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1111244421111 = 31133710174471
BaseRepresentation
bin10000001010111011010…
…101000011011111110111
310221020022112102112200220
4100022323111003133313
5121201312032433421
62210255412305423
7143166446505246
oct20127325033767
93836275375626
101111244421111
11399304562000
1215b449612273
1380a36540ba6
143badaa0095d
151dd8cc213c6
hex102bb5437f7

1111244421111 has 64 divisors (see below), whose sum is σ = 1690354732032. Its totient is φ = 648782640000.

The previous prime is 1111244421047. The next prime is 1111244421149.

1111244421111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1111244421111 - 26 = 1111244421047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111244421191) 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 63 ways as a sum of consecutive naturals, for example, 14884606 + ... + 14959076.

It is an arithmetic number, because the mean of its divisors is an integer number (26411792688).

Almost surely, 21111244421111 is an apocalyptic number.

1111244421111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1111244421111 is a deficient number, since it is larger than the sum of its proper divisors (579110310921).

1111244421111 is a wasteful number, since it uses less digits than its factorization.

1111244421111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74645 (or 74623 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

The spelling of 1111244421111 in words is "one trillion, one hundred eleven billion, two hundred forty-four million, four hundred twenty-one thousand, one hundred eleven".

Divisors: 1 3 11 33 37 101 111 121 303 363 407 1111 1221 1331 3333 3737 3993 4477 11211 12221 13431 36663 41107 49247 74471 123321 134431 147741 223413 403293 452177 819181 1356531 2457543 2755427 4973947 7521571 8266281 9010991 14921841 22564713 27032973 30309697 82737281 90929091 99120901 248211843 278298127 297362703 333406667 834894381 910110091 1000220001 2730330273 3061279397 3667473337 9183838191 10011211001 11002420011 30033633003 33674073367 101022220101 370414807037 1111244421111