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10100424320 = 275719118661
BaseRepresentation
bin10010110100000100…
…00011111010000000
3222001220201201101122
421122002003322000
5131141202034240
64350131051412
7505204122140
oct113202037200
928056651348
1010100424320
114313476318
121b5a740b68
13c4c74c14c
146bb624920
153e1ae84b5
hex25a083e80

10100424320 has 128 divisors (see below), whose sum is σ = 29048457600. Its totient is φ = 3280711680.

The previous prime is 10100424307. The next prime is 10100424337. The reversal of 10100424320 is 2342400101.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25790 + ... + 144450.

It is an arithmetic number, because the mean of its divisors is an integer number (226941075).

Almost surely, 210100424320 is an apocalyptic number.

10100424320 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 10100424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14524228800).

10100424320 is an abundant number, since it is smaller than the sum of its proper divisors (18948033280).

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

10100424320 is a wasteful number, since it uses less digits than its factorization.

10100424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118706 (or 118694 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10100424320 its reverse (2342400101), we get a palindrome (12442824421).

The spelling of 10100424320 in words is "ten billion, one hundred million, four hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 640 665 760 896 1064 1120 1216 1330 1520 2128 2240 2432 2660 3040 4256 4480 5320 6080 8512 10640 12160 17024 21280 42560 85120 118661 237322 474644 593305 830627 949288 1186610 1661254 1898576 2254559 2373220 3322508 3797152 4153135 4509118 4746440 6645016 7594304 8306270 9018236 9492880 11272795 13290032 15188608 15781913 16612540 18036472 18985760 22545590 26580064 31563826 33225080 36072944 37971520 45091180 53160128 63127652 66450160 72145888 75943040 78909565 90182360 106320256 126255304 132900320 144291776 157819130 180364720 252510608 265800640 288583552 315638260 360729440 505021216 531601280 631276520 721458880 1010042432 1262553040 1442917760 2020084864 2525106080 5050212160 10100424320