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1060320414330 = 2325160116574441
BaseRepresentation
bin11110110111000000000…
…01011000101001111010
310202100212112220222001200
433123200001120221322
5114333014011224310
62131034322155030
7136414504546212
oct17334001305172
93670775828050
101060320414330
1137975225aa91
121515b71b2a76
1378cac2206b8
14394696a5242
151c8ac1ab9c0
hexf6e0058a7a

1060320414330 has 96 divisors (see below), whose sum is σ = 2760841341648. Its totient is φ = 282341376000.

The previous prime is 1060320414311. The next prime is 1060320414331. The reversal of 1060320414330 is 334140230601.

1060320414330 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 320 + 4 + 1 + 4 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 683087373081 + 377233041249 = 826491^2 + 614193^2 .

It is a super-2 number, since 2×10603204143302 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1060320414294 and 1060320414303.

It is not an unprimeable number, because it can be changed into a prime (1060320414331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238754910 + ... + 238759350.

Almost surely, 21060320414330 is an apocalyptic number.

1060320414330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1060320414330 is an abundant number, since it is smaller than the sum of its proper divisors (1700520927318).

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

1060320414330 is a wasteful number, since it uses less digits than its factorization.

1060320414330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1060320414330 its reverse (334140230601), we get a palindrome (1394460644931).

The spelling of 1060320414330 in words is "one trillion, sixty billion, three hundred twenty million, four hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1601 1657 3202 3314 4441 4803 4971 8005 8285 8882 9606 9942 13323 14409 14913 16010 16570 22205 24015 24855 26646 28818 29826 39969 44410 48030 49710 66615 72045 74565 79938 133230 144090 149130 199845 399690 2652857 5305714 7110041 7358737 7958571 13264285 14220082 14717474 15917142 21330123 22076211 23875713 26528570 35550205 36793685 39792855 42660246 44152422 47751426 63990369 66228633 71100410 73587370 79585710 106650615 110381055 119378565 127980738 132457266 213301230 220762110 238757130 319951845 331143165 639903690 662286330 11781337937 23562675874 35344013811 58906689685 70688027622 106032041433 117813379370 176720069055 212064082866 353440138110 530160207165 1060320414330