Search a number
-
+
20241143120 = 24511181127079
BaseRepresentation
bin10010110110011101…
…110101010101010000
31221020122021121102102
4102312131311111100
5312423213034440
613144301535532
71314410610032
oct226635652520
957218247372
1020241143120
118647663460
123b0a8745a8
131ba7638b83
14da0337c52
157d7000b15
hex4b6775550

20241143120 has 80 divisors (see below), whose sum is σ = 51622945920. Its totient is φ = 7319692800.

The previous prime is 20241143119. The next prime is 20241143129. The reversal of 20241143120 is 2134114202.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 20241143092 and 20241143101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20241143129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95741 + ... + 222819.

It is an arithmetic number, because the mean of its divisors is an integer number (645286824).

Almost surely, 220241143120 is an apocalyptic number.

20241143120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20241143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25811472960).

20241143120 is an abundant number, since it is smaller than the sum of its proper divisors (31381802800).

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

20241143120 is a wasteful number, since it uses less digits than its factorization.

20241143120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127284 (or 127278 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20241143120 its reverse (2134114202), we get a palindrome (22375257322).

It can be divided in two parts, 20241 and 143120, that added together give a palindrome (163361).

The spelling of 20241143120 in words is "twenty billion, two hundred forty-one million, one hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 181 220 362 440 724 880 905 1448 1810 1991 2896 3620 3982 7240 7964 9955 14480 15928 19910 31856 39820 79640 127079 159280 254158 508316 635395 1016632 1270790 1397869 2033264 2541580 2795738 5083160 5591476 6989345 10166320 11182952 13978690 22365904 23001299 27957380 46002598 55914760 92005196 111829520 115006495 184010392 230012990 253014289 368020784 460025980 506028578 920051960 1012057156 1265071445 1840103920 2024114312 2530142890 4048228624 5060285780 10120571560 20241143120