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10301132302000 = 245319871931091
BaseRepresentation
bin1001010111100110101101…
…0101001110011010110000
31100110210000121210011220121
42111321223111032122300
52322233204332131000
633524135211220024
72112142442566651
oct225715325163260
940423017704817
1010301132302000
11331175a6a85a1
1211a4518447614
135995147377c7
142788127bb528
1512ce51c18b1a
hex95e6b54e6b0

10301132302000 has 160 divisors (see below), whose sum is σ = 26222943052800. Its totient is φ = 3903013728000.

The previous prime is 10301132301991. The next prime is 10301132302037. The reversal of 10301132302000 is 20323110301.

It is a super-2 number, since 2×103011323020002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331306455 + ... + 331337545.

It is an arithmetic number, because the mean of its divisors is an integer number (163893394080).

Almost surely, 210301132302000 is an apocalyptic number.

10301132302000 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 10301132302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13111471526400).

10301132302000 is an abundant number, since it is smaller than the sum of its proper divisors (15921810750800).

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

10301132302000 is a wasteful number, since it uses less digits than its factorization.

10301132302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39852 (or 39836 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10301132302000 its reverse (20323110301), we get a palindrome (10321455412301).

The spelling of 10301132302000 in words is "ten trillion, three hundred one billion, one hundred thirty-two million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 8719 9500 17438 19000 31091 34876 38000 43595 62182 69752 87190 124364 139504 155455 165661 174380 217975 248728 310910 331322 348760 435950 497456 590729 621820 662644 697520 777275 828305 871900 1089875 1181458 1243640 1325288 1554550 1656610 1743800 2179750 2362916 2487280 2650576 2953645 3109100 3313220 3487600 3886375 4141525 4359500 4725832 5907290 6218200 6626440 7772750 8283050 8719000 9451664 11814580 12436400 13252880 14768225 15545500 16566100 17438000 20707625 23629160 29536450 31091000 33132200 41415250 47258320 59072900 62182000 66264400 73841125 82830500 118145800 147682250 165661000 236291600 271082429 295364500 331322000 542164858 590729000 1084329716 1181458000 1355412145 2168659432 2710824290 4337318864 5150566151 5421648580 6777060725 10301132302 10843297160 13554121450 20602264604 21686594320 25752830755 27108242900 33885303625 41204529208 51505661510 54216485800 67770607250 82409058416 103011323020 108432971600 128764153775 135541214500 206022646040 257528307550 271082429000 412045292080 515056615100 542164858000 643820768875 1030113230200 1287641537750 2060226460400 2575283075500 5150566151000 10301132302000