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102022100103 = 37111014372813
BaseRepresentation
bin101111100000011111…
…1011011010010000111
3100202100002120200010010
41133000333123102013
53132420124200403
6114511315401303
710241126354040
oct1370077332207
9322302520103
10102022100103
113a2a38a7910
1217932bb3233
13980b724091
144d1b82d8c7
1529c1a15603
hex17c0fdb487

102022100103 has 32 divisors (see below), whose sum is σ = 171274378752. Its totient is φ = 52473744000.

The previous prime is 102022100101. The next prime is 102022100113. The reversal of 102022100103 is 301001220201.

It is not a de Polignac number, because 102022100103 - 21 = 102022100101 is a prime.

It is a super-3 number, since 3×1020221001033 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022100101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2163076 + ... + 2209737.

It is an arithmetic number, because the mean of its divisors is an integer number (5352324336).

Almost surely, 2102022100103 is an apocalyptic number.

102022100103 is a deficient number, since it is larger than the sum of its proper divisors (69252278649).

102022100103 is a wasteful number, since it uses less digits than its factorization.

102022100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372935.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102022100103 its reverse (301001220201), we get a palindrome (403023320304).

The spelling of 102022100103 in words is "one hundred two billion, twenty-two million, one hundred thousand, one hundred three".

Divisors: 1 3 7 11 21 33 77 101 231 303 707 1111 2121 3333 7777 23331 4372813 13118439 30609691 48100943 91829073 144302829 336706601 441654113 1010119803 1324962339 3091578791 4858195243 9274736373 14574585729 34007366701 102022100103