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1123430420200 = 235211673758767
BaseRepresentation
bin10000010110010001101…
…010111100111011101000
310222101202210112102211111
4100112101222330323220
5121401241141421300
62220032524440104
7144110440004344
oct20262152747350
93871683472744
101123430420200
113a3498203530
1216188a6a9034
1381c2909a03a
143c5351d8624
151e3529829ba
hex10591abcee8

1123430420200 has 96 divisors (see below), whose sum is σ = 2853665746560. Its totient is φ = 407912601600.

The previous prime is 1123430420197. The next prime is 1123430420209. The reversal of 1123430420200 is 20240343211.

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 (1123430420209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1101217 + ... + 1859983.

It is an arithmetic number, because the mean of its divisors is an integer number (29725684860).

Almost surely, 21123430420200 is an apocalyptic number.

1123430420200 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 1123430420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426832873280).

1123430420200 is an abundant number, since it is smaller than the sum of its proper divisors (1730235326360).

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

1123430420200 is a wasteful number, since it uses less digits than its factorization.

1123430420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759467 (or 759458 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1123430420200 its reverse (20240343211), we get a palindrome (1143670763411).

The spelling of 1123430420200 in words is "one trillion, one hundred twenty-three billion, four hundred thirty million, four hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 673 1100 1346 2200 2692 3365 5384 6730 7403 13460 14806 16825 26920 29612 33650 37015 59224 67300 74030 134600 148060 185075 296120 370150 740300 758767 1480600 1517534 3035068 3793835 6070136 7587670 8346437 15175340 16692874 18969175 30350680 33385748 37938350 41732185 66771496 75876700 83464370 151753400 166928740 208660925 333857480 417321850 510650191 834643700 1021300382 1669287400 2042600764 2553250955 4085201528 5106501910 5617152101 10213003820 11234304202 12766254775 20426007640 22468608404 25532509550 28085760505 44937216808 51065019100 56171521010 102130038200 112343042020 140428802525 224686084040 280857605050 561715210100 1123430420200