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10055005340220 = 22325194336789977
BaseRepresentation
bin1001001001010001110100…
…0001011000001000111100
31022121020201121111001102100
42102110131001120020330
52304220122331341340
633215112232225100
72055310256125551
oct222243501301074
938536647431370
1010055005340220
113227338421285
121164888b3b190
1357c24bba6709
1426a944510a28
15126848e46830
hex9251d05823c

10055005340220 has 144 divisors (see below), whose sum is σ = 32179606935840. Its totient is φ = 2534344962048.

The previous prime is 10055005340209. The next prime is 10055005340279. The reversal of 10055005340220 is 2204350055001.

It is a happy number.

10055005340220 is a `hidden beast` number, since 1 + 0 + 0 + 550 + 0 + 53 + 40 + 2 + 20 = 666.

It is a super-3 number, since 3×100550053402203 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1914129 + ... + 4875848.

It is an arithmetic number, because the mean of its divisors is an integer number (223469492610).

Almost surely, 210055005340220 is an apocalyptic number.

10055005340220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10055005340220 is an abundant number, since it is smaller than the sum of its proper divisors (22124601595620).

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

10055005340220 is a wasteful number, since it uses less digits than its factorization.

10055005340220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6790444 (or 6790439 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 10055005340220 its reverse (2204350055001), we get a palindrome (12259355395221).

The spelling of 10055005340220 in words is "ten trillion, fifty-five billion, five million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 433 570 684 855 866 1140 1299 1710 1732 2165 2598 3420 3897 4330 5196 6495 7794 8227 8660 12990 15588 16454 19485 24681 25980 32908 38970 41135 49362 74043 77940 82270 98724 123405 148086 164540 246810 296172 370215 493620 740430 1480860 6789977 13579954 20369931 27159908 33949885 40739862 61109793 67899770 81479724 101849655 122219586 129009563 135799540 203699310 244439172 258019126 305548965 387028689 407398620 516038252 611097930 645047815 774057378 1161086067 1222195860 1290095630 1548114756 1935143445 2322172134 2580191260 2940060041 3870286890 4644344268 5805430335 5880120082 7740573780 8820180123 11610860670 11760240164 14700300205 17640360246 23221721340 26460540369 29400600410 35280720492 44100900615 52921080738 55861140779 58801200820 88201801230 105842161476 111722281558 132302701845 167583422337 176403602460 223444563116 264605403690 279305703895 335166844674 502750267011 529210807380 558611407790 670333689348 837917111685 1005500534022 1117222815580 1675834223370 2011001068044 2513751335055 3351668446740 5027502670110 10055005340220