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100123023240 = 23335607152729
BaseRepresentation
bin101110100111111001…
…1000001011110001000
3100120102202010120102000
41131033303001132020
53120022443220430
6113555035511000
710143066440562
oct1351763013610
9316382116360
10100123023240
11395099222a9
12174a2bb8460
139598154766
144bbb526332
15290ee3ae60
hex174fcc1788

100123023240 has 128 divisors (see below), whose sum is σ = 334295424000. Its totient is φ = 26655312384.

The previous prime is 100123023211. The next prime is 100123023263. The reversal of 100123023240 is 42320321001.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 579196 + ... + 731924.

It is an arithmetic number, because the mean of its divisors is an integer number (2611683000).

Almost surely, 2100123023240 is an apocalyptic number.

100123023240 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 100123023240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167147712000).

100123023240 is an abundant number, since it is smaller than the sum of its proper divisors (234172400760).

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

100123023240 is a wasteful number, since it uses less digits than its factorization.

100123023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153356 (or 153346 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100123023240 its reverse (42320321001), we get a palindrome (142443344241).

The spelling of 100123023240 in words is "one hundred billion, one hundred twenty-three million, twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 607 1080 1214 1821 2428 3035 3642 4856 5463 6070 7284 9105 10926 12140 14568 16389 18210 21852 24280 27315 32778 36420 43704 54630 65556 72840 81945 109260 131112 152729 163890 218520 305458 327780 458187 610916 655560 763645 916374 1221832 1374561 1527290 1832748 2290935 2749122 3054580 3665496 4123683 4581870 5498244 6109160 6872805 8247366 9163740 10996488 13745610 16494732 18327480 20618415 27491220 32989464 41236830 54982440 82473660 92706503 164947320 185413006 278119509 370826012 463532515 556239018 741652024 834358527 927065030 1112478036 1390597545 1668717054 1854130060 2224956072 2503075581 2781195090 3337434108 3708260120 4171792635 5006151162 5562390180 6674868216 8343585270 10012302324 11124780360 12515377905 16687170540 20024604648 25030755810 33374341080 50061511620 100123023240