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1120384350107 = 1117371559103867
BaseRepresentation
bin10000010011011100000…
…111000111011110011011
310222002220111211001012122
4100103130013013132123
5121324021343200412
62214410352531455
7143642111562461
oct20233407073633
93862814731178
101120384350107
113a2174836a30
1216117a550b8b
1381861ca50b9
143c32683c831
151e22533d572
hex104dc1c779b

1120384350107 has 32 divisors (see below), whose sum is σ = 1329975728640. Its totient is φ = 932101793280.

The previous prime is 1120384350077. The next prime is 1120384350157. The reversal of 1120384350107 is 7010534830211.

It is a cyclic number.

It is not a de Polignac number, because 1120384350107 - 222 = 1120380155803 is a prime.

It is a super-3 number, since 3×11203843501073 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1120384350157) 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, 10734788 + ... + 10838654.

It is an arithmetic number, because the mean of its divisors is an integer number (41561741520).

Almost surely, 21120384350107 is an apocalyptic number.

1120384350107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1120384350107 is a deficient number, since it is larger than the sum of its proper divisors (209591378533).

1120384350107 is a wasteful number, since it uses less digits than its factorization.

1120384350107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105491.

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 1120384350107 in words is "one trillion, one hundred twenty billion, three hundred eighty-four million, three hundred fifty thousand, one hundred seven".

Divisors: 1 11 17 37 187 407 629 1559 6919 17149 26503 57683 103867 291533 634513 980611 1142537 1765739 3843079 10786721 19423129 42273869 65332343 161928653 718655773 1781215183 2752787101 5991360161 30280658111 65904961771 101853122737 1120384350107