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10130243100 = 22352411316287
BaseRepresentation
bin10010110111100111…
…10011111000011100
3222010222211200001220
421123303303320130
5131221320234400
64353114133340
7506015434305
oct113363637034
928128750056
1010130243100
11432929263a
121b68721250
13c5598c7b3
146c15877ac
153e45387a0
hex25bcf3e1c

10130243100 has 144 divisors (see below), whose sum is σ = 30259063296. Its totient is φ = 2614976000.

The previous prime is 10130243051. The next prime is 10130243111. The reversal of 10130243100 is 134203101.

It is a super-2 number, since 2×101302431002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10130243100.

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, 1608157 + ... + 1614443.

It is an arithmetic number, because the mean of its divisors is an integer number (210132384).

Almost surely, 210130243100 is an apocalyptic number.

10130243100 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 10130243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15129531648).

10130243100 is an abundant number, since it is smaller than the sum of its proper divisors (20128820196).

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

10130243100 is a wasteful number, since it uses less digits than its factorization.

10130243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6476 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10130243100 its reverse (134203101), we get a palindrome (10264446201).

The spelling of 10130243100 in words is "ten billion, one hundred thirty million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 131 150 164 205 246 262 300 393 410 492 524 615 655 786 820 1025 1230 1310 1572 1965 2050 2460 2620 3075 3275 3930 4100 5371 6150 6287 6550 7860 9825 10742 12300 12574 13100 16113 18861 19650 21484 25148 26855 31435 32226 37722 39300 53710 62870 64452 75444 80565 94305 107420 125740 134275 157175 161130 188610 257767 268550 314350 322260 377220 402825 471525 515534 537100 628700 773301 805650 823597 943050 1031068 1288835 1546602 1611300 1647194 1886100 2470791 2577670 3093204 3294388 3866505 4117985 4941582 5155340 6444175 7733010 8235970 9883164 12353955 12888350 15466020 16471940 19332525 20589925 24707910 25776700 33767477 38665050 41179850 49415820 61769775 67534954 77330100 82359700 101302431 123539550 135069908 168837385 202604862 247079100 337674770 405209724 506512155 675349540 844186925 1013024310 1688373850 2026048620 2532560775 3376747700 5065121550 10130243100