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114432033120100 = 22523136913559071
BaseRepresentation
bin11010000001001101001000…
…101011110101111101100100
3120000011121002010202221212121
4122001031020223311331210
5104444323300434320400
61043213203354555324
733050304312456463
oct3201151053657544
9500147063687777
10114432033120100
1133509397506433
1210a01840438b44
134bb0b82072857
14203877b8c89da
15d3698e44621a
hex681348af5f64

114432033120100 has 36 divisors (see below), whose sum is σ = 256327754195968. Its totient is φ = 44296270884000.

The previous prime is 114432033120059. The next prime is 114432033120121. The reversal of 114432033120100 is 1021330234411.

114432033120100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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, 18456776436 + ... + 18456782635.

Almost surely, 2114432033120100 is an apocalyptic number.

114432033120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114432033120100 is an abundant number, since it is smaller than the sum of its proper divisors (141895721075868).

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

114432033120100 is a wasteful number, since it uses less digits than its factorization.

114432033120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36913559116 (or 36913559109 counting only the distinct ones).

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

Adding to 114432033120100 its reverse (1021330234411), we get a palindrome (115453363354511).

The spelling of 114432033120100 in words is "one hundred fourteen trillion, four hundred thirty-two billion, thirty-three million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 36913559071 73827118142 147654236284 184567795355 369135590710 738271181420 922838976775 1144320331201 1845677953550 2288640662402 3691355907100 4577281324804 5721601656005 11443203312010 22886406624020 28608008280025 57216016560050 114432033120100