355152242100 has 144 divisors (see below), whose sum is σ = 1050321650112. Its totient is φ = 92622167040.

The previous prime is 355152242099. The next prime is 355152242117. The reversal of 355152242100 is 1242251553.

It is a super-2 number, since 2×355152242100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4941019 + ... + 5012381.

It is an arithmetic number, because the mean of its divisors is an integer number (7293900348).

Almost surely, 2^355152242100 is an apocalyptic number.

355152242100 is a gapful number since it is divisible by the number (30) 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 355152242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525160825056).

355152242100 is an abundant number, since it is smaller than the sum of its proper divisors (695169408012).

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

355152242100 is a wasteful number, since it uses less digits than its factorization.

355152242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71746 (or 71739 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 355152242100 its reverse (1242251553), we get a palindrome (356394493653).

The spelling of 355152242100 in words is "three hundred fifty-five billion, one hundred fifty-two million, two hundred forty-two thousand, one hundred".