Search a number
-
+
1141124001020 = 22583905975883
BaseRepresentation
bin10000100110110000010…
…010100110110011111100
311001002102220010110202122
4100212300102212303330
5122144010221013040
62232120343342112
7145305054653153
oct20466022466374
94032386113678
101141124001020
113aaa478276a3
121651a8151938
13837b8992aa3
143d33306059a
151ea3aeb01b5
hex109b04a6cfc

1141124001020 has 48 divisors (see below), whose sum is σ = 2425531893120. Its totient is φ = 450894486336.

The previous prime is 1141124001019. The next prime is 1141124001049. The reversal of 1141124001020 is 201004211411.

It is a super-2 number, since 2×11411240010202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1141124001020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14999999 + ... + 15075881.

It is an arithmetic number, because the mean of its divisors is an integer number (50531914440).

Almost surely, 21141124001020 is an apocalyptic number.

1141124001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141124001020 is an abundant number, since it is smaller than the sum of its proper divisors (1284407892100).

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

1141124001020 is a wasteful number, since it uses less digits than its factorization.

1141124001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85034 (or 85032 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 1141124001020 its reverse (201004211411), we get a palindrome (1342128212431).

The spelling of 1141124001020 in words is "one trillion, one hundred forty-one billion, one hundred twenty-four million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 83 166 332 415 830 1660 9059 18118 36236 45295 75883 90590 151766 181180 303532 379415 751897 758830 1503794 1517660 3007588 3759485 6298289 7518970 12596578 15037940 25193156 31491445 62982890 125965780 687424097 1374848194 2749696388 3437120485 6874240970 13748481940 57056200051 114112400102 228224800204 285281000255 570562000510 1141124001020