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102041130401 = 732329577773
BaseRepresentation
bin101111100001000100…
…0000001010110100001
3100202101102101111202222
41133002020001112201
53132440012133101
6114513235320425
710241450204000
oct1370210012641
9322342344688
10102041130401
113a303615631
1217939450115
139812658002
144d20184c37
1529c352401b
hex17c22015a1

102041130401 has 64 divisors (see below), whose sum is σ = 128843136000. Its totient is φ = 80531877888.

The previous prime is 102041130379. The next prime is 102041130469. The reversal of 102041130401 is 104031140201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-102041130401 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102041130401.

It is not an unprimeable number, because it can be changed into a prime (102041190401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132006251 + ... + 132007023.

It is an arithmetic number, because the mean of its divisors is an integer number (2013174000).

Almost surely, 2102041130401 is an apocalyptic number.

It is an amenable number.

102041130401 is a deficient number, since it is larger than the sum of its proper divisors (26802005599).

102041130401 is an equidigital number, since it uses as much as digits as its factorization.

102041130401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102041130401 its reverse (104031140201), we get a palindrome (206072270602).

The spelling of 102041130401 in words is "one hundred two billion, forty-one million, one hundred thirty thousand, four hundred one".

Divisors: 1 7 23 29 49 161 203 343 577 667 773 1127 1421 4039 4669 5411 7889 9947 13271 16733 17779 22417 28273 32683 37877 92897 117131 124453 156919 197911 228781 265139 384859 446021 515591 650279 819917 871171 1098433 2694013 3122147 3609137 4551953 5739419 6098197 7689031 10258483 12934609 18858091 21855029 25263959 71809381 90542263 132006637 152985203 176847713 297496007 502665667 633795841 2082472049 3518659669 4436570887 14577304343 102041130401