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103225413242511 = 32731149354730163
BaseRepresentation
bin10111011110001000001010…
…000101101000111010001111
3111112111020211112100222012100
4113132020022011220322033
5102012221121242230021
61003313033350210143
730512534653302360
oct2736101205507217
9445436745328170
10103225413242511
112a98871977030a
12b6b193a053953
13457a164cc8501
141b6c1cadc3b67
15be01e3587626
hex5de20a168e8f

103225413242511 has 48 divisors (see below), whose sum is σ = 177081297868800. Its totient is φ = 56700069094080.

The previous prime is 103225413242431. The next prime is 103225413242513. The reversal of 103225413242511 is 115242314522301.

103225413242511 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 5 + 4 + 132 + 4 + 2 + 511 = 666.

It is not a de Polignac number, because 103225413242511 - 210 = 103225413241487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103225413242513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177074085 + ... + 177656078.

It is an arithmetic number, because the mean of its divisors is an integer number (3689193705600).

Almost surely, 2103225413242511 is an apocalyptic number.

103225413242511 is a deficient number, since it is larger than the sum of its proper divisors (73855884626289).

103225413242511 is a wasteful number, since it uses less digits than its factorization.

103225413242511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354730356 (or 354730353 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 103225413242511 its reverse (115242314522301), we get a palindrome (218467727764812).

The spelling of 103225413242511 in words is "one hundred three trillion, two hundred twenty-five billion, four hundred thirteen million, two hundred forty-two thousand, five hundred eleven".

Divisors: 1 3 7 9 21 31 63 93 149 217 279 447 651 1043 1341 1953 3129 4619 9387 13857 32333 41571 96999 290997 354730163 1064190489 2483111141 3192571467 7449333423 10996635053 22348000269 32989905159 52854794287 76976445371 98969715477 158564382861 230929336113 369983560009 475693148583 692788008339 1109950680027 1638498622897 3329852040081 4915495868691 11469490360279 14746487606073 34408471080837 103225413242511