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13103020031000 = 23532112294311
BaseRepresentation
bin1011111010101100100011…
…0110101011110000011000
31201101122011222212100020012
42332223020312223300120
53204134441111443000
643511235545221052
72521443023411114
oct276531066536030
951348158770205
1013103020031000
1141a1a61237889
121577552a91788
137407c0073943
143342921c4744
1517ac8dac0735
hexbeac8dabc18

13103020031000 has 96 divisors (see below), whose sum is σ = 30807173348640. Its totient is φ = 5216350440000.

The previous prime is 13103020030897. The next prime is 13103020031099. The reversal of 13103020031000 is 13002030131.

It is a super-2 number, since 2×131030200310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 44373845 + ... + 44668155.

It is an arithmetic number, because the mean of its divisors is an integer number (320908055715).

Almost surely, 213103020031000 is an apocalyptic number.

13103020031000 is a gapful number since it is divisible by the number (10) 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 13103020031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15403586674320).

13103020031000 is an abundant number, since it is smaller than the sum of its proper divisors (17704153317640).

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

13103020031000 is an equidigital number, since it uses as much as digits as its factorization.

13103020031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294754 (or 294529 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13103020031000 its reverse (13002030131), we get a palindrome (13116022061131).

The spelling of 13103020031000 in words is "thirteen trillion, one hundred three billion, twenty million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 211 250 422 500 844 1000 1055 1688 2110 4220 5275 8440 10550 21100 26375 42200 44521 52750 89042 105500 178084 211000 222605 294311 356168 445210 588622 890420 1113025 1177244 1471555 1780840 2226050 2354488 2943110 4452100 5565125 5886220 7357775 8904200 11130250 11772440 14715550 22260500 29431100 36788875 44521000 58862200 62099621 73577750 124199242 147155500 248398484 294311000 310498105 496796968 620996210 1241992420 1552490525 2483984840 3104981050 6209962100 7762452625 12419924200 13103020031 15524905250 26206040062 31049810500 52412080124 62099621000 65515100155 104824160248 131030200310 262060400620 327575500775 524120801240 655151001550 1310302003100 1637877503875 2620604006200 3275755007750 6551510015500 13103020031000