Search a number
-
+
100203103300300 = 2252711131001030003
BaseRepresentation
bin10110110010001001011010…
…011000001010101011001100
3111010210022201120000012111021
4112302021122120022223030
5101113211423421102200
6553040400431203524
730051302211541060
oct2662113230125314
9433708646005437
10100203103300300
1129a22996583870
12b2a40486765a4
1343bb15c377390
141aa5bdb109aa0
15b8b7a53e041a
hex5b225a60aacc

100203103300300 has 144 divisors (see below), whose sum is σ = 291948398606592. Its totient is φ = 28829664057600.

The previous prime is 100203103300283. The next prime is 100203103300327. The reversal of 100203103300300 is 3003301302001.

It is a super-2 number, since 2×1002031033003002 (a number of 29 digits) contains 22 as substring.

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, 500414902 + ... + 500615101.

It is an arithmetic number, because the mean of its divisors is an integer number (2027419434768).

Almost surely, 2100203103300300 is an apocalyptic number.

100203103300300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100203103300300 is an abundant number, since it is smaller than the sum of its proper divisors (191745295306292).

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

100203103300300 is a wasteful number, since it uses less digits than its factorization.

100203103300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001030048 (or 1001030041 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 100203103300300 its reverse (3003301302001), we get a palindrome (103206404602301).

The spelling of 100203103300300 in words is "one hundred trillion, two hundred three billion, one hundred three million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 25 26 28 35 44 50 52 55 65 70 77 91 100 110 130 140 143 154 175 182 220 260 275 286 308 325 350 364 385 455 550 572 650 700 715 770 910 1001 1100 1300 1430 1540 1820 1925 2002 2275 2860 3575 3850 4004 4550 5005 7150 7700 9100 10010 14300 20020 25025 50050 100100 1001030003 2002060006 4004120012 5005150015 7007210021 10010300030 11011330033 13013390039 14014420042 20020600060 22022660066 25025750075 26026780078 28028840084 35036050105 44045320132 50051500150 52053560156 55056650165 65066950195 70072100210 77079310231 91093730273 100103000300 110113300330 130133900390 140144200420 143147290429 154158620462 175180250525 182187460546 220226600660 260267800780 275283250825 286294580858 308317240924 325334750975 350360501050 364374921092 385396551155 455468651365 550566501650 572589161716 650669501950 700721002100 715736452145 770793102310 910937302730 1002031033003 1101133003300 1301339003900 1431472904290 1541586204620 1821874605460 1926982755775 2004062066006 2277343256825 2862945808580 3578682260725 3853965511550 4008124132012 4554686513650 5010155165015 7157364521450 7707931023100 9109373027300 10020310330030 14314729042900 20040620660060 25050775825075 50101551650150 100203103300300