Search a number
-
+
1131200100312 = 23354786166979
BaseRepresentation
bin10000011101100000110…
…001111011011111011000
311000010211021120002020120
4100131200301323133120
5122013144211202222
62223355515553240
7144504123130062
oct20354061733730
94003737502216
101131200100312
113a6814a6a167
1216329875b820
138289699b3a9
143ca7106a732
151e659b3515c
hex10760c7b7d8

1131200100312 has 32 divisors (see below), whose sum is σ = 2833170302400. Its totient is φ = 376377359904.

The previous prime is 1131200100299. The next prime is 1131200100313. The reversal of 1131200100312 is 2130010021311.

It is a happy number.

It is a super-2 number, since 2×11312001003122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131200100291 and 1131200100300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131200100313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43070362 + ... + 43096617.

It is an arithmetic number, because the mean of its divisors is an integer number (88536571950).

Almost surely, 21131200100312 is an apocalyptic number.

1131200100312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1131200100312 is an abundant number, since it is smaller than the sum of its proper divisors (1701970202088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131200100312 is a wasteful number, since it uses less digits than its factorization.

1131200100312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86167535 (or 86167531 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1131200100312 its reverse (2130010021311), we get a palindrome (3261210121623).

The spelling of 1131200100312 in words is "one trillion, one hundred thirty-one billion, two hundred million, one hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 547 1094 1641 2188 3282 4376 6564 13128 86166979 172333958 258500937 344667916 517001874 689335832 1034003748 2068007496 47133337513 94266675026 141400012539 188533350052 282800025078 377066700104 565600050156 1131200100312