Search a number
-
+
11403313312 = 2517229239383
BaseRepresentation
bin10101001111011000…
…01100000010100000
31002102201100100002111
422213230030002200
5141323222011222
65123312325104
7552404364256
oct124754140240
932381310074
1011403313312
114921967086
122262b43794
1310c9659091
147a26985d6
1546b1a9777
hex2a7b0c0a0

11403313312 has 96 divisors (see below), whose sum is σ = 24037171200. Its totient is φ = 5306585088.

The previous prime is 11403313291. The next prime is 11403313331. The reversal of 11403313312 is 21331330411.

It is a super-3 number, since 3×114033133123 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29773473 + ... + 29773855.

It is an arithmetic number, because the mean of its divisors is an integer number (250387200).

Almost surely, 211403313312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11403313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12018585600).

11403313312 is an abundant number, since it is smaller than the sum of its proper divisors (12633857888).

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

11403313312 is a wasteful number, since it uses less digits than its factorization.

11403313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11403313312 its reverse (21331330411), we get a palindrome (32734643723).

The spelling of 11403313312 in words is "eleven billion, four hundred three million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 229 239 272 383 458 478 544 766 916 956 1532 1832 1912 3064 3664 3824 3893 4063 6128 6511 7328 7648 7786 8126 12256 13022 15572 16252 26044 31144 32504 52088 54731 62288 65008 87707 91537 104176 109462 124576 130016 175414 183074 208352 218924 350828 366148 437848 701656 732296 875696 930427 1403312 1464592 1491019 1556129 1751392 1860854 2806624 2929184 2982038 3112258 3721708 5964076 6224516 7443416 11928152 12449032 14886832 20961973 23856304 24898064 29773664 41923946 47712608 49796128 83847892 167695784 335391568 356353541 670783136 712707082 1425414164 2850828328 5701656656 11403313312