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102000201984 = 283244270921
BaseRepresentation
bin101111011111110101…
…1111001000100000000
3100202021120101010112200
41132333223321010000
53132344022430414
6114505214153200
710240442261112
oct1367753710400
9322246333480
10102000201984
113a29250049a
12179277b2800
139807027a05
144d1896d3b2
1529beb3c109
hex17bfaf9100

102000201984 has 54 divisors (see below), whose sum is σ = 294091734846. Its totient is φ = 34000066560.

The previous prime is 102000201967. The next prime is 102000202001. The reversal of 102000201984 is 489102000201.

It is an interprime number because it is at equal distance from previous prime (102000201967) and next prime (102000202001).

It can be written as a sum of positive squares in only one way, i.e., 77212848384 + 24787353600 = 277872^2 + 157440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22133157 + ... + 22137764.

Almost surely, 2102000201984 is an apocalyptic number.

It is an amenable number.

102000201984 is an abundant number, since it is smaller than the sum of its proper divisors (192091532862).

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

102000201984 is an equidigital number, since it uses as much as digits as its factorization.

102000201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44270943 (or 44270926 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 102000201984 in words is "one hundred two billion, two hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 44270921 88541842 132812763 177083684 265625526 354167368 398438289 531251052 708334736 796876578 1062502104 1416669472 1593753156 2125004208 2833338944 3187506312 4250008416 5666677888 6375012624 8500016832 11333355776 12750025248 17000033664 25500050496 34000067328 51000100992 102000201984