Search a number
-
+
11001202212132 = 223211154277180071
BaseRepresentation
bin1010000000010110101010…
…1111111111110100100100
31102221201000200211101022200
42200011222233333310210
52420220430231242012
635221514343054500
72213545021624056
oct240055257776444
942851020741280
1011001202212132
113561646936760
121298134441430
1361a541511392
142a06650bd8d6
15141276ed03dc
hexa016abffd24

11001202212132 has 72 divisors (see below), whose sum is σ = 30337013633472. Its totient is φ = 3333657518400.

The previous prime is 11001202212107. The next prime is 11001202212163. The reversal of 11001202212132 is 23121220210011.

11001202212132 is a `hidden beast` number, since 110 + 0 + 120 + 221 + 213 + 2 = 666.

It is a super-2 number, since 2×110012022121322 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61003657 + ... + 61183727.

It is an arithmetic number, because the mean of its divisors is an integer number (421347411576).

Almost surely, 211001202212132 is an apocalyptic number.

11001202212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11001202212132 is an abundant number, since it is smaller than the sum of its proper divisors (19335811421340).

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

11001202212132 is a wasteful number, since it uses less digits than its factorization.

11001202212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334369 (or 334364 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11001202212132 its reverse (23121220210011), we get a palindrome (34122422422143).

The spelling of 11001202212132 in words is "eleven trillion, one billion, two hundred two million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 154277 180071 308554 360142 462831 540213 617108 720284 925662 1080426 1388493 1620639 1697047 1851324 1980781 2160852 2776986 3241278 3394094 3961562 5091141 5553972 5942343 6482556 6788188 7923124 10182282 11884686 15273423 17827029 20364564 23769372 30546846 35654058 61093692 71308116 27780813667 55561627334 83342441001 111123254668 166684882002 250027323003 305588950337 333369764004 500054646006 611177900674 916766851011 1000109292012 1222355801348 1833533702022 2750300553033 3667067404044 5500601106066 11001202212132