Search a number
-
+
10212220011000 = 233537486296191
BaseRepresentation
bin1001010010011011011110…
…1111110000000111111000
31100011021112011121211000210
42110212313233300013320
52314304111310323000
633415232404231120
72102544221565450
oct224466757600770
940137464554023
1010212220011000
113287a83a67367
12118b24399b4a0
13591015081927
142743ba13cd60
1512a99b0e6350
hex949b7bf01f8

10212220011000 has 128 divisors (see below), whose sum is σ = 36413858856960. Its totient is φ = 2334221712000.

The previous prime is 10212220010981. The next prime is 10212220011053. The reversal of 10212220011000 is 11002221201.

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 31 ways as a sum of consecutive naturals, for example, 243127096 + ... + 243169095.

It is an arithmetic number, because the mean of its divisors is an integer number (284483272320).

Almost surely, 210212220011000 is an apocalyptic number.

10212220011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212220011000 is an abundant number, since it is smaller than the sum of its proper divisors (26201638845960).

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

10212220011000 is a wasteful number, since it uses less digits than its factorization.

10212220011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486296222 (or 486296208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212220011000 its reverse (11002221201), we get a palindrome (10223222232201).

The spelling of 10212220011000 in words is "ten trillion, two hundred twelve billion, two hundred twenty million, eleven thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 486296191 972592382 1458888573 1945184764 2431480955 2917777146 3404073337 3890369528 4862961910 5835554292 6808146674 7294442865 9725923820 10212220011 11671108584 12157404775 13616293348 14588885730 17020366685 19451847640 20424440022 24314809550 27232586696 29177771460 34040733370 36472214325 40848880044 48629619100 51061100055 58355542920 60787023875 68081466740 72944428650 81697760088 85101833425 97259238200 102122200110 121574047750 136162933480 145888857300 170203666850 182361071625 204244400220 243148095500 255305500275 291777714600 340407333700 364722143250 408488800440 425509167125 486296191000 510611000550 680814667400 729444286500 851018334250 1021222001100 1276527501375 1458888573000 1702036668500 2042444002200 2553055002750 3404073337000 5106110005500 10212220011000