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1100000000112 = 243131992780027
BaseRepresentation
bin10000000000011101000…
…110111111100001110000
310220011021220001202212220
4100000131012333201300
5121010300000000422
62201155533321040
7142321011504606
oct20003506774160
93804256052786
101100000000112
11394564361092
1215922b936180
137c963aa8340
143b3514a7876
151d9309a0e5c
hex1001d1bf870

1100000000112 has 80 divisors (see below), whose sum is σ = 3221322572160. Its totient is φ = 320647769856.

The previous prime is 1100000000081. The next prime is 1100000000119. The reversal of 1100000000112 is 2110000000011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 1100000000112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100000000119) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46378158 + ... + 46401869.

It is an arithmetic number, because the mean of its divisors is an integer number (40266532152).

Almost surely, 21100000000112 is an apocalyptic number.

1100000000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100000000112 is an abundant number, since it is smaller than the sum of its proper divisors (2121322572048).

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

1100000000112 is a wasteful number, since it uses less digits than its factorization.

1100000000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92780070 (or 92780064 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1100000000112 its reverse (2110000000011), we get a palindrome (3210000000123).

It can be divided in two parts, 110000000011 and 2, that multiplied together give a palindrome (220000000022).

The spelling of 1100000000112 in words is "one trillion, one hundred billion, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 11856 92780027 185560054 278340081 371120108 556680162 742240216 1113360324 1206140351 1484480432 1762820513 2226720648 2412280702 3525641026 3618421053 4453441296 4824561404 5288461539 7051282052 7236842106 9649122808 10576923078 14102564104 14473684212 19298245616 21153846156 22916666669 28205128208 28947368424 42307692312 45833333338 57894736848 68750000007 84615384624 91666666676 137500000014 183333333352 275000000028 366666666704 550000000056 1100000000112