Search a number
-
+
110000100001000 = 23531110199009991
BaseRepresentation
bin11001000000101101100100…
…111000101100010011101000
3112102110220111002201100200211
4121000231210320230103220
5103404220201100013000
61025541203123110504
732112150010514626
oct3100554470542350
9472426432640624
10110000100001000
113205a864832450
121040690ab12434
13494bc70c15551
141d24067332516
15cab54d3b77ba
hex640b64e2c4e8

110000100001000 has 128 divisors (see below), whose sum is σ = 283580458686720. Its totient is φ = 39603996000000.

The previous prime is 110000100000953. The next prime is 110000100001039. The reversal of 110000100001000 is 100001000011.

It is a Harshad number since it is a multiple of its sum of digits (4).

110000100001000 is a modest number, since divided by 100001000 gives 11000 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48393996 + ... + 50615995.

It is an arithmetic number, because the mean of its divisors is an integer number (2215472333490).

Almost surely, 2110000100001000 is an apocalyptic number.

110000100001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110000100001000 is an abundant number, since it is smaller than the sum of its proper divisors (173580358685720).

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

110000100001000 is a wasteful number, since it uses less digits than its factorization.

110000100001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99010124 (or 99010110 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 110000100001000 its reverse (100001000011), we get a palindrome (110100101001011).

The spelling of 110000100001000 in words is "one hundred ten trillion, one hundred million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 27775 44440 50500 55550 101000 111100 138875 222200 277750 555500 1111000 99009991 198019982 396039964 495049955 792079928 990099910 1089109901 1980199820 2178219802 2475249775 3960399640 4356439604 4950499550 5445549505 8712879208 9900999100 10000009091 10891099010 12376248875 19801998200 20000018182 21782198020 24752497750 27227747525 40000036364 43564396040 49504995500 50000045455 54455495050 80000072728 99009991000 100000090910 108910990100 110000100001 136138737625 200000181820 217821980200 220000200002 250000227275 272277475250 400000363640 440000400004 500000454550 544554950500 550000500005 880000800008 1000000909100 1089109901000 1100001000010 1250001136375 2000001818200 2200002000020 2500002272750 2750002500025 4400004000040 5000004545500 5500005000050 10000009091000 11000010000100 13750012500125 22000020000200 27500025000250 55000050000500 110000100001000