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1131105423320 = 235317330194139
BaseRepresentation
bin10000011101011011001…
…000110000111111011000
311000010120200101222211022
4100131123020300333120
5122013000442021240
62223342254422012
7144501563314625
oct20353310607730
94003520358738
101131105423320
113a6776583a14
12163270b01908
138288019c6c2
143ca6266334c
151e6516829b5
hex1075b230fd8

1131105423320 has 128 divisors (see below), whose sum is σ = 2664596736000. Its totient is φ = 431602007040.

The previous prime is 1131105423311. The next prime is 1131105423401. The reversal of 1131105423320 is 233245011311.

It is a self number, because there is not a number n which added to its sum of digits gives 1131105423320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273277811 + ... + 273281949.

It is an arithmetic number, because the mean of its divisors is an integer number (20817162000).

Almost surely, 21131105423320 is an apocalyptic number.

1131105423320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131105423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332298368000).

1131105423320 is an abundant number, since it is smaller than the sum of its proper divisors (1533491312680).

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

1131105423320 is a wasteful number, since it uses less digits than its factorization.

1131105423320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7273 (or 7269 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 1131105423320 in words is "one trillion, one hundred thirty-one billion, one hundred five million, four hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 73 124 146 155 248 292 310 365 584 620 730 1240 1460 2263 2920 3019 4139 4526 6038 8278 9052 11315 12076 15095 16556 18104 20695 22630 24152 30190 33112 41390 45260 60380 82780 90520 93589 120760 128309 165560 187178 220387 256618 302147 374356 440774 467945 513236 604294 641545 748712 881548 935890 1026472 1101935 1208588 1283090 1510735 1763096 1871780 2203870 2417176 2566180 3021470 3743560 4407740 5132360 6042940 6831997 8815480 9366557 12085880 12495641 13663994 18733114 24991282 27327988 34159985 37466228 46832785 49982564 54655976 62478205 68319970 74932456 93665570 99965128 124956410 136639940 187331140 249912820 273279880 374662280 387364871 499825640 774729742 912181793 1549459484 1824363586 1936824355 3098918968 3648727172 3873648710 4560908965 7297454344 7747297420 9121817930 15494594840 18243635860 28277635583 36487271720 56555271166 113110542332 141388177915 226221084664 282776355830 565552711660 1131105423320