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1201010064 = 243196312087
BaseRepresentation
bin100011110010101…
…1111010110010000
310002200220122002020
41013211133112100
54424424310224
6315101451440
741522263032
oct10745372620
93080818066
101201010064
11566a36701
12296270b80
13161a89157
14b5713c52
1570689c79
hex4795f590

1201010064 has 80 divisors (see below), whose sum is σ = 3272647680. Its totient is φ = 378483840.

The previous prime is 1201010009. The next prime is 1201010093. The reversal of 1201010064 is 4600101021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574429 + ... + 576515.

It is an arithmetic number, because the mean of its divisors is an integer number (40908096).

Almost surely, 21201010064 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 1201010064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636323840).

1201010064 is an abundant number, since it is smaller than the sum of its proper divisors (2071637616).

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

1201010064 is a wasteful number, since it uses less digits than its factorization.

1201010064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1201010064 is about 34655.5921028627. The cubic root of 1201010064 is about 1062.9566392247.

Adding to 1201010064 its reverse (4600101021), we get a palindrome (5801111085).

The spelling of 1201010064 in words is "one billion, two hundred one million, ten thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 631 912 1262 1893 2087 2524 3786 4174 5048 6261 7572 8348 10096 11989 12522 15144 16696 23978 25044 30288 33392 35967 39653 47956 50088 71934 79306 95912 100176 118959 143868 158612 191824 237918 287736 317224 475836 575472 634448 951672 1316897 1903344 2633794 3950691 5267588 7901382 10535176 15802764 21070352 25021043 31605528 50042086 63211056 75063129 100084172 150126258 200168344 300252516 400336688 600505032 1201010064