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101453535340 = 2251710310192843
BaseRepresentation
bin101111001111100011…
…0100001100001101100
3100200212110201120212221
41132133012201201230
53130234101112330
6114335045205124
710221053551603
oct1363706414154
9320773646787
10101453535340
113a03196a783
12177b47007a4
13974a9b3821
144ca610aa3a
15298bb56b7a
hex179f1a186c

101453535340 has 96 divisors (see below), whose sum is σ = 228078789120. Its totient is φ = 37773044736.

The previous prime is 101453535331. The next prime is 101453535353. The reversal of 101453535340 is 43535354101.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 101453535296 and 101453535305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35683959 + ... + 35686801.

It is an arithmetic number, because the mean of its divisors is an integer number (2375820720).

Almost surely, 2101453535340 is an apocalyptic number.

101453535340 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 101453535340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114039394560).

101453535340 is an abundant number, since it is smaller than the sum of its proper divisors (126625253780).

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

101453535340 is a wasteful number, since it uses less digits than its factorization.

101453535340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 34.

Adding to 101453535340 its reverse (43535354101), we get a palindrome (144988889441).

The spelling of 101453535340 in words is "one hundred one billion, four hundred fifty-three million, five hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 515 1019 1030 1751 2038 2060 2843 3502 4076 5095 5686 7004 8755 10190 11372 14215 17323 17510 20380 28430 34646 35020 48331 56860 69292 86615 96662 104957 173230 193324 209914 241655 292829 346460 419828 483310 524785 585658 966620 1049570 1171316 1464145 1784269 2099140 2897017 2928290 3568538 4978093 5794034 5856580 7137076 8921345 9956186 11588068 14485085 17842690 19912372 24890465 28970170 35685380 49249289 49780930 57940340 98498578 99561860 196997156 246246445 298392751 492492890 596785502 984985780 1193571004 1491963755 2983927510 5072676767 5967855020 10145353534 20290707068 25363383835 50726767670 101453535340