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114350100 = 22352381167
BaseRepresentation
bin1101101000011…
…01100000010100
321222011120211220
412310031200110
5213233200400
615202530340
72555650134
oct664154024
9258146756
10114350100
1159602a17
12323669b0
131a8c93a7
1411288ac4
15a08b7a0
hex6d0d814

114350100 has 36 divisors (see below), whose sum is σ = 330853824. Its totient is φ = 30493280.

The previous prime is 114350069. The next prime is 114350101. The reversal of 114350100 is 1053411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114350100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114350101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190284 + ... + 190883.

It is an arithmetic number, because the mean of its divisors is an integer number (9190384).

Almost surely, 2114350100 is an apocalyptic number.

114350100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114350100 is an abundant number, since it is smaller than the sum of its proper divisors (216503724).

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

114350100 is a wasteful number, since it uses less digits than its factorization.

114350100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381184 (or 381177 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 114350100 is about 10693.4606185276. The cubic root of 114350100 is about 485.3766161049.

The spelling of 114350100 in words is "one hundred fourteen million, three hundred fifty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 381167 762334 1143501 1524668 1905835 2287002 3811670 4574004 5717505 7623340 9529175 11435010 19058350 22870020 28587525 38116700 57175050 114350100