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1144312200200 = 235213440120077
BaseRepresentation
bin10000101001101110010…
…100100111110000001000
311001101200002021202211202
4100221232110213300020
5122222022410401300
62233404553443332
7145450060133411
oct20515624476010
94041602252752
101144312200200
1140133344a954
12165937a10548
1383ba635c190
143d556656808
151eb75d2bad5
hex10a6e527c08

1144312200200 has 48 divisors (see below), whose sum is σ = 2865181707780. Its totient is φ = 422515272960.

The previous prime is 1144312200197. The next prime is 1144312200203. The reversal of 1144312200200 is 20022134411.

It is an interprime number because it is at equal distance from previous prime (1144312200197) and next prime (1144312200203).

It can be written as a sum of positive squares in 6 ways, for example, as 108993740164 + 1035318460036 = 330142^2 + 1017506^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1144312200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220057439 + ... + 220062638.

Almost surely, 21144312200200 is an apocalyptic number.

1144312200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144312200200 is an abundant number, since it is smaller than the sum of its proper divisors (1720869507580).

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

1144312200200 is a wasteful number, since it uses less digits than its factorization.

1144312200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440120106 (or 440120097 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1144312200200 its reverse (20022134411), we get a palindrome (1164334334611).

The spelling of 1144312200200 in words is "one trillion, one hundred forty-four billion, three hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 440120077 880240154 1760480308 2200600385 3520960616 4401200770 5721561001 8802401540 11003001925 11443122002 17604803080 22006003850 22886244004 28607805005 44012007700 45772488008 57215610010 88024015400 114431220020 143039025025 228862440040 286078050050 572156100100 1144312200200