34203240133100 has 72 divisors (see below), whose sum is σ = 76078923533088. Its totient is φ = 13339245427200.

The previous prime is 34203240133087. The next prime is 34203240133123. The reversal of 34203240133100 is 133104230243.

It is a super-2 number, since 2×34203240133100² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34203240133100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3935849 + ... + 9159551.

Almost surely, 2^{34203240133100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34203240133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38039461766544).

34203240133100 is an abundant number, since it is smaller than the sum of its proper divisors (41875683399988).

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

34203240133100 is a wasteful number, since it uses less digits than its factorization.

34203240133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5225355 (or 5225348 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 34203240133100 its reverse (133104230243), we get a palindrome (34336344363343).

The spelling of 34203240133100 in words is "thirty-four trillion, two hundred three billion, two hundred forty million, one hundred thirty-three thousand, one hundred".