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102022110003 = 31119211375787
BaseRepresentation
bin101111100000011111…
…1011101101100110011
3100202100002121011200210
41133000333131230303
53132420130010003
6114511315515203
710241126424642
oct1370077355463
9322302534623
10102022110003
113a2a39042a0
1217932bb8b03
13980b728738
144d1b833359
1529c1a18503
hex17c0fddb33

102022110003 has 48 divisors (see below), whose sum is σ = 158005247616. Its totient is φ = 58058138880.

The previous prime is 102022109993. The next prime is 102022110011. The reversal of 102022110003 is 300011220201.

It is not a de Polignac number, because 102022110003 - 28 = 102022109747 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102022110053) 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, 1308276 + ... + 1384062.

It is an arithmetic number, because the mean of its divisors is an integer number (3291775992).

Almost surely, 2102022110003 is an apocalyptic number.

102022110003 is a deficient number, since it is larger than the sum of its proper divisors (55983137613).

102022110003 is a wasteful number, since it uses less digits than its factorization.

102022110003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75952 (or 75933 counting only the distinct ones).

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

Adding to 102022110003 its reverse (300011220201), we get a palindrome (402033330204).

The spelling of 102022110003 in words is "one hundred two billion, twenty-two million, one hundred ten thousand, three".

Divisors: 1 3 11 19 33 57 113 209 339 361 627 1083 1243 2147 3729 3971 6441 11913 23617 40793 70851 75787 122379 227361 448723 833657 1346169 1439953 2500971 4319859 8563931 15839483 25691793 27359107 47518449 82077321 94203241 162714689 282609723 300950177 488144067 902850531 1789861579 3091579091 5369584737 9274737273 34007370001 102022110003