Search a number
-
+
1100011000110 = 2351131372906161
BaseRepresentation
bin10000000000011101110…
…000111101000100101110
310220011022122202122001020
4100000131300331010232
5121010310304000420
62201201005155010
7142321204140561
oct20003560750456
93804278678036
101100011000110
1139456a5945a0
1215923355ba66
137c96615a109
143b352b2c4d8
151d931925340
hex1001dc3d12e

1100011000110 has 128 divisors (see below), whose sum is σ = 3053283545088. Its totient is φ = 251092224000.

The previous prime is 1100011000103. The next prime is 1100011000117. The reversal of 1100011000110 is 110001100011.

It is an interprime number because it is at equal distance from previous prime (1100011000103) and next prime (1100011000117).

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

1100011000110 is a modest number, since divided by 11000110 gives 110 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100011000117) 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 63 ways as a sum of consecutive naturals, for example, 1074571 + ... + 1831590.

It is an arithmetic number, because the mean of its divisors is an integer number (23853777696).

Almost surely, 21100011000110 is an apocalyptic number.

1100011000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1100011000110 is an abundant number, since it is smaller than the sum of its proper divisors (1953272544978).

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

1100011000110 is a wasteful number, since it uses less digits than its factorization.

1100011000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906250.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1100011000110 its reverse (110001100011), we get a palindrome (1210012100121).

Subtracting from 1100011000110 its reverse (110001100011), we obtain a palindrome (990009900099).

It can be divided in two parts, 110001 and 1000110, that added together give a palindrome (1110111).

The spelling of 1100011000110 in words is "one trillion, one hundred billion, eleven million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 37 55 62 66 74 93 110 111 155 165 185 186 222 310 330 341 370 407 465 555 682 814 930 1023 1110 1147 1221 1705 2035 2046 2294 2442 3410 3441 4070 5115 5735 6105 6882 10230 11470 12210 12617 17205 25234 34410 37851 63085 75702 126170 189255 378510 2906161 5812322 8718483 14530805 17436966 29061610 31967771 43592415 63935542 87184830 90090991 95903313 107527957 159838855 180181982 191806626 215055914 270272973 319677710 322583871 450454955 479516565 537639785 540545946 645167742 900909910 959033130 991000901 1075279570 1182807527 1351364865 1612919355 1982001802 2365615054 2702729730 2973002703 3225838710 3333366667 3548422581 4955004505 5914037635 5946005406 6666733334 7096845162 9910009010 10000100001 11828075270 14865013515 16666833335 17742112905 20000200002 29730027030 33333666670 35484225810 36667033337 50000500005 73334066674 100001000010 110001100011 183335166685 220002200022 366670333370 550005500055 1100011000110