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11303120213130 = 23529372831240769
BaseRepresentation
bin1010010001111011011001…
…1101110001010010001010
31111000120022212210221210210
42210132312131301102022
52440142242233310010
640012325353421550
72244423566401164
oct244366635612212
944016285727723
1011303120213130
113668698763549
12132675410a8b6
1363cb58807105
142b1106c53934
15149047c55b20
hexa47b677148a

11303120213130 has 128 divisors (see below), whose sum is σ = 28923242054400. Its totient is φ = 2821565988864.

The previous prime is 11303120213081. The next prime is 11303120213173. The reversal of 11303120213130 is 3131202130311.

It is a happy number.

11303120213130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11303120213097 and 11303120213106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8489386 + ... + 9730154.

It is an arithmetic number, because the mean of its divisors is an integer number (225962828550).

Almost surely, 211303120213130 is an apocalyptic number.

11303120213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11303120213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461621027200).

11303120213130 is an abundant number, since it is smaller than the sum of its proper divisors (17620121841270).

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

11303120213130 is a wasteful number, since it uses less digits than its factorization.

11303120213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241128.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11303120213130 its reverse (3131202130311), we get a palindrome (14434322343441).

The spelling of 11303120213130 in words is "eleven trillion, three hundred three billion, one hundred twenty million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 111 145 174 185 222 283 290 370 435 555 566 849 870 1073 1110 1415 1698 2146 2830 3219 4245 5365 6438 8207 8490 10471 10730 16095 16414 20942 24621 31413 32190 41035 49242 52355 62826 82070 104710 123105 157065 246210 303659 314130 607318 910977 1240769 1518295 1821954 2481538 3036590 3722307 4554885 6203845 7444614 9109770 12407690 18611535 35982301 37223070 45908453 71964602 91816906 107946903 137725359 179911505 215893806 229542265 275450718 351137627 359823010 459084530 539734515 688626795 702275254 1053412881 1079469030 1331345137 1377253590 1755688135 2106825762 2662690274 3511376270 3994035411 5267064405 6656725685 7988070822 10182991183 10534128810 12992092199 13313451370 19970177055 20365982366 25984184398 30548973549 38976276597 39940354110 50914955915 61097947098 64960460995 77952553194 101829911830 129920921990 152744867745 194881382985 305489735490 376770673771 389762765970 753541347542 1130312021313 1883853368855 2260624042626 3767706737710 5651560106565 11303120213130