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114103000224 = 2532396190973
BaseRepresentation
bin110101001000100010…
…0011001110010100000
3101220112000220222120100
41222101010121302200
53332140332001344
6124230155142400
711146402333143
oct1522104316240
9356460828510
10114103000224
1144433194994
121a144a44a00
13a9b55728a5
1457460aa05a
152e7c416569
hex1a91119ca0

114103000224 has 36 divisors (see below), whose sum is σ = 324480407706. Its totient is φ = 38034333312.

The previous prime is 114103000201. The next prime is 114103000261. The reversal of 114103000224 is 422000301411.

114103000224 is a `hidden beast` number, since 1 + 1 + 410 + 30 + 0 + 0 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64043412624 + 50059587600 = 253068^2 + 223740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114103000197 and 114103000206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 198095199 + ... + 198095774.

Almost surely, 2114103000224 is an apocalyptic number.

It is an amenable number.

114103000224 is an abundant number, since it is smaller than the sum of its proper divisors (210377407482).

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

114103000224 is a wasteful number, since it uses less digits than its factorization.

114103000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396190989 (or 396190978 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114103000224 its reverse (422000301411), we get a palindrome (536103301635).

The spelling of 114103000224 in words is "one hundred fourteen billion, one hundred three million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 396190973 792381946 1188572919 1584763892 2377145838 3169527784 3565718757 4754291676 6339055568 7131437514 9508583352 12678111136 14262875028 19017166704 28525750056 38034333408 57051500112 114103000224