Search a number
-
+
110010100001000 = 23531725125781603
BaseRepresentation
bin11001000000110110111000…
…111011101010100011101000
3112102111212022000110222211012
4121000312320323222203220
5103404401141100013000
61025545535305523052
732112652555226603
oct3100667073524350
9472455260428735
10110010100001000
1132064026547461
121040883baa3488
13494cba5902a04
141d2473549533a
15cab936275735
hex640db8eea8e8

110010100001000 has 128 divisors (see below), whose sum is σ = 273652132440960. Its totient is φ = 41250563200000.

The previous prime is 110010100000979. The next prime is 110010100001003. The reversal of 110010100001000 is 100001010011.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (110010100001003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8623802 + ... + 17157801.

It is an arithmetic number, because the mean of its divisors is an integer number (2137907284695).

Almost surely, 2110010100001000 is an apocalyptic number.

110010100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010100001000 is an abundant number, since it is smaller than the sum of its proper divisors (163642032439960).

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

110010100001000 is a wasteful number, since it uses less digits than its factorization.

110010100001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25781892 (or 25781878 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 110010100001000 its reverse (100001010011), we get a palindrome (110110101011011).

The spelling of 110010100001000 in words is "one hundred ten trillion, ten billion, one hundred million, one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 251 340 425 500 502 680 850 1000 1004 1255 1700 2008 2125 2510 3400 4250 4267 5020 6275 8500 8534 10040 12550 17000 17068 21335 25100 31375 34136 42670 50200 62750 85340 106675 125500 170680 213350 251000 426700 533375 853400 1066750 2133500 4267000 25781603 51563206 103126412 128908015 206252824 257816030 438287251 515632060 644540075 876574502 1031264120 1289080150 1753149004 2191436255 2578160300 3222700375 3506298008 4382872510 5156320600 6445400750 6471182353 8765745020 10957181275 12890801500 12942364706 17531490040 21914362550 25781603000 25884729412 32355911765 43828725100 51769458824 54785906375 64711823530 87657450200 109571812750 110010100001 129423647060 161779558825 219143625500 220020200002 258847294120 323559117650 438287251000 440040400004 550050500005 647118235300 808897794125 880080800008 1100101000010 1294236470600 1617795588250 2200202000020 2750252500025 3235591176500 4400404000040 5500505000050 6471182353000 11001010000100 13751262500125 22002020000200 27502525000250 55005050000500 110010100001000