242014240100 has 72 divisors (see below), whose sum is σ = 529998322728. Its totient is φ = 95918515200.

The previous prime is 242014240043. The next prime is 242014240109. The reversal of 242014240100 is 1042410242.

242014240100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 76261031716 + 165753208384 = 276154^2 + 407128^2 .

It is a super-2 number, since 2×242014240100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (242014240109) 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, 7395374 + ... + 7428026.

Almost surely, 2^242014240100 is an apocalyptic number.

242014240100 is a gapful number since it is divisible by the number (20) 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 242014240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264999161364).

242014240100 is an abundant number, since it is smaller than the sum of its proper divisors (287984082628).

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

242014240100 is a wasteful number, since it uses less digits than its factorization.

242014240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33345 (or 33338 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 242014240100 its reverse (1042410242), we get a palindrome (243056650342).

The spelling of 242014240100 in words is "two hundred forty-two billion, fourteen million, two hundred forty thousand, one hundred".