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33234140120100 = 22352110780467067
BaseRepresentation
bin1111000111001111011010…
…00111011100010000100100
311100200011010100220111220020
413203213231013130100210
513324002004332320400
6154403315254035140
710000041655003203
oct743475507342044
9140604110814806
1033234140120100
11a65357975a517
123888bba348ab0
131570c732c49ca
1482c78059923a
153c9769cbd2a0
hex1e39ed1dc424

33234140120100 has 36 divisors (see below), whose sum is σ = 96157445415024. Its totient is φ = 8862437365280.

The previous prime is 33234140120099. The next prime is 33234140120107. The reversal of 33234140120100 is 102104143233.

It is a happy number.

It is a super-2 number, since 2×332341401201002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33234140120107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55390233234 + ... + 55390233833.

Almost surely, 233234140120100 is an apocalyptic number.

33234140120100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33234140120100 is an abundant number, since it is smaller than the sum of its proper divisors (62923305294924).

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

33234140120100 is a wasteful number, since it uses less digits than its factorization.

33234140120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110780467084 (or 110780467077 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33234140120100 its reverse (102104143233), we get a palindrome (33336244263333).

The spelling of 33234140120100 in words is "thirty-three trillion, two hundred thirty-four billion, one hundred forty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 110780467067 221560934134 332341401201 443121868268 553902335335 664682802402 1107804670670 1329365604804 1661707006005 2215609341340 2769511676675 3323414012010 5539023353350 6646828024020 8308535030025 11078046706700 16617070060050 33234140120100