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11122213011120 = 2432520731745141
BaseRepresentation
bin1010000111011001011110…
…0011100011111010110000
31110101021101010222220100200
42201312113203203322300
52424211243012323440
635353250224315200
72225360543505231
oct241662743437260
943337333886320
1011122213011120
1135a89a4320042
1212b7686772b00
13628a87c47053
142a6464785088
151444aaa9bc30
hexa1d978e3eb0

11122213011120 has 120 divisors (see below), whose sum is σ = 37353950576592. Its totient is φ = 2965776422400.

The previous prime is 11122213011109. The next prime is 11122213011131. The reversal of 11122213011120 is 2111031222111.

It is a happy number.

11122213011120 is a `hidden beast` number, since 1 + 112 + 221 + 301 + 11 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (11122213011109) and next prime (11122213011131).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 11122213011093 and 11122213011102.

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, 14553750 + ... + 15298890.

Almost surely, 211122213011120 is an apocalyptic number.

11122213011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122213011120 is an abundant number, since it is smaller than the sum of its proper divisors (26231737565472).

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

11122213011120 is a wasteful number, since it uses less digits than its factorization.

11122213011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765891 (or 765882 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11122213011120 its reverse (2111031222111), we get a palindrome (13233244233231).

The spelling of 11122213011120 in words is "eleven trillion, one hundred twenty-two billion, two hundred thirteen million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 20731 41462 62193 82924 103655 124386 165848 186579 207310 248772 310965 331696 373158 414620 497544 621930 745141 746316 829240 932895 995088 1243860 1490282 1492632 1658480 1865790 2235423 2487720 2980564 2985264 3725705 3731580 4470846 4975440 5961128 6706269 7451410 7463160 8941692 11177115 11922256 13412538 14902820 14926320 17883384 22354230 26825076 29805640 33531345 35766768 44708460 53650152 59611280 67062690 89416920 107300304 134125380 178833840 268250760 536501520 15447518071 30895036142 46342554213 61790072284 77237590355 92685108426 123580144568 139027662639 154475180710 185370216852 231712771065 247160289136 278055325278 308950361420 370740433704 463425542130 556110650556 617900722840 695138313195 741480867408 926851084260 1112221301112 1235801445680 1390276626390 1853702168520 2224442602224 2780553252780 3707404337040 5561106505560 11122213011120