3142411332100 has 18 divisors (see below), whose sum is σ = 6819032590874. Its totient is φ = 1256964532800.

The previous prime is 3142411332031. The next prime is 3142411332101. The reversal of 3142411332100 is 12331142413.

3142411332100 is digitally balanced in base 2, 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 3 ways, for example, as 68020812864 + 3074390519236 = 260808^2 + 1753394^2 .

It is a super-2 number, since 2×3142411332100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3142411332101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15712056561 + ... + 15712056760.

Almost surely, 2^{3142411332100} is an apocalyptic number.

It is an amenable number.

3142411332100 is an abundant number, since it is smaller than the sum of its proper divisors (3676621258774).

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

3142411332100 is a wasteful number, since it uses less digits than its factorization.

3142411332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31424113335 (or 31424113328 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 3142411332100 its reverse (12331142413), we get a palindrome (3154742474513).

The spelling of 3142411332100 in words is "three trillion, one hundred forty-two billion, four hundred eleven million, three hundred thirty-two thousand, one hundred".