Search a number
-
+
1123711310853 = 333137211383449
BaseRepresentation
bin10000010110100010011…
…010011101110000000101
310222102111101002011101000
4100112202122131300011
5121402330043421403
62220120441123513
7144120420354465
oct20264232356005
93872441064330
101123711310853
113a362181586a
12161948789599
1381c72336c21
143c560635ba5
151e36c4697a3
hex105a269dc05

1123711310853 has 128 divisors (see below), whose sum is σ = 1781858304000. Its totient is φ = 698645606400.

The previous prime is 1123711310837. The next prime is 1123711310857. The reversal of 1123711310853 is 3580131173211.

It is not a de Polignac number, because 1123711310853 - 24 = 1123711310837 is a prime.

It is a super-2 number, since 2×11237113108532 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123711310857) 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 127 ways as a sum of consecutive naturals, for example, 2502697573 + ... + 2502698021.

It is an arithmetic number, because the mean of its divisors is an integer number (13920768000).

Almost surely, 21123711310853 is an apocalyptic number.

It is an amenable number.

1123711310853 is a deficient number, since it is larger than the sum of its proper divisors (658146993147).

1123711310853 is a wasteful number, since it uses less digits than its factorization.

1123711310853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 1123711310853 in words is "one trillion, one hundred twenty-three billion, seven hundred eleven million, three hundred ten thousand, eight hundred fifty-three".

Divisors: 1 3 9 27 31 37 93 111 211 279 333 383 449 633 837 999 1147 1149 1347 1899 3441 3447 4041 5697 6541 7807 10323 10341 11873 12123 13919 14171 16613 19623 23421 30969 35619 41757 42513 49839 58869 70263 80813 94739 106857 125271 127539 149517 171967 176607 210789 242017 242439 284217 320571 375813 382617 439301 448551 515003 515901 726051 727317 852651 1317903 1545009 1547703 2178153 2181951 2505203 2557953 2936909 2990081 3505343 3953709 4635027 4643109 5330977 6362779 6534459 7515609 8810727 8970243 10516029 11861127 13905081 15992931 19088337 22546827 26432181 26910729 31548087 36285037 47978793 57265011 67640481 79296543 80732187 92692511 94644261 108665633 108855111 143936379 171795033 197246149 278077533 325996899 326565333 591738447 834232599 977990697 979695999 1124836147 1342546369 1775215341 2502697797 2933972091 3374508441 4027639107 5325646023 10123525323 12082917321 30370575969 36248751963 41618937439 124856812317 374570436951 1123711310853