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103145026609156 = 227431233432
BaseRepresentation
bin10111011100111101010010…
…101010111110000000000100
3111112012120100020201212221111
4113130331102222332000010
5102004412003302443111
61003212100541454404
730503660625220000
oct2734752252760004
9445176306655844
10103145026609156
112a957618598934
12b69a244871404
1345726c3a5217c
141b68362b63700
15bdd08b195a21
hex5dcf52abe004

103145026609156 has 135 divisors (see below), whose sum is σ = 217652210140743. Its totient is φ = 42766246691280.

The previous prime is 103145026609111. The next prime is 103145026609241. The reversal of 103145026609156 is 651906620541301.

The square root of 103145026609156 is 10156034.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 30854029621 + ... + 30854032963.

Almost surely, 2103145026609156 is an apocalyptic number.

103145026609156 is the 10156034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103145026609156

103145026609156 is an abundant number, since it is smaller than the sum of its proper divisors (114507183531587).

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

103145026609156 is an frugal number, since it uses more digits than its factorization.

103145026609156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6780 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

103145026609156 divided by its sum of digits (49) gives a square (2105000543044 = 14508622).

The spelling of 103145026609156 in words is "one hundred three trillion, one hundred forty-five billion, twenty-six million, six hundred nine thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 343 434 686 868 961 1372 1519 1922 2401 3038 3343 3844 4802 6076 6686 6727 9604 10633 13372 13454 21266 23401 26908 42532 46802 47089 74431 93604 94178 103633 148862 163807 188356 207266 297724 327614 329623 414532 655228 659246 725431 1146649 1318492 1450862 2293298 2307361 2901724 3212623 4586596 4614722 5078017 6425246 8026543 9229444 10156034 11175649 12850492 16053086 20312068 22351298 22488361 32106172 35546119 44702596 44976722 71092238 78229543 89953444 142184476 156459086 157418527 248822833 312918172 314837054 346445119 497645666 547606801 629674108 692890238 995291332 1095213602 1101929689 1385780476 2190427204 2203859378 2425115833 3833247607 4407718756 4850231666 7666495214 7713507823 9700463332 10739798689 15332990428 15427015646 16975810831 21479597378 26832733249 30854031292 33951621662 42959194756 53665466498 67903243324 75178590823 107330932996 118830675817 150357181646 237661351634 300714363292 475322703268 526250135761 831814730719 1052500271522 1663629461438 2105000543044 3327258922876 3683750950327 7367501900654 14735003801308 25786256652289 51572513304578 103145026609156