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102002120320 = 275792017447
BaseRepresentation
bin101111011111111001…
…1001101011010000000
3100202021200222121000011
41132333303031122000
53132400020322240
6114505323234304
710240464500662
oct1367763153200
9322250877004
10102002120320
113a2935a07a1
1217928378994
139807549c19
144d18d0c532
1529bedba6ea
hex17bfccd680

102002120320 has 64 divisors (see below), whose sum is σ = 246935635200. Its totient is φ = 40284361728.

The previous prime is 102002120309. The next prime is 102002120329. The reversal of 102002120320 is 23021200201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 102002120320.

It is not an unprimeable number, because it can be changed into a prime (102002120329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 958164 + ... + 1059283.

It is an arithmetic number, because the mean of its divisors is an integer number (3858369300).

Almost surely, 2102002120320 is an apocalyptic number.

102002120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002120320 is an abundant number, since it is smaller than the sum of its proper divisors (144933514880).

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

102002120320 is an equidigital number, since it uses as much as digits as its factorization.

102002120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017545 (or 2017533 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102002120320 its reverse (23021200201), we get a palindrome (125023320521).

The spelling of 102002120320 in words is "one hundred two billion, two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 316 320 395 632 640 790 1264 1580 2528 3160 5056 6320 10112 12640 25280 50560 2017447 4034894 8069788 10087235 16139576 20174470 32279152 40348940 64558304 80697880 129116608 159378313 161395760 258233216 318756626 322791520 637513252 645583040 796891565 1275026504 1291166080 1593783130 2550053008 3187566260 5100106016 6375132520 10200212032 12750265040 20400424064 25500530080 51001060160 102002120320