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100224808328 = 231924321372
BaseRepresentation
bin101110101010111011…
…1010011010110001000
3100120200211122210022002
41131111313103112020
53120230022331303
6114013113250132
710145443546241
oct1352567232610
9316624583262
10100224808328
1139561322a07
1217511103948
1395b3271918
144bcac5dcc8
152918d44788
hex1755dd3588

100224808328 has 108 divisors (see below), whose sum is σ = 204545284965. Its totient is φ = 46032368256.

The previous prime is 100224808297. The next prime is 100224808339. The reversal of 100224808328 is 823808422001.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 99453191044 + 771617284 = 315362^2 + 27778^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=223858.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100224808291 and 100224808300.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 731567876 + ... + 731568012.

Almost surely, 2100224808328 is an apocalyptic number.

It is an amenable number.

100224808328 is an abundant number, since it is smaller than the sum of its proper divisors (104320476637).

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

100224808328 is an equidigital number, since it uses as much as digits as its factorization.

100224808328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The spelling of 100224808328 in words is "one hundred billion, two hundred twenty-four million, eight hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 19 38 43 76 86 137 152 172 274 344 361 548 722 817 1096 1444 1634 1849 2603 2888 3268 3698 5206 5891 6536 7396 10412 11782 14792 15523 18769 20824 23564 31046 35131 37538 47128 49457 62092 70262 75076 98914 111929 124184 140524 150152 197828 223858 253313 281048 356611 395656 447716 506626 667489 713222 807067 895432 1013252 1334978 1426444 1614134 2026504 2126651 2669956 2852888 3228268 4253302 4812947 5339912 6456536 6775609 8506604 9625894 13551218 15334273 17013208 19251788 27102436 30668546 34703881 38503576 54204872 61337092 69407762 91445993 122674184 138815524 182891986 277631048 291351187 365783972 582702374 659373739 731567944 1165404748 1318747478 2330809496 2637494956 5274989912 12528101041 25056202082 50112404164 100224808328