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123430200144 = 24361151279173
BaseRepresentation
bin111001011110100000…
…0110110001101010000
3102210121001200211111020
41302331000312031100
54010241112401034
6132411505315440
711626500250626
oct1627500661520
9383531624436
10123430200144
114838a148279
121bb08635b80
13b840a552b4
145d8cb35516
1533261c6249
hex1cbd036350

123430200144 has 80 divisors (see below), whose sum is σ = 326236036224. Its totient is φ = 40200768000.

The previous prime is 123430200139. The next prime is 123430200149. The reversal of 123430200144 is 441002034321.

It is an interprime number because it is at equal distance from previous prime (123430200139) and next prime (123430200149).

It is a super-3 number, since 3×1234302001443 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123430200149) 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 15 ways as a sum of consecutive naturals, for example, 302542 + ... + 581714.

Almost surely, 2123430200144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123430200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163118018112).

123430200144 is an abundant number, since it is smaller than the sum of its proper divisors (202805836080).

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

123430200144 is a wasteful number, since it uses less digits than its factorization.

123430200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279396 (or 279390 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 123430200144 its reverse (441002034321), we get a palindrome (564432234465).

The spelling of 123430200144 in words is "one hundred twenty-three billion, four hundred thirty million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 151 183 244 302 366 453 488 604 732 906 976 1208 1464 1812 2416 2928 3624 7248 9211 18422 27633 36844 55266 73688 110532 147376 221064 279173 442128 558346 837519 1116692 1675038 2233384 3350076 4466768 6700152 13400304 17029553 34059106 42155123 51088659 68118212 84310246 102177318 126465369 136236424 168620492 204354636 252930738 272472848 337240984 408709272 505861476 674481968 817418544 1011722952 2023445904 2571462503 5142925006 7714387509 10285850012 15428775018 20571700024 30857550036 41143400048 61715100072 123430200144