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1022120001331 = 111346715305551
BaseRepresentation
bin11101101111110110001…
…10010111111100110011
310121201021022002220211121
432313323012113330303
5113221300210020311
62101315550523111
7133563041442562
oct16677306277463
93551238086747
101022120001331
1136452a104330
12146115b06497
1375501c45220
1437684103bd9
151b8c369ab71
hexedfb197f33

1022120001331 has 16 divisors (see below), whose sum is σ = 1203383720448. Its totient is φ = 855886356000.

The previous prime is 1022120001307. The next prime is 1022120001341. The reversal of 1022120001331 is 1331000212201.

It is not a de Polignac number, because 1022120001331 - 223 = 1022111612723 is a prime.

It is a super-2 number, since 2×10221200013312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022120001341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7585995 + ... + 7719556.

It is an arithmetic number, because the mean of its divisors is an integer number (75211482528).

Almost surely, 21022120001331 is an apocalyptic number.

1022120001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1022120001331 is a deficient number, since it is larger than the sum of its proper divisors (181263719117).

1022120001331 is a wasteful number, since it uses less digits than its factorization.

1022120001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15306042.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1022120001331 its reverse (1331000212201), we get a palindrome (2353120213532).

The spelling of 1022120001331 in words is "one trillion, twenty-two billion, one hundred twenty million, one thousand, three hundred thirty-one".

Divisors: 1 11 13 143 467 5137 6071 66781 15305551 168361061 198972163 2188693793 7147692317 78624615487 92920000121 1022120001331