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11211021020112 = 2432934492335139
BaseRepresentation
bin1010001100100100010011…
…1011001110101111010000
31110200202121022221012012220
42203021010323032233100
52432140132340120422
635502134424221040
72234653360231314
oct243110473165720
943622538835186
1011211021020112
1136326271056a1
12131093030a780
1363426bb1a3b4
142aa88b239b44
15146957470e5c
hexa3244ecebd0

11211021020112 has 80 divisors (see below), whose sum is σ = 29969186760000. Its totient is φ = 3607097009152.

The previous prime is 11211021020071. The next prime is 11211021020117. The reversal of 11211021020112 is 21102012011211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11211021020091 and 11211021020100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211021020117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3633439 + ... + 5968577.

It is an arithmetic number, because the mean of its divisors is an integer number (374614834500).

Almost surely, 211211021020112 is an apocalyptic number.

11211021020112 is a gapful number since it is divisible by the number (12) 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 11211021020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984593380000).

11211021020112 is an abundant number, since it is smaller than the sum of its proper divisors (18758165739888).

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

11211021020112 is a wasteful number, since it uses less digits than its factorization.

11211021020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338628 (or 2338622 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11211021020112 its reverse (21102012011211), we get a palindrome (32313033031323).

The spelling of 11211021020112 in words is "eleven trillion, two hundred eleven billion, twenty-one million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 3449 6898 10347 13796 20694 27592 41388 55184 82776 100021 165552 200042 300063 400084 600126 800168 1200252 1600336 2335139 2400504 4670278 4801008 7005417 9340556 14010834 18681112 28021668 37362224 56043336 67719031 112086672 135438062 203157093 270876124 406314186 541752248 812628372 1083504496 1625256744 3250513488 8053894411 16107788822 24161683233 32215577644 48323366466 64431155288 96646732932 128862310576 193293465864 233562937919 386586931728 467125875838 700688813757 934251751676 1401377627514 1868503503352 2802755255028 3737007006704 5605510510056 11211021020112