Search a number
-
+
123072427269 = 33113113367267
BaseRepresentation
bin111001010011110110…
…0000011010100000101
3102202200010111002101000
41302213230003110011
54004023020133034
6132312205123513
711614564241211
oct1624754032405
9382603432330
10123072427269
11482161a4210
121ba28859599
13b7b48aa17c
145d57403941
153304aa4599
hex1ca7b03505

123072427269 has 32 divisors (see below), whose sum is σ = 205321236480. Its totient is φ = 72183236400.

The previous prime is 123072427267. The next prime is 123072427343. The reversal of 123072427269 is 962724270321.

123072427269 is a `hidden beast` number, since 12 + 307 + 2 + 4 + 272 + 69 = 666.

It is not a de Polignac number, because 123072427269 - 21 = 123072427267 is a prime.

It is a super-2 number, since 2×1230724272692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123072427267) 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 31 ways as a sum of consecutive naturals, for example, 6674427 + ... + 6692840.

It is an arithmetic number, because the mean of its divisors is an integer number (6416288640).

Almost surely, 2123072427269 is an apocalyptic number.

It is an amenable number.

123072427269 is a deficient number, since it is larger than the sum of its proper divisors (82248809211).

123072427269 is a wasteful number, since it uses less digits than its factorization.

123072427269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13367318 (or 13367312 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 123072427269 in words is "one hundred twenty-three billion, seventy-two million, four hundred twenty-seven thousand, two hundred sixty-nine".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 3069 9207 13367267 40101801 120305403 147039937 360916209 414385277 441119811 1243155831 1323359433 3729467493 3970078299 4558238047 11188402479 13674714141 41024142423 123072427269