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101040246640 = 24517461161159
BaseRepresentation
bin101111000011001110…
…1111100111101110000
3100122210200001100101001
41132012131330331300
53123412300343030
6114230043051344
710204604632354
oct1360635747560
9318720040331
10101040246640
113993a648873
12176ba210b54
1396b319b7b8
144c67287464
15296571acca
hex178677cf70

101040246640 has 80 divisors (see below), whose sum is σ = 249278420160. Its totient is φ = 37955932160.

The previous prime is 101040246569. The next prime is 101040246647. The reversal of 101040246640 is 46642040101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 101040246599 and 101040246608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101040246647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546381 + ... + 707539.

It is an arithmetic number, because the mean of its divisors is an integer number (3115980252).

Almost surely, 2101040246640 is an apocalyptic number.

101040246640 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 101040246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124639210080).

101040246640 is an abundant number, since it is smaller than the sum of its proper divisors (148238173520).

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

101040246640 is a wasteful number, since it uses less digits than its factorization.

101040246640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161650 (or 161644 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 101040246640 its reverse (46642040101), we get a palindrome (147682286741).

The spelling of 101040246640 in words is "one hundred one billion, forty million, two hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 461 680 922 1360 1844 2305 3688 4610 7376 7837 9220 15674 18440 31348 36880 39185 62696 78370 125392 156740 161159 313480 322318 626960 644636 805795 1289272 1611590 2578544 2739703 3223180 5479406 6446360 10958812 12892720 13698515 21917624 27397030 43835248 54794060 74294299 109588120 148588598 219176240 297177196 371471495 594354392 742942990 1188708784 1263003083 1485885980 2526006166 2971771960 5052012332 5943543920 6315015415 10104024664 12630030830 20208049328 25260061660 50520123320 101040246640