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11303312310 = 23252923318587
BaseRepresentation
bin10101000011011101…
…01101101110110110
31002011202011202111200
422201232231232312
5141122121443220
65105341113330
7550051366203
oct124156555666
932152152450
1011303312310
114880474924
122235558846
1310b1a14ca4
147932a6caa
15462504890
hex2a1badbb6

11303312310 has 96 divisors (see below), whose sum is σ = 30534135840. Its totient is φ = 2897631744.

The previous prime is 11303312309. The next prime is 11303312353. The reversal of 11303312310 is 1321330311.

It is a happy number.

11303312310 is a `hidden beast` number, since 11 + 30 + 3 + 312 + 310 = 666.

It is a super-2 number, since 2×113033123102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598837 + ... + 617423.

It is an arithmetic number, because the mean of its divisors is an integer number (318063915).

Almost surely, 211303312310 is an apocalyptic number.

11303312310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11303312310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15267067920).

11303312310 is an abundant number, since it is smaller than the sum of its proper divisors (19230823530).

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

11303312310 is a wasteful number, since it uses less digits than its factorization.

11303312310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18862 (or 18859 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11303312310 its reverse (1321330311), we get a palindrome (12624642621).

The spelling of 11303312310 in words is "eleven billion, three hundred three million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 233 261 290 435 466 522 699 870 1165 1305 1398 2097 2330 2610 3495 4194 6757 6990 10485 13514 18587 20271 20970 33785 37174 40542 55761 60813 67570 92935 101355 111522 121626 167283 185870 202710 278805 304065 334566 539023 557610 608130 836415 1078046 1617069 1672830 2695115 3234138 4330771 4851207 5390230 8085345 8661542 9702414 12992313 16170690 21653855 24256035 25984626 38976939 43307710 48512070 64961565 77953878 125592359 129923130 194884695 251184718 376777077 389769390 627961795 753554154 1130331231 1255923590 1883885385 2260662462 3767770770 5651656155 11303312310