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112100011020 = 223351910925927
BaseRepresentation
bin110100001100110101…
…1100110110000001100
3101201100102221120221000
41220121223212300030
53314040100323040
6123255324140300
711045641241364
oct1503153466014
9351312846830
10112100011020
11435a5596508
1219886097690
13a7565bca8a
1455d60739a4
152db1663130
hex1a19ae6c0c

112100011020 has 96 divisors (see below), whose sum is σ = 367111180800. Its totient is φ = 28320000192.

The previous prime is 112100010977. The next prime is 112100011057. The reversal of 112100011020 is 20110001211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112100010993 and 112100011011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5452704 + ... + 5473223.

It is an arithmetic number, because the mean of its divisors is an integer number (3824074800).

Almost surely, 2112100011020 is an apocalyptic number.

112100011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100011020 is an abundant number, since it is smaller than the sum of its proper divisors (255011169780).

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

112100011020 is a wasteful number, since it uses less digits than its factorization.

112100011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10925964 (or 10925956 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 112100011020 its reverse (20110001211), we get a palindrome (132210012231).

The spelling of 112100011020 in words is "one hundred twelve billion, one hundred million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 10925927 21851854 32777781 43703708 54629635 65555562 98333343 109259270 131111124 163888905 196666686 207592613 218518540 295000029 327777810 393333372 415185226 491666715 590000058 622777839 655555620 830370452 983333430 1037963065 1180000116 1245555678 1475000145 1868333517 1966666860 2075926130 2491111356 2950000290 3113889195 3736667034 4151852260 5605000551 5900000580 6227778390 7473334068 9341667585 11210001102 12455556780 18683335170 22420002204 28025002755 37366670340 56050005510 112100011020