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1130002114320 = 24335659793853
BaseRepresentation
bin10000011100011001010…
…111111110011100010000
311000000201210100002102000
4100130121113332130100
5122003221020124240
62223041002554000
7144432335330412
oct20343127763420
94000653302360
101130002114320
113a625a8095a2
12163003508900
1382735730841
143c999d029b2
151e5d9896430
hex107195fe710

1130002114320 has 160 divisors (see below), whose sum is σ = 3898140681600. Its totient is φ = 300876258816.

The previous prime is 1130002114309. The next prime is 1130002114349. The reversal of 1130002114320 is 234112000311.

1130002114320 is a `hidden beast` number, since 1 + 130 + 0 + 0 + 211 + 4 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1130002114293 and 1130002114302.

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, 1026514 + ... + 1820366.

It is an arithmetic number, because the mean of its divisors is an integer number (24363379260).

Almost surely, 21130002114320 is an apocalyptic number.

1130002114320 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 1130002114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949070340800).

1130002114320 is an abundant number, since it is smaller than the sum of its proper divisors (2768138567280).

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

1130002114320 is a wasteful number, since it uses less digits than its factorization.

1130002114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794534 (or 794522 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1130002114320 its reverse (234112000311), we get a palindrome (1364114114631).

The spelling of 1130002114320 in words is "one trillion, one hundred thirty billion, two million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 659 720 1080 1318 1977 2160 2636 3295 3954 5272 5931 6590 7908 9885 10544 11862 13180 15816 17793 19770 23724 26360 29655 31632 35586 39540 47448 52720 59310 71172 79080 88965 94896 118620 142344 158160 177930 237240 284688 355860 474480 711720 793853 1423440 1587706 2381559 3175412 3969265 4763118 6350824 7144677 7938530 9526236 11907795 12701648 14289354 15877060 19052472 21434031 23815590 28578708 31754120 35723385 38104944 42868062 47631180 57157416 63508240 71446770 85736124 95262360 107170155 114314832 142893540 171472248 190524720 214340310 285787080 342944496 428680620 523149127 571574160 857361240 1046298254 1569447381 1714722480 2092596508 2615745635 3138894762 4185193016 4708342143 5231491270 6277789524 7847236905 8370386032 9416684286 10462982540 12555579048 14125026429 15694473810 18833368572 20925965080 23541710715 25111158096 28250052858 31388947620 37666737144 41851930160 47083421430 56500105716 62777895240 70625132145 75333474288 94166842860 113000211432 125555790480 141250264290 188333685720 226000422864 282500528580 376667371440 565001057160 1130002114320