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1130302103130 = 2325372511352311
BaseRepresentation
bin10000011100101011010…
…000010101111001011010
311000001111200211002200200
4100130223100111321122
5122004324314300010
62223130440443030
7144442640232354
oct20345320257132
94001450732620
101130302103130
113a63a4085632
12163087a79476
1382782926505
143c9c7ab20d4
151e605da1cc0
hex1072b415e5a

1130302103130 has 96 divisors (see below), whose sum is σ = 3030239092608. Its totient is φ = 292098960000.

The previous prime is 1130302103111. The next prime is 1130302103137. The reversal of 1130302103130 is 313012030311.

It is a happy number.

1130302103130 is a `hidden beast` number, since 1 + 130 + 302 + 103 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1130302103137) 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, 159675 + ... + 1511985.

It is an arithmetic number, because the mean of its divisors is an integer number (31564990548).

Almost surely, 21130302103130 is an apocalyptic number.

1130302103130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130302103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515119546304).

1130302103130 is an abundant number, since it is smaller than the sum of its proper divisors (1899936989478).

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

1130302103130 is a wasteful number, since it uses less digits than its factorization.

1130302103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352612 (or 1352609 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1130302103130 its reverse (313012030311), we get a palindrome (1443314133441).

The spelling of 1130302103130 in words is "one trillion, one hundred thirty billion, three hundred two million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 251 333 370 502 555 666 753 1110 1255 1506 1665 2259 2510 3330 3765 4518 7530 9287 11295 18574 22590 27861 46435 55722 83583 92870 139305 167166 278610 417915 835830 1352311 2704622 4056933 6761555 8113866 12170799 13523110 20284665 24341598 40569330 50035507 60853995 100071014 121707990 150106521 250177535 300213042 339430061 450319563 500355070 678860122 750532605 900639126 1018290183 1501065210 1697150305 2036580366 2251597815 3054870549 3394300610 4503195630 5091450915 6109741098 10182901830 12558912257 15274352745 25117824514 30548705490 37676736771 62794561285 75353473542 113030210313 125589122570 188383683855 226060420626 376767367710 565151051565 1130302103130