Search a number
-
+
141131212210100 = 22527773260822791
BaseRepresentation
bin100000000101101110101011…
…110001010011111110110100
3200111201000022211120212100102
4200011232223301103332310
5121444243210311210400
61220054441150333232
741504252001313520
oct4005565361237664
9614630284525312
10141131212210100
1140a724580116a2
12139b42114ba218
136099801a5ba38
1426bcb03bcad80
15114b2302149d5
hex805babc53fb4

141131212210100 has 72 divisors (see below), whose sum is σ = 350458195989888. Its totient is φ = 48325246531200.

The previous prime is 141131212210073. The next prime is 141131212210207. The reversal of 141131212210100 is 1012212131141.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129870296 + ... + 130952495.

It is an arithmetic number, because the mean of its divisors is an integer number (4867474944304).

Almost surely, 2141131212210100 is an apocalyptic number.

141131212210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141131212210100 is an abundant number, since it is smaller than the sum of its proper divisors (209326983779788).

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

141131212210100 is a wasteful number, since it uses less digits than its factorization.

141131212210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260823585 (or 260823578 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 141131212210100 its reverse (1012212131141), we get a palindrome (142143424341241).

The spelling of 141131212210100 in words is "one hundred forty-one trillion, one hundred thirty-one billion, two hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 773 1546 3092 3865 5411 7730 10822 15460 19325 21644 27055 38650 54110 77300 108220 135275 270550 541100 260822791 521645582 1043291164 1304113955 1825759537 2608227910 3651519074 5216455820 6520569775 7303038148 9128797685 13041139550 18257595370 26082279100 36515190740 45643988425 91287976850 182575953700 201616017443 403232034886 806464069772 1008080087215 1411312122101 2016160174430 2822624244202 4032320348860 5040400436075 5645248488404 7056560610505 10080800872150 14113121221010 20161601744300 28226242442020 35282803052525 70565606105050 141131212210100