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11000211120120 = 2335175392260353
BaseRepresentation
bin1010000000010010111110…
…1011010001111111111000
31102221121110121220200200010
42200010233223101333320
52420211413021320440
635221232140341520
72213511325524015
oct240045753217770
942847417820603
1011000211120120
113561188447652
121297ab85448a0
1361a4140a29c1
142a05ad61070c
15141219ead580
hexa012fad1ff8

11000211120120 has 64 divisors (see below), whose sum is σ = 34941847093920. Its totient is φ = 2760837300224.

The previous prime is 11000211120023. The next prime is 11000211120167. The reversal of 11000211120120 is 2102111200011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11000211120096 and 11000211120105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2696128137 + ... + 2696132216.

Almost surely, 211000211120120 is an apocalyptic number.

11000211120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000211120120 is an abundant number, since it is smaller than the sum of its proper divisors (23941635973800).

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

11000211120120 is a wasteful number, since it uses less digits than its factorization.

11000211120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392260384 (or 5392260380 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000211120120 its reverse (2102111200011), we get a palindrome (13102322320131).

The spelling of 11000211120120 in words is "eleven trillion, two hundred eleven million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 5392260353 10784520706 16176781059 21569041412 26961301765 32353562118 43138082824 53922603530 64707124236 80883905295 91668426001 107845207060 129414248472 161767810590 183336852002 215690414120 275005278003 323535621180 366673704004 458342130005 550010556006 647071242360 733347408008 916684260010 1100021112012 1375026390015 1833368520020 2200042224024 2750052780030 3666737040040 5500105560060 11000211120120