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1302342120 = 2332517212801
BaseRepresentation
bin100110110100000…
…0010100111101000
310100202120211112100
41031220002213220
510131344421440
6333121413400
744162503542
oct11550024750
93322524470
101302342120
11609157a02
1230419a260
13179a78051
14c4d70692
1579504230
hex4da029e8

1302342120 has 96 divisors (see below), whose sum is σ = 4481610120. Its totient is φ = 326860800.

The previous prime is 1302342109. The next prime is 1302342143. The reversal of 1302342120 is 212432031.

1302342120 is a `hidden beast` number, since 1 + 302 + 342 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1292114916 + 10227204 = 35946^2 + 3198^2 .

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 = 1302342093 and 1302342102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100281 + ... + 112520.

Almost surely, 21302342120 is an apocalyptic number.

1302342120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1302342120 is an abundant number, since it is smaller than the sum of its proper divisors (3179268000).

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

1302342120 is a wasteful number, since it uses less digits than its factorization.

1302342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212835 (or 212828 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1302342120 is about 36087.9774994388. The cubic root of 1302342120 is about 1092.0479188407.

Adding to 1302342120 its reverse (212432031), we get a palindrome (1514774151).

The spelling of 1302342120 in words is "one billion, three hundred two million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 212801 425602 638403 851204 1064005 1276806 1702408 1915209 2128010 2553612 3192015 3617617 3830418 4256020 5107224 6384030 7235234 7660836 8512040 9576045 10852851 12768060 14470468 15321672 18088085 19152090 21705702 25536120 28940936 32558553 36176170 38304180 43411404 54264255 65117106 72352340 76608360 86822808 108528510 130234212 144704680 162792765 217057020 260468424 325585530 434114040 651171060 1302342120