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10324105452 = 2234317100519
BaseRepresentation
bin10011001110101110…
…10101100011101100
3222122111121220020000
421213113111203230
5132120432333302
64424241224300
7513561306543
oct114727254354
928574556200
1010324105452
114418763261
122001632090
13c86ba824b
146dd20d15a
1540657e31c
hex2675d58ec

10324105452 has 60 divisors (see below), whose sum is σ = 27074659920. Its totient is φ = 3430478304.

The previous prime is 10324105439. The next prime is 10324105483. The reversal of 10324105452 is 25450142301.

10324105452 is a `hidden beast` number, since 103 + 2 + 4 + 10 + 545 + 2 = 666.

It is a super-2 number, since 2×103241054522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 52449 + ... + 152967.

It is an arithmetic number, because the mean of its divisors is an integer number (451244332).

Almost surely, 210324105452 is an apocalyptic number.

10324105452 is a gapful number since it is divisible by the number (12) 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 10324105452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13537329960).

10324105452 is an abundant number, since it is smaller than the sum of its proper divisors (16750554468).

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

10324105452 is a wasteful number, since it uses less digits than its factorization.

10324105452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100852 (or 100841 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10324105452 its reverse (25450142301), we get a palindrome (35774247753).

The spelling of 10324105452 in words is "ten billion, three hundred twenty-four million, one hundred five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 317 324 634 951 1268 1902 2853 3804 5706 8559 11412 17118 25677 34236 51354 100519 102708 201038 301557 402076 603114 904671 1206228 1809342 2714013 3618684 5428026 8142039 10856052 16284078 31864523 32568156 63729046 95593569 127458092 191187138 286780707 382374276 573561414 860342121 1147122828 1720684242 2581026363 3441368484 5162052726 10324105452