Search a number
-
+
100303101210 = 235131931436651
BaseRepresentation
bin101110101101010000…
…1111101110100011010
3100120220021222110221110
41131122201331310122
53120410043214320
6114024551321150
710150414202334
oct1353241756432
9316807873843
10100303101210
11395a1538574
12175333801b6
1395c6554c80
144bd7400454
152920b5c5e0
hex175a87dd1a

100303101210 has 128 divisors (see below), whose sum is σ = 281692938240. Its totient is φ = 22635936000.

The previous prime is 100303101203. The next prime is 100303101233. The reversal of 100303101210 is 12101303001.

It is a super-2 number, since 2×1003031012102 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11385 + ... + 448035.

It is an arithmetic number, because the mean of its divisors is an integer number (2200726080).

Almost surely, 2100303101210 is an apocalyptic number.

100303101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100303101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140846469120).

100303101210 is an abundant number, since it is smaller than the sum of its proper divisors (181389837030).

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

100303101210 is a wasteful number, since it uses less digits than its factorization.

100303101210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436724.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 100303101210 its reverse (12101303001), we get a palindrome (112404404211).

The spelling of 100303101210 in words is "one hundred billion, three hundred three million, one hundred one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 31 38 39 57 62 65 78 93 95 114 130 155 186 190 195 247 285 310 390 403 465 494 570 589 741 806 930 1178 1209 1235 1482 1767 2015 2418 2470 2945 3534 3705 4030 5890 6045 7410 7657 8835 12090 15314 17670 22971 38285 45942 76570 114855 229710 436651 873302 1309953 2183255 2619906 4366510 5676463 6549765 8296369 11352926 13099530 13536181 16592738 17029389 24889107 27072362 28382315 34058778 40608543 41481845 49778214 56764630 67680905 81217086 82963690 85146945 107852797 124445535 135361810 170293890 175970353 203042715 215705594 248891070 257187439 323558391 351940706 406085430 514374878 527911059 539263985 647116782 771562317 879851765 1055822118 1078527970 1285937195 1543124634 1617791955 1759703530 2571874390 2639555295 3235583910 3343436707 3857811585 5279110590 6686873414 7715623170 10030310121 16717183535 20060620242 33434367070 50151550605 100303101210