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102443132010 = 23519619290347
BaseRepresentation
bin101111101101000010…
…1100010010001101010
3100210102102211022022110
41133122011202101222
53134300420211020
6115021155503150
710254431153232
oct1373205422152
9323372738273
10102443132010
113a49a52836a
1217a2bbb7ab6
139877a1a69b
144d5b70acc2
1529e89808e0
hex17da16246a

102443132010 has 64 divisors (see below), whose sum is σ = 259222694400. Its totient is φ = 25838471232.

The previous prime is 102443131993. The next prime is 102443132021. The reversal of 102443132010 is 10231344201.

102443132010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207657 + ... + 498003.

It is an arithmetic number, because the mean of its divisors is an integer number (4050354600).

Almost surely, 2102443132010 is an apocalyptic number.

102443132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102443132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129611347200).

102443132010 is an abundant number, since it is smaller than the sum of its proper divisors (156779562390).

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

102443132010 is a wasteful number, since it uses less digits than its factorization.

102443132010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290995.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102443132010 its reverse (10231344201), we get a palindrome (112674476211).

The spelling of 102443132010 in words is "one hundred two billion, four hundred forty-three million, one hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 619 1238 1857 3095 3714 6190 9285 11761 18570 23522 35283 58805 70566 117610 176415 290347 352830 580694 871041 1451735 1742082 2903470 4355205 5516593 8710410 11033186 16549779 27582965 33099558 55165930 82748895 165497790 179724793 359449586 539174379 898623965 1078348758 1797247930 2695871895 3414771067 5391743790 6829542134 10244313201 17073855335 20488626402 34147710670 51221566005 102443132010