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1242100000 = 255512421
BaseRepresentation
bin100101000001000…
…1111000100100000
310012120020012212201
41022002033010200
510020434200000
6323130302544
742531450541
oct11202170440
93176205781
101242100000
11588151129
122a7b87a54
1316a444b1b
14bad6c4c8
15740a496a
hex4a08f120

1242100000 has 72 divisors (see below), whose sum is σ = 3056780916. Its totient is φ = 496800000.

The previous prime is 1242099979. The next prime is 1242100007. The reversal of 1242100000 is 12421.

It can be written as a sum of positive squares in 6 ways, for example, as 3341584 + 1238758416 = 1828^2 + 35196^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1242100000.

It is not an unprimeable number, because it can be changed into a prime (1242100007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93790 + ... + 106210.

Almost surely, 21242100000 is an apocalyptic number.

1242100000 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 1242100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528390458).

1242100000 is an abundant number, since it is smaller than the sum of its proper divisors (1814680916).

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

1242100000 is an frugal number, since it uses more digits than its factorization.

1242100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12456 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1242100000 is about 35243.4391057400. The cubic root of 1242100000 is about 1074.9432095472.

Adding to 1242100000 its reverse (12421), we get a palindrome (1242112421).

1242100000 divided by its reverse (12421) gives a 5-th power (100000 = 105).

The spelling of 1242100000 in words is "one billion, two hundred forty-two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12421 12500 20000 24842 25000 49684 50000 62105 99368 100000 124210 198736 248420 310525 397472 496840 621050 993680 1242100 1552625 1987360 2484200 3105250 4968400 6210500 7763125 9936800 12421000 15526250 24842000 31052500 38815625 49684000 62105000 77631250 124210000 155262500 248420000 310525000 621050000 1242100000