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11212101012 = 22372173311003
BaseRepresentation
bin10100111000100101…
…10001010110010100
31001221101112202010110
422130102301112110
5140430244213022
65052322123020
7544563200100
oct123422612624
931841482113
1011212101012
114833a36492
12220aab0470
131098b5a8c8
14785122900
154594d900c
hex29c4b1594

11212101012 has 72 divisors (see below), whose sum is σ = 30453173856. Its totient is φ = 3201317952.

The previous prime is 11212100993. The next prime is 11212101013. The reversal of 11212101012 is 21010121211.

It is a super-2 number, since 2×112121010122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212101013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013503 + ... + 1024505.

It is an arithmetic number, because the mean of its divisors is an integer number (422960748).

Almost surely, 211212101012 is an apocalyptic number.

11212101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11212101012 is an abundant number, since it is smaller than the sum of its proper divisors (19241072844).

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

11212101012 is a wasteful number, since it uses less digits than its factorization.

11212101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12757 (or 12748 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11212101012 its reverse (21010121211), we get a palindrome (32222222223).

The spelling of 11212101012 in words is "eleven billion, two hundred twelve million, one hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1733 3466 5199 6932 10398 11003 12131 20796 22006 24262 33009 36393 44012 48524 66018 72786 77021 84917 132036 145572 154042 169834 231063 254751 308084 339668 462126 509502 539147 924252 1019004 1078294 1617441 2156588 3234882 6469764 19068199 38136398 57204597 76272796 114409194 133477393 228818388 266954786 400432179 533909572 800864358 934341751 1601728716 1868683502 2803025253 3737367004 5606050506 11212101012