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1042042100 = 2252113725603
BaseRepresentation
bin111110000111000…
…100110011110100
32200121210020000212
4332013010303310
54113230321400
6251222324552
734552132421
oct7607046364
92617706025
101042042100
11495229720
12250b89758
13137b6a378
149c572d48
1561738335
hex3e1c4cf4

1042042100 has 72 divisors (see below), whose sum is σ = 2533567008. Its totient is φ = 368668800.

The previous prime is 1042042093. The next prime is 1042042103. The reversal of 1042042100 is 12402401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042042103) 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, 27899 + ... + 53501.

Almost surely, 21042042100 is an apocalyptic number.

1042042100 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 1042042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266783504).

1042042100 is an abundant number, since it is smaller than the sum of its proper divisors (1491524908).

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

1042042100 is a wasteful number, since it uses less digits than its factorization.

1042042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25665 (or 25658 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1042042100 is about 32280.6768826182. The cubic root of 1042042100 is about 1013.8221025738.

Adding to 1042042100 its reverse (12402401), we get a palindrome (1054444501).

The spelling of 1042042100 in words is "one billion, forty-two million, forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 4070 8140 10175 20350 25603 40700 51206 102412 128015 256030 281633 512060 563266 640075 947311 1126532 1280150 1408165 1894622 2560300 2816330 3789244 4736555 5632660 7040825 9473110 10420421 14081650 18946220 20840842 23682775 28163300 41681684 47365550 52102105 94731100 104204210 208408420 260510525 521021050 1042042100