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103530045024 = 253571902007
BaseRepresentation
bin110000001101011011…
…1110001111001100000
3100220020012001012200000
41200122313301321200
53144012142420044
6115321104100000
710323366601650
oct1403267617140
9326205035600
10103530045024
113a9a801418a
1218094004600
1399bbc68693
145021c00360
152a5e0cdd69
hex181adf1e60

103530045024 has 144 divisors (see below), whose sum is σ = 348934779648. Its totient is φ = 29579997312.

The previous prime is 103530045013. The next prime is 103530045029. The reversal of 103530045024 is 420540035301.

103530045024 is a `hidden beast` number, since 103 + 53 + 0 + 0 + 4 + 502 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103530045029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896572 + ... + 1005435.

It is an arithmetic number, because the mean of its divisors is an integer number (2423158192).

Almost surely, 2103530045024 is an apocalyptic number.

103530045024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103530045024 is an abundant number, since it is smaller than the sum of its proper divisors (245404734624).

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

103530045024 is an equidigital number, since it uses as much as digits as its factorization.

103530045024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902039 (or 1902019 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 103530045024 in words is "one hundred three billion, five hundred thirty million, forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 1902007 3804014 5706021 7608028 11412042 13314049 15216056 17118063 22824084 26628098 30432112 34236126 39942147 45648168 51354189 53256196 60864224 68472252 79884294 91296336 102708378 106512392 119826441 136944504 154062567 159768588 182592672 205416756 213024784 239652882 273889008 308125134 319537176 359479323 410833512 426049568 462187701 479305764 547778016 616250268 639074352 718958646 821667024 924375402 958611528 1078437969 1232500536 1278148704 1437917292 1643334048 1848750804 1917223056 2156875938 2465001072 2875834584 3235313907 3697501608 3834446112 4313751876 4930002144 5751669168 6470627814 7395003216 8627503752 11503338336 12941255628 14790006432 17255007504 25882511256 34510015008 51765022512 103530045024