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1200102144 = 2834138113
BaseRepresentation
bin100011110001000…
…0001101100000000
310002122012111122120
41013202001230000
54424211232034
6315030204240
741511462033
oct10742015400
93078174576
101200102144
1156647655a
12295ab3680
1316182bb17
14b555901a
157055ac49
hex47881b00

1200102144 has 72 divisors (see below), whose sum is σ = 3272010672. Its totient is φ = 390266880.

The previous prime is 1200102109. The next prime is 1200102203. The reversal of 1200102144 is 4412010021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12432 + ... + 50544.

Almost surely, 21200102144 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 1200102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636005336).

1200102144 is an abundant number, since it is smaller than the sum of its proper divisors (2071908528).

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

1200102144 is an equidigital number, since it uses as much as digits as its factorization.

1200102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38173 (or 38159 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1200102144 is about 34642.4904416527. The cubic root of 1200102144 is about 1062.6887194930.

Adding to 1200102144 its reverse (4412010021), we get a palindrome (5612112165).

The spelling of 1200102144 in words is "one billion, two hundred million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1968 2624 3936 5248 7872 10496 15744 31488 38113 76226 114339 152452 228678 304904 457356 609808 914712 1219616 1562633 1829424 2439232 3125266 3658848 4687899 4878464 6250532 7317696 9375798 9756928 12501064 14635392 18751596 25002128 29270784 37503192 50004256 75006384 100008512 150012768 200017024 300025536 400034048 600051072 1200102144