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1332114120 = 233351233439
BaseRepresentation
bin100111101100110…
…0111001011001000
310102211121102001000
41033121213023020
510212010122440
6340103455000
745003532431
oct11731471310
93384542030
101332114120
11623a42067
12312157460
13182ca030c
14c8cc0488
157be35730
hex4f6672c8

1332114120 has 64 divisors (see below), whose sum is σ = 4440384000. Its totient is φ = 355230144.

The previous prime is 1332114103. The next prime is 1332114143. The reversal of 1332114120 is 214112331.

1332114120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 1332114093 and 1332114102.

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, 615640 + ... + 617799.

It is an arithmetic number, because the mean of its divisors is an integer number (69381000).

Almost surely, 21332114120 is an apocalyptic number.

1332114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332114120 is an abundant number, since it is smaller than the sum of its proper divisors (3108269880).

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

1332114120 is a wasteful number, since it uses less digits than its factorization.

1332114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233459 (or 1233449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1332114120 is about 36498.1385826730. The cubic root of 1332114120 is about 1100.3068345137.

Adding to 1332114120 its reverse (214112331), we get a palindrome (1546226451).

The spelling of 1332114120 in words is "one billion, three hundred thirty-two million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1233439 2466878 3700317 4933756 6167195 7400634 9867512 11100951 12334390 14801268 18501585 22201902 24668780 29602536 33302853 37003170 44403804 49337560 55504755 66605706 74006340 88807608 111009510 133211412 148012680 166514265 222019020 266422824 333028530 444038040 666057060 1332114120