Search a number
-
+
11001011342200 = 2352115472191381
BaseRepresentation
bin1010000000010101111101…
…0111111000101101111000
31102221200112101200011222221
42200011133113320231320
52420220032400422300
635221443404053424
72213540213354005
oct240053727705570
942850471604887
1011001011342200
11356155911a310
1212980a0534274
1361a510b029a9
142a06479d68ac
1514126537b31a
hexa015f5f8b78

11001011342200 has 96 divisors (see below), whose sum is σ = 27903380386320. Its totient is φ = 4000250880000.

The previous prime is 11001011342177. The next prime is 11001011342201. The reversal of 11001011342200 is 224311010011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001011342201) by changing a digit.

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, 120340510 + ... + 120431890.

Almost surely, 211001011342200 is an apocalyptic number.

11001011342200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001011342200 is an abundant number, since it is smaller than the sum of its proper divisors (16902369044120).

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

11001011342200 is a wasteful number, since it uses less digits than its factorization.

11001011342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146129 (or 146120 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11001011342200 its reverse (224311010011), we get a palindrome (11225322352211).

The spelling of 11001011342200 in words is "eleven trillion, one billion, eleven million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 54721 91381 109442 182762 218884 273605 365524 437768 456905 547210 601931 731048 913810 1005191 1094420 1203862 1368025 1827620 2010382 2188840 2284525 2407724 2736050 3009655 3655240 4020764 4569050 4815448 5025955 5472100 6019310 8041528 9138100 10051910 10944200 12038620 15048275 18276200 20103820 24077240 25129775 30096550 40207640 50259550 60193100 100519100 120386200 201038200 5000459701 10000919402 20001838804 25002298505 40003677608 50004597010 55005056711 100009194020 110010113422 125011492525 200018388040 220020226844 250022985050 275025283555 440040453688 500045970100 550050567110 1000091940200 1100101134220 1375126417775 2200202268440 2750252835550 5500505671100 11001011342200