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11312023034130 = 23571328114745901
BaseRepresentation
bin1010010010011100100100…
…0111010101100100010010
31111001102022100001010021220
42210213021013111210102
52440314010344043010
640020401024025510
72245160322206430
oct244471107254422
944042270033256
1011312023034130
11367144710a755
121328419762296
136409470c0930
142b170d3add50
151493b9638970
hexa49c91d5912

11312023034130 has 128 divisors (see below), whose sum is σ = 33532888951296. Its totient is φ = 2378218752000.

The previous prime is 11312023034119. The next prime is 11312023034141. The reversal of 11312023034130 is 3143032021311.

It is an interprime number because it is at equal distance from previous prime (11312023034119) and next prime (11312023034141).

It is a super-2 number, since 2×113120230341302 (a number of 27 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 11312023034130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6605821 + ... + 8140080.

It is an arithmetic number, because the mean of its divisors is an integer number (261975694932).

Almost surely, 211312023034130 is an apocalyptic number.

11312023034130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11312023034130 is an abundant number, since it is smaller than the sum of its proper divisors (22220865917166).

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

11312023034130 is a wasteful number, since it uses less digits than its factorization.

11312023034130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14746212.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11312023034130 its reverse (3143032021311), we get a palindrome (14455055055441).

The spelling of 11312023034130 in words is "eleven trillion, three hundred twelve billion, twenty-three million, thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 281 390 455 546 562 843 910 1365 1405 1686 1967 2730 2810 3653 3934 4215 5901 7306 8430 9835 10959 11802 18265 19670 21918 25571 29505 36530 51142 54795 59010 76713 109590 127855 153426 255710 383565 767130 14745901 29491802 44237703 73729505 88475406 103221307 147459010 191696713 206442614 221188515 309663921 383393426 442377030 516106535 575090139 619327842 958483565 1032213070 1150180278 1341876991 1548319605 1916967130 2683753982 2875450695 3096639210 4025630973 4143598181 5750901390 6709384955 8051261946 8287196362 12430794543 13418769910 20128154865 20717990905 24861589086 29005187267 40256309730 41435981810 53866776353 58010374534 62153972715 87015561801 107733552706 124307945430 145025936335 161600329059 174031123602 269333881765 290051872670 323200658118 377067434471 435077809005 538667763530 754134868942 808001645295 870155618010 1131202303413 1616003290590 1885337172355 2262404606826 3770674344710 5656011517065 11312023034130