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10010301300 = 2233526160779
BaseRepresentation
bin10010101001010100…
…10001001101110100
3221211122010222212000
421110222101031310
5131000114120200
64333151255300
7503031104616
oct112452211564
927748128760
1010010301300
11427761058a
121b3451a530
13c36b8620c
146ad684db6
153d8c45300
hex254a91374

10010301300 has 144 divisors (see below), whose sum is σ = 32709364800. Its totient is φ = 2625609600.

The previous prime is 10010301299. The next prime is 10010301307. The reversal of 10010301300 is 310301001.

It is a super-2 number, since 2×100103013002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010301307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134311 + ... + 195089.

Almost surely, 210010301300 is an apocalyptic number.

10010301300 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 10010301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354682400).

10010301300 is an abundant number, since it is smaller than the sum of its proper divisors (22699063500).

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

10010301300 is a wasteful number, since it uses less digits than its factorization.

10010301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60863 (or 60850 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10010301300 its reverse (310301001), we get a palindrome (10320602301).

The spelling of 10010301300 in words is "ten billion, ten million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 61 75 90 100 108 122 135 150 180 183 225 244 270 300 305 366 450 540 549 610 675 732 900 915 1098 1220 1350 1525 1647 1830 2196 2700 2745 3050 3294 3660 4575 5490 6100 6588 8235 9150 10980 13725 16470 18300 27450 32940 41175 54900 60779 82350 121558 164700 182337 243116 303895 364674 547011 607790 729348 911685 1094022 1215580 1519475 1641033 1823370 2188044 2735055 3038950 3282066 3646740 3707519 4558425 5470110 6077900 6564132 7415038 8205165 9116850 10940220 11122557 13675275 14830076 16410330 18233700 18537595 22245114 27350550 32820660 33367671 37075190 41025825 44490228 54701100 55612785 66735342 74150380 82051650 92687975 100103013 111225570 133470684 164103300 166838355 185375950 200206026 222451140 278063925 333676710 370751900 400412052 500515065 556127850 667353420 834191775 1001030130 1112255700 1668383550 2002060260 2502575325 3336767100 5005150650 10010301300