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10030041300 = 22352592392371
BaseRepresentation
bin10010101011101011…
…00100100011010100
3221220000021220001010
421111311210203110
5131020142310200
64335134332220
7503360641626
oct112565444324
927800256033
1010030041300
114287773534
121b3b05a070
13c3aca81a6
146b2142c16
153da844150
hex255d648d4

10030041300 has 144 divisors (see below), whose sum is σ = 29648102400. Its totient is φ = 2617238400.

The previous prime is 10030041299. The next prime is 10030041311. The reversal of 10030041300 is 314003001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4229115 + ... + 4231485.

It is an arithmetic number, because the mean of its divisors is an integer number (205889600).

Almost surely, 210030041300 is an apocalyptic number.

10030041300 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 10030041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14824051200).

10030041300 is an abundant number, since it is smaller than the sum of its proper divisors (19618061100).

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

10030041300 is a wasteful number, since it uses less digits than its factorization.

10030041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10030041300 its reverse (314003001), we get a palindrome (10344044301).

The spelling of 10030041300 in words is "ten billion, thirty million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 239 295 300 354 478 590 708 717 885 956 1180 1195 1434 1475 1770 2371 2390 2868 2950 3540 3585 4425 4742 4780 5900 5975 7113 7170 8850 9484 11855 11950 14101 14226 14340 17700 17925 23710 23900 28202 28452 35565 35850 42303 47420 56404 59275 70505 71130 71700 84606 118550 139889 141010 142260 169212 177825 211515 237100 279778 282020 352525 355650 419667 423030 559556 566669 699445 705050 711300 839334 846060 1057575 1133338 1398890 1410100 1678668 1700007 2098335 2115150 2266676 2797780 2833345 3400014 3497225 4196670 4230300 5666690 6800028 6994450 8393340 8500035 10491675 11333380 13988900 14166725 17000070 20983350 28333450 33433471 34000140 41966700 42500175 56666900 66866942 85000350 100300413 133733884 167167355 170000700 200600826 334334710 401201652 501502065 668669420 835836775 1003004130 1671673550 2006008260 2507510325 3343347100 5015020650 10030041300