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4103103130400 = 255237211656959
BaseRepresentation
bin111011101101010100000…
…000010010101100100000
3112112020211022102101211102
4323231110000102230200
51014211123400133100
612420534535533532
7602303502105041
oct73552400225440
915466738371742
104103103130400
11134213082754a
12563260b2a2a8
13239bc848acc1
1410283c5708c8
1571ae785acd5
hex3bb54012b20

4103103130400 has 144 divisors (see below), whose sum is σ = 10336193441280. Its totient is φ = 1589312793600.

The previous prime is 4103103130349. The next prime is 4103103130499. The reversal of 4103103130400 is 40313013014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5917121 + ... + 6574079.

It is an arithmetic number, because the mean of its divisors is an integer number (71779121120).

Almost surely, 24103103130400 is an apocalyptic number.

4103103130400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4103103130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168096720640).

4103103130400 is an abundant number, since it is smaller than the sum of its proper divisors (6233090310880).

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

4103103130400 is a wasteful number, since it uses less digits than its factorization.

4103103130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657227 (or 657214 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 4103103130400 its reverse (40313013014), we get a palindrome (4143416143414).

The spelling of 4103103130400 in words is "four trillion, one hundred three billion, one hundred three million, one hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 148 160 185 200 211 296 370 400 422 592 740 800 844 925 1055 1184 1480 1688 1850 2110 2960 3376 3700 4220 5275 5920 6752 7400 7807 8440 10550 14800 15614 16880 21100 29600 31228 33760 39035 42200 62456 78070 84400 124912 156140 168800 195175 249824 312280 390350 624560 656959 780700 1249120 1313918 1561400 2627836 3122800 3284795 5255672 6245600 6569590 10511344 13139180 16423975 21022688 24307483 26278360 32847950 48614966 52556720 65695900 97229932 105113440 121537415 131391800 138618349 194459864 243074830 262783600 277236698 388919728 486149660 525567200 554473396 607687075 693091745 777839456 972299320 1108946792 1215374150 1386183490 1944598640 2217893584 2430748300 2772366980 3465458725 3889197280 4435787168 4861496600 5128878913 5544733960 6930917450 9722993200 10257757826 11089467920 13861834900 19445986400 20515515652 22178935840 25644394565 27723669800 41031031304 51288789130 55447339600 82062062608 102577578260 110894679200 128221972825 164124125216 205155156520 256443945650 410310313040 512887891300 820620626080 1025775782600 2051551565200 4103103130400