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1010211002200 = 2352172111715647
BaseRepresentation
bin11101011001101010100…
…01001001011101011000
310120120112100020002012201
432230311101021131120
5113022403004032300
62052030131415544
7132661653560521
oct16546521113530
93516470202181
101010211002200
1135a478857a94
121439517545b4
13743548c308a
1436c74613848
151b427e0366a
hexeb35449758

1010211002200 has 144 divisors (see below), whose sum is σ = 2497422208320. Its totient is φ = 379949967360.

The previous prime is 1010211002189. The next prime is 1010211002237. The reversal of 1010211002200 is 22001120101.

1010211002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64554777 + ... + 64570423.

It is an arithmetic number, because the mean of its divisors is an integer number (17343209780).

Almost surely, 21010211002200 is an apocalyptic number.

1010211002200 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 1010211002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248711104160).

1010211002200 is an abundant number, since it is smaller than the sum of its proper divisors (1487211206120).

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

1010211002200 is a wasteful number, since it uses less digits than its factorization.

1010211002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16814 (or 16788 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1010211002200 its reverse (22001120101), we get a palindrome (1032212122301).

The spelling of 1010211002200 in words is "one trillion, ten billion, two hundred eleven million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 289 340 425 578 680 850 1117 1156 1445 1700 2234 2312 2890 3400 4468 5585 5780 7225 8936 11170 11560 14450 15647 18989 22340 27925 28900 31294 37978 44680 55850 57800 62588 75956 78235 94945 111700 125176 151912 156470 189890 223400 265999 312940 322813 379780 391175 474725 531998 625880 645626 759560 782350 949450 1063996 1291252 1329995 1564700 1614065 1898900 2127992 2582504 2659990 3129400 3228130 3797800 4521983 5319980 6456260 6649975 8070325 9043966 10639960 12912520 13299950 16140650 17477699 18087932 22609915 26599900 32281300 34955398 36175864 45219830 53199800 64562600 69910796 87388495 90439660 113049575 139821592 174776990 180879320 226099150 297120883 349553980 436942475 452198300 594241766 699107960 873884950 904396600 1188483532 1485604415 1747769900 2376967064 2971208830 3495539800 5051055011 5942417660 7428022075 10102110022 11884835320 14856044150 20204220044 25255275055 29712088300 40408440088 50510550110 59424176600 101021100220 126276375275 202042200440 252552750550 505105501100 1010211002200