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11013331212 = 2234134755633
BaseRepresentation
bin10100100000111001…
…00001100100001100
31001102112112012020000
422100130201210030
5140023403044322
65020501524300
7536630525232
oct122034414414
931375465200
1011013331212
114741813824
122174413690
131066914540
14766980952
15446d243ac
hex29072190c

11013331212 has 120 divisors (see below), whose sum is σ = 31665982656. Its totient is φ = 3316557312.

The previous prime is 11013331207. The next prime is 11013331213. The reversal of 11013331212 is 21213331011.

11013331212 is a `hidden beast` number, since 110 + 13 + 331 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11013331213) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170148 + ... + 225780.

Almost surely, 211013331212 is an apocalyptic number.

11013331212 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 11013331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832991328).

11013331212 is an abundant number, since it is smaller than the sum of its proper divisors (20652651444).

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

11013331212 is a wasteful number, since it uses less digits than its factorization.

11013331212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55709 (or 55698 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11013331212 its reverse (21213331011), we get a palindrome (32226662223).

It can be divided in two parts, 11013 and 331212, that added together give a square (342225 = 5852).

The spelling of 11013331212 in words is "eleven billion, thirteen million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 47 52 54 78 81 94 108 117 141 156 162 188 234 282 324 351 423 468 564 611 702 846 1053 1222 1269 1404 1692 1833 2106 2444 2538 3666 3807 4212 5076 5499 7332 7614 10998 15228 16497 21996 32994 49491 55633 65988 98982 111266 166899 197964 222532 333798 500697 667596 723229 1001394 1446458 1502091 2002788 2169687 2614751 2892916 3004182 4339374 4506273 5229502 6008364 6509061 7844253 8678748 9012546 10459004 13018122 15688506 18025092 19527183 23532759 26036244 31377012 33991763 39054366 47065518 58581549 67983526 70598277 78108732 94131036 101975289 117163098 135967052 141196554 203950578 211794831 234326196 282393108 305925867 407901156 423589662 611851734 847179324 917777601 1223703468 1835555202 2753332803 3671110404 5506665606 11013331212