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1023421300 = 2252117911777
BaseRepresentation
bin111101000000000…
…010101101110100
32122022202012002121
4331000002231310
54043443440200
6245315245324
734234636366
oct7500025564
92568665077
101023421300
11485770630
122468a9844
1313404a945
1499cc6d36
155ecaae1a
hex3d002b74

1023421300 has 72 divisors (see below), whose sum is σ = 2453592960. Its totient is φ = 367411200.

The previous prime is 1023421283. The next prime is 1023421303. The reversal of 1023421300 is 31243201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023421303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81012 + ... + 92788.

It is an arithmetic number, because the mean of its divisors is an integer number (34077680).

Almost surely, 21023421300 is an apocalyptic number.

1023421300 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 1023421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226796480).

1023421300 is an abundant number, since it is smaller than the sum of its proper divisors (1430171660).

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

1023421300 is a wasteful number, since it uses less digits than its factorization.

1023421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1023421300 is about 31990.9565346208. The cubic root of 1023421300 is about 1007.7469300969.

Adding to 1023421300 its reverse (31243201), we get a palindrome (1054664501).

The spelling of 1023421300 in words is "one billion, twenty-three million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 395 550 790 869 1100 1580 1738 1975 3476 3950 4345 7900 8690 11777 17380 21725 23554 43450 47108 58885 86900 117770 129547 235540 259094 294425 518188 588850 647735 930383 1177700 1295470 1860766 2590940 3238675 3721532 4651915 6477350 9303830 10234213 12954700 18607660 20468426 23259575 40936852 46519150 51171065 93038300 102342130 204684260 255855325 511710650 1023421300