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11000001100212 = 2233753531351663
BaseRepresentation
bin1010000000010010001100…
…1010000111100110110100
31102221120220222201120112000
42200010203022013212310
52420211000240201322
635221155235055300
72213503165425045
oct240044312074664
942846828646460
1011000001100212
11356108a940583
121297a5a141530
1361a3ac71aa77
142a058d7808cc
151412068253ac
hexa01232879b4

11000001100212 has 48 divisors (see below), whose sum is σ = 28518920935680. Its totient is φ = 3666615660864.

The previous prime is 11000001100189. The next prime is 11000001100237. The reversal of 11000001100212 is 21200110000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000001100194 and 11000001100203.

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 15 ways as a sum of consecutive naturals, for example, 7462293 + ... + 8813955.

It is an arithmetic number, because the mean of its divisors is an integer number (594144186160).

Almost surely, 211000001100212 is an apocalyptic number.

11000001100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000001100212 is an abundant number, since it is smaller than the sum of its proper divisors (17518919835468).

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

11000001100212 is a wasteful number, since it uses less digits than its factorization.

11000001100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427029 (or 1427021 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000001100212 its reverse (21200110000011), we get a palindrome (32200111100223).

The spelling of 11000001100212 in words is "eleven trillion, one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 75353 150706 226059 301412 452118 678177 904236 1351663 1356354 2034531 2703326 2712708 4054989 4069062 5406652 8109978 8138124 12164967 16219956 24329934 36494901 48659868 72989802 145979604 101851862039 203703724078 305555586117 407407448156 611111172234 916666758351 1222222344468 1833333516702 2750000275053 3666667033404 5500000550106 11000001100212