Search a number
-
+
11001002012 = 227112131012473
BaseRepresentation
bin10100011111011010…
…11111100000011100
31001101200022210201222
422033231133200130
5140012224031022
65015341352512
7536420655110
oct121755374034
931350283658
1011001002012
114735862700
122170268738
1310641b8760
14765091740
15445bdb242
hex28fb5f81c

11001002012 has 144 divisors (see below), whose sum is σ = 26312830656. Its totient is φ = 3915648000.

The previous prime is 11001002003. The next prime is 11001002017. The reversal of 11001002012 is 21020010011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001002017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4447208 + ... + 4449680.

Almost surely, 211001002012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13156415328).

11001002012 is an abundant number, since it is smaller than the sum of its proper divisors (15311828644).

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

11001002012 is a wasteful number, since it uses less digits than its factorization.

11001002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11001002012 its reverse (21020010011), we get a palindrome (32021012023).

The spelling of 11001002012 in words is "eleven billion, one million, two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 121 143 154 182 202 242 286 308 364 404 484 572 707 847 1001 1111 1313 1414 1573 1694 2002 2222 2473 2626 2828 3146 3388 4004 4444 4946 5252 6292 7777 9191 9892 11011 12221 14443 15554 17311 18382 22022 24442 27203 28886 31108 32149 34622 36764 44044 48884 54406 57772 64298 69244 85547 101101 108812 128596 158873 171094 190421 202202 225043 249773 299233 317746 342188 353639 380842 404404 450086 499546 598466 635492 707278 761684 900172 999092 1112111 1196932 1414556 1748411 2094631 2224222 2475473 2747503 3247049 3496822 3890029 4189262 4448444 4950946 5495006 6494098 6993644 7780058 8378524 9901892 10990012 12988196 15560116 19232521 22729343 27230203 30222533 35717539 38465042 45458686 54460406 60445066 71435078 76930084 90917372 108920812 120890132 142870156 211557731 250022773 392892929 423115462 500045546 785785858 846230924 1000091092 1571571716 2750250503 5500501006 11001002012