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102220011003 = 311199106914561
BaseRepresentation
bin101111100110011001…
…0011001010111111011
3100202211212222120211110
41133030302121113323
53133321310323003
6114543105331403
710246051520535
oct1371462312773
9322755876743
10102220011003
113a395593240
1217989336b63
139840729516
144d39c2a855
1529d40aaa03
hex17ccc995fb

102220011003 has 32 divisors (see below), whose sum is σ = 149580864000. Its totient is φ = 61578316800.

The previous prime is 102220010999. The next prime is 102220011007. The reversal of 102220011003 is 300110022201.

It is an interprime number because it is at equal distance from previous prime (102220010999) and next prime (102220011007).

It is not a de Polignac number, because 102220011003 - 22 = 102220010999 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102220011003.

It is not an unprimeable number, because it can be changed into a prime (102220011007) 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 31 ways as a sum of consecutive naturals, for example, 7012843 + ... + 7027403.

It is an arithmetic number, because the mean of its divisors is an integer number (4674402000).

Almost surely, 2102220011003 is an apocalyptic number.

102220011003 is a deficient number, since it is larger than the sum of its proper divisors (47360852997).

102220011003 is a wasteful number, since it uses less digits than its factorization.

102220011003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15843.

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

Adding to 102220011003 its reverse (300110022201), we get a palindrome (402330033204).

It can be divided in two parts, 1022200 and 11003, that added together give a triangular number (1033203 = T1437).

The spelling of 102220011003 in words is "one hundred two billion, two hundred twenty million, eleven thousand, three".

Divisors: 1 3 11 33 199 597 1069 2189 3207 6567 11759 14561 35277 43683 160171 212731 480513 638193 2340041 2897639 7020123 8692917 15565709 31874029 46697127 95622087 171222799 513668397 3097576091 9292728273 34073337001 102220011003