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11403523032 = 23311216324091
BaseRepresentation
bin10101001111011001…
…11111001111011000
31002102201201222202220
422213230333033120
5141323300214112
65123321024040
7552406226556
oct124754771730
932381658686
1011403523032
114921a9a700
122263025020
1310c9700685
147a2710bd6
1546b1eb98c
hex2a7b3f3d8

11403523032 has 96 divisors (see below), whose sum is σ = 31529682240. Its totient is φ = 3434270400.

The previous prime is 11403523031. The next prime is 11403523049. The reversal of 11403523032 is 23032530411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11403522993 and 11403523011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11403523031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461307 + ... + 485397.

It is an arithmetic number, because the mean of its divisors is an integer number (328434190).

Almost surely, 211403523032 is an apocalyptic number.

11403523032 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 11403523032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15764841120).

11403523032 is an abundant number, since it is smaller than the sum of its proper divisors (20126159208).

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

11403523032 is a wasteful number, since it uses less digits than its factorization.

11403523032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24285 (or 24270 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

It can be divided in two parts, 11403 and 523032, that added together give a palindrome (534435).

The spelling of 11403523032 in words is "eleven billion, four hundred three million, five hundred twenty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 163 242 264 326 363 484 489 652 726 968 978 1304 1452 1793 1956 2904 3586 3912 5379 7172 10758 14344 19723 21516 24091 39446 43032 48182 59169 72273 78892 96364 118338 144546 157784 192728 236676 265001 289092 473352 530002 578184 795003 1060004 1590006 2120008 2915011 3180012 3926833 5830022 6360024 7853666 8745033 11660044 11780499 15707332 17490066 23320088 23560998 31414664 34980132 43195163 47121996 69960264 86390326 94243992 129585489 172780652 259170978 345561304 475146793 518341956 950293586 1036683912 1425440379 1900587172 2850880758 3801174344 5701761516 11403523032