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1130312054940 = 223573641402593
BaseRepresentation
bin10000011100101011110…
…110010011100010011100
311000001112101112201000020
4100130223312103202130
5122004334341224230
62223131434032140
7144443120641365
oct20345366234234
94001471481006
101130312054940
113a63a9762572
1216308b278650
13827849cc163
143c9c9142b6c
151e606bba810
hex1072bd9389c

1130312054940 has 96 divisors (see below), whose sum is σ = 3213241206336. Its totient is φ = 296823029760.

The previous prime is 1130312054929. The next prime is 1130312054941. The reversal of 1130312054940 is 494502130311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130312054941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2606284 + ... + 3008876.

It is an arithmetic number, because the mean of its divisors is an integer number (33471262566).

Almost surely, 21130312054940 is an apocalyptic number.

1130312054940 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 1130312054940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606620603168).

1130312054940 is an abundant number, since it is smaller than the sum of its proper divisors (2082929151396).

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

1130312054940 is a wasteful number, since it uses less digits than its factorization.

1130312054940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403319 (or 403317 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 1130312054940 in words is "one trillion, one hundred thirty billion, three hundred twelve million, fifty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 641 730 876 1095 1282 1460 1923 2190 2564 3205 3846 4380 6410 7692 9615 12820 19230 38460 46793 93586 140379 187172 233965 280758 402593 467930 561516 701895 805186 935860 1207779 1403790 1610372 2012965 2415558 2807580 4025930 4831116 6038895 8051860 12077790 24155580 29389289 58778578 88167867 117557156 146946445 176335734 258062113 293892890 352671468 440839335 516124226 587785780 774186339 881678670 1032248452 1290310565 1548372678 1763357340 2580621130 3096745356 3870931695 5161242260 7741863390 15483726780 18838534249 37677068498 56515602747 75354136996 94192671245 113031205494 188385342490 226062410988 282578013735 376770684980 565156027470 1130312054940