Search a number
-
+
1201333002320 = 245112124104649
BaseRepresentation
bin10001011110110101000…
…001101110000001010000
311020211211221222122101202
4101132311001232001100
5124140312222033240
62315515035250332
7152536103015123
oct21366501560120
94224757878352
101201333002320
11423534185500
121749abba99a8
1389392809389
144220559a3ba
15213b1c49315
hex117b506e050

1201333002320 has 60 divisors (see below), whose sum is σ = 3070100831700. Its totient is φ = 436848360960.

The previous prime is 1201333002299. The next prime is 1201333002323. The reversal of 1201333002320 is 232003331021.

It can be written as a sum of positive squares in 2 ways, for example, as 379293393424 + 822039608896 = 615868^2 + 906664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1201333002292 and 1201333002301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201333002323) 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 11 ways as a sum of consecutive naturals, for example, 62042645 + ... + 62062004.

It is an arithmetic number, because the mean of its divisors is an integer number (51168347195).

Almost surely, 21201333002320 is an apocalyptic number.

1201333002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201333002320 is an abundant number, since it is smaller than the sum of its proper divisors (1868767829380).

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

1201333002320 is a wasteful number, since it uses less digits than its factorization.

1201333002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124104684 (or 124104667 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1201333002320 its reverse (232003331021), we get a palindrome (1433336333341).

The spelling of 1201333002320 in words is "one trillion, two hundred one billion, three hundred thirty-three million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 124104649 248209298 496418596 620523245 992837192 1241046490 1365151139 1985674384 2482092980 2730302278 4964185960 5460604556 6825755695 9928371920 10921209112 13651511390 15016662529 21842418224 27303022780 30033325058 54606045560 60066650116 75083312645 109212091120 120133300232 150166625290 240266600464 300333250580 600666501160 1201333002320