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11313113310 = 2325834633271
BaseRepresentation
bin10101000100101000…
…00110100011011110
31002012102121200221200
422202110012203132
5141132124111220
65110331140330
7550230606432
oct124224064336
932172550850
1011313113310
114885a59524
1222388a46a6
1310b3a670b5
147946d89c2
154632dd890
hex2a25068de

11313113310 has 96 divisors (see below), whose sum is σ = 29841896448. Its totient is φ = 2973136320.

The previous prime is 11313113299. The next prime is 11313113321. The reversal of 11313113310 is 1331131311.

11313113310 is a `hidden beast` number, since 11 + 31 + 311 + 3 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (11313113299) and next prime (11313113321).

It is a super-2 number, since 2×113131133102 (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 Curzon number.

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, 3456975 + ... + 3460245.

It is an arithmetic number, because the mean of its divisors is an integer number (310853088).

Almost surely, 211313113310 is an apocalyptic number.

11313113310 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 11313113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14920948224).

11313113310 is an abundant number, since it is smaller than the sum of its proper divisors (18528783138).

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

11313113310 is a wasteful number, since it uses less digits than its factorization.

11313113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11313113310 its reverse (1331131311), we get a palindrome (12644244621).

The spelling of 11313113310 in words is "eleven billion, three hundred thirteen million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 249 415 463 498 747 830 926 1245 1389 1494 2315 2490 2778 3271 3735 4167 4630 6542 6945 7470 8334 9813 13890 16355 19626 20835 29439 32710 38429 41670 49065 58878 76858 98130 115287 147195 192145 230574 271493 294390 345861 384290 542986 576435 691722 814479 1152870 1357465 1514473 1628958 1729305 2443437 2714930 3028946 3458610 4072395 4543419 4886874 7572365 8144790 9086838 12217185 13630257 15144730 22717095 24434370 27260514 45434190 68151285 125701259 136302570 251402518 377103777 628506295 754207554 1131311331 1257012590 1885518885 2262622662 3771037770 5656556655 11313113310