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102211011211111 = 11179710155790849
BaseRepresentation
bin10111001111010111011011…
…000000111110111101100111
3111101220021111002222112201221
4113033113123000332331213
5101344111122332223421
61001215031302201211
730346334066302525
oct2717273300767547
9441807432875657
10102211011211111
112a6274a0214030
12b569218a23207
1345055c304a9ca
141b35079d31315
15bc3b22777841
hex5cf5db03ef67

102211011211111 has 32 divisors (see below), whose sum is σ = 120460032705600. Its totient is φ = 85694742528000.

The previous prime is 102211011211109. The next prime is 102211011211201. The reversal of 102211011211111 is 111112110112201.

It is a cyclic number.

It is not a de Polignac number, because 102211011211111 - 21 = 102211011211109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211011211411) 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, 26063386 + ... + 29727463.

It is an arithmetic number, because the mean of its divisors is an integer number (3764376022050).

Almost surely, 2102211011211111 is an apocalyptic number.

102211011211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102211011211111 is a deficient number, since it is larger than the sum of its proper divisors (18249021494489).

102211011211111 is a wasteful number, since it uses less digits than its factorization.

102211011211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55791075.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 102211011211111 its reverse (111112110112201), we get a palindrome (213323121323312).

It can be divided in two parts, 1022110 and 11211111, that added together give a palindrome (12233221).

The spelling of 102211011211111 in words is "one hundred two trillion, two hundred eleven billion, eleven million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 11 17 97 101 187 1067 1111 1649 1717 9797 18139 18887 107767 166549 1832039 55790849 613699339 948444433 5411712353 5634875749 10432888763 59528835883 61983633239 91999110001 95792887733 546582947653 1011990210011 1053721765063 6012412424183 9291910110101 102211011211111