001232
5242031300434343042
64403134512125502
7315016524143063
oct40021072210156
97712883335852
102201320231022
11779635978100
122b6769836892
1312c778252b23
147878a03ac6a
153c3dc2db632
hex20088e9106e

2201320231022 has 96 divisors (see below), whose sum is σ = 3793149972864. Its totient is φ = 956577600000.

The previous prime is 2201320230979. The next prime is 2201320231093.

It is a happy number.

2201320231022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2201320230985 and 2201320231003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164013872 + ... + 164027292.

It is an arithmetic number, because the mean of its divisors is an integer number (39511978884).

Almost surely, 22201320231022 is an apocalyptic number.

2201320231022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2201320231022 is a deficient number, since it is larger than the sum of its proper divisors (1591829741842).

2201320231022 is a wasteful number, since it uses less digits than its factorization.

2201320231022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13818 (or 13807 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

It can be divided in two parts, 2201320 and 231022, that added together give a palindrome (2432342).

The spelling of 2201320231022 in words is "two trillion, two hundred one billion, three hundred twenty million, two hundred thirty-one thousand, twenty-two".

Divisors: 1 2 11 22 41 61 82 121 122 242 271 451 542 671 902 1342 2501 2981 4961 5002 5962 7381 9922 11111 13421 14762 16531 22222 26842 27511 32791 33062 55022 65582 122221 147631 181841 244442 295262 302621 363682 550261 605242 677771 818681 1100522 1344431 1355542 1623941 1637362 2000251 2688862 3247882 3637091 4000502 6052871 7274182 7455481 9005491 12105742 14910962 18010982 33565921 40008001 66581581 67131842 80016002 82010291 99060401 133163162 149120731 164020582 198120802 221862551 298241462 369225131 440088011 443725102 738450262 880176022 1640328041 2440488061 3280656082 4061476441 4880976122 8122952882 9096364591 18043608451 18192729182 26845368671 36087216902 53690737342 100060010501 200120021002 1100660115511 2201320231022