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10104645301050 = 2352374603395537
BaseRepresentation
bin1001001100001010101111…
…0010110011001100111010
31022202222212002211100011010
42103002223302303030322
52311023303144113200
633254002053014350
72062015346622456
oct223025362631472
938688762740133
1010104645301050
1132463a09325a3
1211724213243b6
13583b301868c1
1426d0d30bd666
15127ca1dbd150
hex930abcb333a

10104645301050 has 96 divisors (see below), whose sum is σ = 25742461073472. Its totient is φ = 2621169607680.

The previous prime is 10104645301019. The next prime is 10104645301057. The reversal of 10104645301050 is 5010354640101.

It is a happy number.

10104645301050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101046453010502 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10104645300999 and 10104645301017.

It is not an unprimeable number, because it can be changed into a prime (10104645301057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25348882 + ... + 25744418.

It is an arithmetic number, because the mean of its divisors is an integer number (268150636182).

Almost surely, 210104645301050 is an apocalyptic number.

10104645301050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10104645301050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871230536736).

10104645301050 is an abundant number, since it is smaller than the sum of its proper divisors (15637815772422).

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

10104645301050 is a wasteful number, since it uses less digits than its factorization.

10104645301050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400192 (or 400187 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 10104645301050 its reverse (5010354640101), we get a palindrome (15114999941151).

The spelling of 10104645301050 in words is "ten trillion, one hundred four billion, six hundred forty-five million, three hundred one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 37 50 74 75 111 150 185 222 370 555 925 1110 1850 2775 4603 5550 9206 13809 23015 27618 46030 69045 115075 138090 170311 230150 340622 345225 395537 510933 690450 791074 851555 1021866 1186611 1703110 1977685 2373222 2554665 3955370 4257775 5109330 5933055 8515550 9888425 11866110 12773325 14634869 19776850 25546650 29269738 29665275 43904607 59330550 73174345 87809214 146348690 219523035 365871725 439046070 731743450 1097615175 1820656811 2195230350 3641313622 5461970433 9103284055 10923940866 18206568110 27309852165 45516420275 54619704330 67364302007 91032840550 134728604014 136549260825 202092906021 273098521650 336821510035 404185812042 673643020070 1010464530105 1684107550175 2020929060210 3368215100350 5052322650525 10104645301050