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1011113000320 = 2754759569731
BaseRepresentation
bin11101011011010110000…
…01111111110110000000
310120122212012111100000111
432231223001333312000
5113031224412002240
62052255432401104
7133023215460613
oct16555301776600
93518765440014
101011113000320
1135a8a0a24585
12143b63846194
1374469739087
1436d1c33017a
151b47c1c71ea
hexeb6b07fd80

1011113000320 has 128 divisors (see below), whose sum is σ = 2510467084800. Its totient is φ = 389130147840.

The previous prime is 1011113000309. The next prime is 1011113000353. The reversal of 1011113000320 is 230003111101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10111130003202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1011113000320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1489855 + ... + 2059585.

It is an arithmetic number, because the mean of its divisors is an integer number (19613024100).

Almost surely, 21011113000320 is an apocalyptic number.

1011113000320 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 1011113000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255233542400).

1011113000320 is an abundant number, since it is smaller than the sum of its proper divisors (1499354084480).

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

1011113000320 is an equidigital number, since it uses as much as digits as its factorization.

1011113000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569856 (or 569844 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1011113000320 its reverse (230003111101), we get a palindrome (1241116111421).

The spelling of 1011113000320 in words is "one trillion, eleven billion, one hundred thirteen million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 47 59 64 80 94 118 128 160 188 235 236 295 320 376 470 472 590 640 752 940 944 1180 1504 1880 1888 2360 2773 3008 3760 3776 4720 5546 6016 7520 7552 9440 11092 13865 15040 18880 22184 27730 30080 37760 44368 55460 88736 110920 177472 221840 354944 443680 569731 887360 1139462 1774720 2278924 2848655 4557848 5697310 9115696 11394620 18231392 22789240 26777357 33614129 36462784 45578480 53554714 67228258 72925568 91156960 107109428 133886785 134456516 168070645 182313920 214218856 267773570 268913032 336141290 364627840 428437712 535547140 537826064 672282580 856875424 1071094280 1075652128 1344565160 1579864063 1713750848 2142188560 2151304256 2689130320 3159728126 3427501696 4284377120 4302608512 5378260640 6319456252 7899320315 8568754240 10756521280 12638912504 15798640630 17137508480 21513042560 25277825008 31597281260 50555650016 63194562520 101111300032 126389125040 202222600064 252778250080 505556500160 1011113000320