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1030188348378 = 233726177104113
BaseRepresentation
bin11101111110111000000…
…00101011001111011010
310122111002121010102021000
432333130000223033122
5113334311204122003
62105132331325430
7134300012323350
oct16773400531732
93574077112230
101030188348378
1136799a513942
121477a7bb0876
13761b9698687
1437c0b8bd7d0
151bbe6b971a3
hexefdc02b3da

1030188348378 has 64 divisors (see below), whose sum is σ = 2616476440320. Its totient is φ = 294325456896.

The previous prime is 1030188348373. The next prime is 1030188348383. The reversal of 1030188348378 is 8738438810301.

1030188348378 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 18 + 83 + 483 + 78 = 666.

It is an interprime number because it is at equal distance from previous prime (1030188348373) and next prime (1030188348383).

It is a super-2 number, since 2×10301883483782 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1030188348373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9842850 + ... + 9946962.

It is an arithmetic number, because the mean of its divisors is an integer number (40882444380).

Almost surely, 21030188348378 is an apocalyptic number.

1030188348378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1030188348378 is an abundant number, since it is smaller than the sum of its proper divisors (1586288091942).

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

1030188348378 is a wasteful number, since it uses less digits than its factorization.

1030188348378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130308 (or 130302 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1030188348378 in words is "one trillion, thirty billion, one hundred eighty-eight million, three hundred forty-eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 26177 52354 78531 104113 157062 183239 208226 235593 312339 366478 471186 549717 624678 706779 728791 937017 1099434 1413558 1457582 1649151 1874034 2186373 2811051 3298302 4372746 4947453 5622102 6559119 9894906 13118238 19677357 39354714 2725366001 5450732002 8176098003 16352196006 19077562007 24528294009 38155124014 49056588018 57232686021 73584882027 114465372042 147169764054 171698058063 343396116126 515094174189 1030188348378