Search a number
-
+
1201130300112 = 243172601144071
BaseRepresentation
bin10001011110101000111…
…100011110001011010000
311020211022211120022020120
4101132220330132023100
5124134403324100422
62315442554510240
7152531062044441
oct21365074361320
94224284508216
101201130300112
1142343a817316
12174954135380
138935c817142
14421c66b32c8
152139e05945c
hex117a8f1e2d0

1201130300112 has 120 divisors (see below), whose sum is σ = 3301688803392. Its totient is φ = 376195584000.

The previous prime is 1201130300107. The next prime is 1201130300147. The reversal of 1201130300112 is 2110030311021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1201130300091 and 1201130300100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8265037 + ... + 8409107.

Almost surely, 21201130300112 is an apocalyptic number.

1201130300112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201130300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650844401696).

1201130300112 is an abundant number, since it is smaller than the sum of its proper divisors (2100558503280).

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

1201130300112 is a wasteful number, since it uses less digits than its factorization.

1201130300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144717 (or 144694 counting only the distinct ones).

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

Adding to 1201130300112 its reverse (2110030311021), we get a palindrome (3311160611133).

The spelling of 1201130300112 in words is "one trillion, two hundred one billion, one hundred thirty million, three hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 601 816 867 1156 1202 1734 1803 2312 2404 3468 3606 4624 4808 6936 7212 9616 10217 13872 14424 20434 28848 30651 40868 61302 81736 122604 144071 163472 173689 245208 288142 347378 432213 490416 521067 576284 694756 864426 1042134 1152568 1389512 1728852 2084268 2305136 2449207 2779024 3457704 4168536 4898414 6915408 7347621 8337072 9796828 14695242 19593656 29390484 39187312 41636519 58780968 83273038 86586671 117561936 124909557 166546076 173173342 249819114 259760013 333092152 346346684 499638228 519520026 666184304 692693368 999276456 1039040052 1385386736 1471973407 1998552912 2078080104 2943946814 4156160208 4415920221 5887893628 8831840442 11775787256 17663680884 23551574512 25023547919 35327361768 50047095838 70654723536 75070643757 100094191676 150141287514 200188383352 300282575028 400376766704 600565150056 1201130300112