Search a number
-
+
1124042240200 = 2352114431153337
BaseRepresentation
bin10000010110110110001…
…000110111000011001000
310222110100102210010002111
4100112312020313003020
5121404014303141300
62220213342112104
7144131546253205
oct20266610670310
93873312703074
101124042240200
113a37815a49a0
12161a1b57b634
1381cc5a739c9
143c59257acac
151e38b5379ba
hex105b62370c8

1124042240200 has 96 divisors (see below), whose sum is σ = 2857417961760. Its totient is φ = 407819609600.

The previous prime is 1124042240197. The next prime is 1124042240207. The reversal of 1124042240200 is 20422404211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1124042240207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397932 + ... + 1551268.

It is an arithmetic number, because the mean of its divisors is an integer number (29764770435).

Almost surely, 21124042240200 is an apocalyptic number.

1124042240200 is a gapful number since it is divisible by the number (10) 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 1124042240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428708980880).

1124042240200 is an abundant number, since it is smaller than the sum of its proper divisors (1733375721560).

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

1124042240200 is a wasteful number, since it uses less digits than its factorization.

1124042240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153807 (or 1153798 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1124042240200 its reverse (20422404211), we get a palindrome (1144464644411).

The spelling of 1124042240200 in words is "one trillion, one hundred twenty-four billion, forty-two million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 443 550 886 1100 1772 2200 2215 3544 4430 4873 8860 9746 11075 17720 19492 22150 24365 38984 44300 48730 88600 97460 121825 194920 243650 487300 974600 1153337 2306674 4613348 5766685 9226696 11533370 12686707 23066740 25373414 28833425 46133480 50746828 57666850 63433535 101493656 115333700 126867070 230667400 253734140 317167675 507468280 510928291 634335350 1021856582 1268670700 2043713164 2537341400 2554641455 4087426328 5109282910 5620211201 10218565820 11240422402 12773207275 20437131640 22480844804 25546414550 28101056005 44961689608 51092829100 56202112010 102185658200 112404224020 140505280025 224808448040 281010560050 562021120100 1124042240200