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102070712720 = 24559181111941
BaseRepresentation
bin101111100001111100…
…0110111100110010000
3100202110111001110002102
41133003320313212100
53133020100301340
6114520213335532
710242256512554
oct1370370674620
9322414043072
10102070712720
113a319290229
12179473375a8
139818814b42
144d24085864
1529c5e19215
hex17c3e37990

102070712720 has 80 divisors (see below), whose sum is σ = 241490168640. Its totient is φ = 40110758400.

The previous prime is 102070712719. The next prime is 102070712743. The reversal of 102070712720 is 27217070201.

It is a tau number, because it is divible by the number of its divisors (80).

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, 8541950 + ... + 8553890.

It is an arithmetic number, because the mean of its divisors is an integer number (3018627108).

Almost surely, 2102070712720 is an apocalyptic number.

102070712720 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 102070712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120745084320).

102070712720 is an abundant number, since it is smaller than the sum of its proper divisors (139419455920).

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

102070712720 is a wasteful number, since it uses less digits than its factorization.

102070712720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13824 (or 13818 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 29.

Adding to 102070712720 its reverse (27217070201), we get a palindrome (129287782921).

The spelling of 102070712720 in words is "one hundred two billion, seventy million, seven hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 1811 2360 3622 4720 7244 9055 11941 14488 18110 23882 28976 36220 47764 59705 72440 95528 106849 119410 144880 191056 213698 238820 427396 477640 534245 704519 854792 955280 1068490 1409038 1709584 2136980 2818076 3522595 4273960 5636152 7045190 8547920 11272304 14090380 21625151 28180760 43250302 56361520 86500604 108125755 173001208 216251510 346002416 432503020 865006040 1275883909 1730012080 2551767818 5103535636 6379419545 10207071272 12758839090 20414142544 25517678180 51035356360 102070712720