Search a number
-
+
110131332122000 = 245378988387907
BaseRepresentation
bin11001000010100111110010…
…111011100000010110010000
3112102221110012220002211120202
4121002213302323200112100
5103413342432010401000
61030121345134554332
732124504035241530
oct3102476273402620
9472843186084522
10110131332122000
11321004879572a2
12104282343689a8
13495b456149a57
141d2a5562cd4c0
15caeb7e4addd5
hex6429f2ee0590

110131332122000 has 160 divisors (see below), whose sum is σ = 307759624623360. Its totient is φ = 37335051494400.

The previous prime is 110131332121981. The next prime is 110131332122011. The reversal of 110131332122000 is 221233131011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 42947954 + ... + 45439953.

It is an arithmetic number, because the mean of its divisors is an integer number (1923497653896).

Almost surely, 2110131332122000 is an apocalyptic number.

110131332122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110131332122000 is an abundant number, since it is smaller than the sum of its proper divisors (197628292501360).

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

110131332122000 is an equidigital number, since it uses as much as digits as its factorization.

110131332122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88388026 (or 88388010 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 110131332122000 its reverse (221233131011), we get a palindrome (110352565253011).

The spelling of 110131332122000 in words is "one hundred ten trillion, one hundred thirty-one billion, three hundred thirty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 89 100 112 125 140 175 178 200 250 280 350 356 400 445 500 560 623 700 712 875 890 1000 1246 1400 1424 1750 1780 2000 2225 2492 2800 3115 3500 3560 4450 4984 6230 7000 7120 8900 9968 11125 12460 14000 15575 17800 22250 24920 31150 35600 44500 49840 62300 77875 89000 124600 155750 178000 249200 311500 623000 1246000 88387907 176775814 353551628 441939535 618715349 707103256 883879070 1237430698 1414206512 1767758140 2209697675 2474861396 3093576745 3535516280 4419395350 4949722792 6187153490 7071032560 7866523723 8838790700 9899445584 11048488375 12374306980 15467883725 15733047446 17677581400 22096976750 24748613960 30935767450 31466094892 35355162800 39332618615 44193953500 49497227920 55065666061 61871534900 62932189784 77339418625 78665237230 88387907000 110131332122 123743069800 125864379568 154678837250 157330474460 176775814000 196663093075 220262664244 247486139600 275328330305 309357674500 314660948920 393326186150 440525328488 550656660610 618715349000 629321897840 786652372300 881050656976 983315465375 1101313321220 1237430698000 1376641651525 1573304744600 1966630930750 2202626642440 2753283303050 3146609489200 3933261861500 4405253284880 5506566606100 6883208257625 7866523723000 11013133212200 13766416515250 15733047446000 22026266424400 27532833030500 55065666061000 110131332122000