Search a number
-
+
1131210220231 = 71321078936651
BaseRepresentation
bin10000011101100001011…
…000100010001011000111
311000010211222121020011101
4100131201120202023013
5122013204304021411
62223400520520531
7144504305136160
oct20354130421307
94003758536141
101131210220231
113a681a751433
121632a0020147
1382898b02700
143ca72542767
151e65a9838c1
hex107616222c7

1131210220231 has 24 divisors (see below), whose sum is σ = 1412991921024. Its totient is φ = 886658666400.

The previous prime is 1131210220229. The next prime is 1131210220253. The reversal of 1131210220231 is 1320220121311.

It is not a de Polignac number, because 1131210220231 - 21 = 1131210220229 is a prime.

It is a super-2 number, since 2×11312102202312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1131210220199 and 1131210220208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131210220531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4341745 + ... + 4594906.

It is an arithmetic number, because the mean of its divisors is an integer number (58874663376).

Almost surely, 21131210220231 is an apocalyptic number.

1131210220231 is a deficient number, since it is larger than the sum of its proper divisors (281781700793).

1131210220231 is a wasteful number, since it uses less digits than its factorization.

1131210220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936791 (or 8936778 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1131210220231 its reverse (1320220121311), we get a palindrome (2451430341542).

The spelling of 1131210220231 in words is "one trillion, one hundred thirty-one billion, two hundred ten million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 7 13 91 107 169 749 1183 1391 9737 18083 126581 8936651 62556557 116176463 813235241 956221657 1510294019 6693551599 10572058133 12430881541 87016170787 161601460033 1131210220231