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1131313032234 = 2327211233949853
BaseRepresentation
bin10000011101100111100…
…000101110110000101010
311000011010011001121201100
4100131213200232300222
5122013412114012414
62223415032302230
7144506664052500
oct20354740566052
94004104047640
101131313032234
113a6872793630
1216330a541976
13828b41bc108
143ca82066670
151e6649e1609
hex1076782ec2a

1131313032234 has 144 divisors (see below), whose sum is σ = 3111978411360. Its totient is φ = 293716019520.

The previous prime is 1131313032203. The next prime is 1131313032257. The reversal of 1131313032234 is 4322303131311.

1131313032234 is a `hidden beast` number, since 1 + 1 + 3 + 131 + 303 + 223 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1131313032198 and 1131313032207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22668052 + ... + 22717904.

It is an arithmetic number, because the mean of its divisors is an integer number (21610961190).

Almost surely, 21131313032234 is an apocalyptic number.

1131313032234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131313032234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555989205680).

1131313032234 is an abundant number, since it is smaller than the sum of its proper divisors (1980665379126).

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

1131313032234 is a wasteful number, since it uses less digits than its factorization.

1131313032234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52225 (or 52215 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 1131313032234 its reverse (4322303131311), we get a palindrome (5453616163545).

The spelling of 1131313032234 in words is "one trillion, one hundred thirty-one billion, three hundred thirteen million, thirty-two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 441 462 539 693 882 1078 1386 1617 2339 3234 4678 4851 7017 9702 14034 16373 21051 25729 32746 42102 49119 49853 51458 77187 98238 99706 114611 147357 149559 154374 180103 229222 231561 294714 299118 343833 348971 360206 448677 463122 540309 548383 687666 697942 897354 1031499 1046913 1080618 1096766 1260721 1620927 1645149 2062998 2093826 2442797 2521442 3140739 3241854 3290298 3782163 3838681 4885594 4935447 6281478 7328391 7564326 7677362 9870894 11346489 11516043 14656782 21985173 22692978 23032086 26870767 34548129 43970346 53741534 69096258 80612301 116606167 161224602 233212334 241836903 349818501 483673806 699637002 816243169 1049455503 1282667837 1632486338 2098911006 2448729507 2565335674 3848003511 4897459014 5713702183 7346188521 7696007022 8978674859 11427404366 11544010533 14692377042 17141106549 17957349718 23088021066 26936024577 34282213098 51423319647 53872049154 62850724013 80808073731 102846639294 125701448026 161616147462 188552172039 377104344078 565656516117 1131313032234