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103111134402300 = 223522329515298023
BaseRepresentation
bin10111011100011101101110…
…100010011101011011111100
3111112002022212020120101111220
4113130131232202131123330
5102003333100401333200
61003144333510113340
730501351014215203
oct2734355642353374
9445068766511456
10103111134402300
112a9442062a5222
12b69376634b850
13456c4521aa3bb
141b6686982423a
15bdc2559da4a0
hex5dc76e89d6fc

103111134402300 has 144 divisors (see below), whose sum is σ = 322040653079040. Its totient is φ = 25393886524160.

The previous prime is 103111134402239. The next prime is 103111134402337. The reversal of 103111134402300 is 3204431111301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257448912 + ... + 257849111.

It is an arithmetic number, because the mean of its divisors is an integer number (2236393424160).

Almost surely, 2103111134402300 is an apocalyptic number.

103111134402300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103111134402300 is an abundant number, since it is smaller than the sum of its proper divisors (218929518676740).

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

103111134402300 is a wasteful number, since it uses less digits than its factorization.

103111134402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515298092 (or 515298085 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 103111134402300 its reverse (3204431111301), we get a palindrome (106315565513601).

The spelling of 103111134402300 in words is "one hundred three trillion, one hundred eleven billion, one hundred thirty-four million, four hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 29 30 46 50 58 60 69 75 87 92 100 115 116 138 145 150 174 230 276 290 300 345 348 435 460 575 580 667 690 725 870 1150 1334 1380 1450 1725 1740 2001 2175 2300 2668 2900 3335 3450 4002 4350 6670 6900 8004 8700 10005 13340 16675 20010 33350 40020 50025 66700 100050 200100 515298023 1030596046 1545894069 2061192092 2576490115 3091788138 5152980230 6183576276 7729470345 10305960460 11851854529 12882450575 14943642667 15458940690 23703709058 25764901150 29887285334 30917881380 35555563587 38647351725 44830928001 47407418116 51529802300 59259272645 59774570668 71111127174 74718213335 77294703450 89661856002 118518545290 142222254348 149436426670 154589406900 177777817935 179323712004 224154640005 237037090580 296296363225 298872853340 343703781341 355555635870 373591066675 448309280010 592592726450 687407562682 711111271740 747182133350 888889089675 896618560020 1031111344023 1120773200025 1185185452900 1374815125364 1494364266700 1718518906705 1777778179350 2062222688046 2241546400050 3437037813410 3555556358700 4124445376092 4483092800100 5155556720115 6874075626820 8592594533525 10311113440230 17185189067050 20622226880460 25777783600575 34370378134100 51555567201150 103111134402300