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1131312320320 = 26571338850011
BaseRepresentation
bin10000011101100111011…
…110000000111101000000
311000011010002201110011011
4100131213132000331000
5122013411423222240
62223415005130304
7144506655026110
oct20354736007500
94004102643134
101131312320320
113a6872347776
1216330a259994
13828b4000070
143ca81d1d040
151e6649006ea
hex10767780f40

1131312320320 has 112 divisors (see below), whose sum is σ = 3315615424128. Its totient is φ = 358041692160.

The previous prime is 1131312320293. The next prime is 1131312320321. The reversal of 1131312320320 is 230232131311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×11313123203202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131312320291 and 1131312320300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131312320321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19395886 + ... + 19454125.

It is an arithmetic number, because the mean of its divisors is an integer number (29603709144).

Almost surely, 21131312320320 is an apocalyptic number.

1131312320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131312320320 is an abundant number, since it is smaller than the sum of its proper divisors (2184303103808).

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

1131312320320 is a wasteful number, since it uses less digits than its factorization.

1131312320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38850048 (or 38850038 counting only the distinct ones).

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

Adding to 1131312320320 its reverse (230232131311), we get a palindrome (1361544451631).

The spelling of 1131312320320 in words is "one trillion, one hundred thirty-one billion, three hundred twelve million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 728 832 910 1040 1120 1456 1820 2080 2240 2912 3640 4160 5824 7280 14560 29120 38850011 77700022 155400044 194250055 271950077 310800088 388500110 505050143 543900154 621600176 777000220 1010100286 1087800308 1243200352 1359750385 1554000440 2020200572 2175600616 2486400704 2525250715 2719500770 3108000880 3535351001 4040401144 4351201232 5050501430 5439001540 6216001760 7070702002 8080802288 8702402464 10101002860 10878003080 12432003520 14141404004 16161604576 17404804928 17676755005 20202005720 21756006160 28282808008 32323209152 35353510010 40404011440 43512012320 56565616016 70707020020 80808022880 87024024640 113131232032 141414040040 161616045760 226262464064 282828080080 565656160160 1131312320320