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11244123131430 = 2357523486121061
BaseRepresentation
bin1010001110011111100111…
…1101110000111000100110
31110210221001021101200022210
42203213321331300320212
52433210431010201210
635525251233304250
72240234565440430
oct243477175607046
943727037350283
1011244123131430
113645673412892
12131722a105086
13637415a99507
142ac30b66b650
151477435ade20
hexa39f9f70e26

11244123131430 has 128 divisors (see below), whose sum is σ = 30907817081856. Its totient is φ = 2564521689600.

The previous prime is 11244123131419. The next prime is 11244123131471. The reversal of 11244123131430 is 3413132144211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 533873100 + ... + 533894160.

It is an arithmetic number, because the mean of its divisors is an integer number (241467320952).

Almost surely, 211244123131430 is an apocalyptic number.

11244123131430 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 11244123131430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15453908540928).

11244123131430 is an abundant number, since it is smaller than the sum of its proper divisors (19663693950426).

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

11244123131430 is a wasteful number, since it uses less digits than its factorization.

11244123131430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26462.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 11244123131430 its reverse (3413132144211), we get a palindrome (14657255275641).

The spelling of 11244123131430 in words is "eleven trillion, two hundred forty-four billion, one hundred twenty-three million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 523 1046 1569 2615 3138 3661 4861 5230 7322 7845 9722 10983 14583 15690 18305 21061 21966 24305 29166 34027 36610 42122 48610 54915 63183 68054 72915 102081 105305 109830 126366 145830 147427 170135 204162 210610 294854 315915 340270 442281 510405 631830 737135 884562 1020810 1474270 2211405 2542303 4422810 5084606 7626909 11014903 12711515 15253818 17796121 22029806 25423030 33044709 35592242 38134545 53388363 55074515 66089418 76269090 77104321 88980605 102377521 106776726 110149030 154208642 165223545 177961210 204755042 231312963 266941815 307132563 330447090 385521605 462625926 511887605 533883630 614265126 716642647 771043210 1023775210 1156564815 1433285294 1535662815 2149927941 2313129630 3071325630 3583213235 4299855882 7166426470 10749639705 21499279410 53543443483 107086886966 160630330449 267717217415 321260660898 374804104381 535434434830 749608208762 803151652245 1124412313143 1606303304490 1874020521905 2248824626286 3748041043810 5622061565715 11244123131430