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103320031122 = 232711611222057
BaseRepresentation
bin110000000111001011…
…0101000111110010010
3100212200112212101202100
41200032112220332102
53143044411443442
6115244202501230
710315236526350
oct1401626507622
9325615771670
10103320031122
113a8aa511680
1218035804816
1399875b63b9
145001d727d0
152a4a94784c
hex180e5a8f92

103320031122 has 96 divisors (see below), whose sum is σ = 283673879424. Its totient is φ = 26396409600.

The previous prime is 103320031121. The next prime is 103320031123. The reversal of 103320031122 is 221130023301.

103320031122 is a `hidden beast` number, since 1 + 0 + 332 + 0 + 0 + 311 + 22 = 666.

103320031122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103320031121) and next prime (103320031123).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103320031095 and 103320031104.

It is not an unprimeable number, because it can be changed into a prime (103320031121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526483 + ... + 695574.

It is an arithmetic number, because the mean of its divisors is an integer number (2954936244).

Almost surely, 2103320031122 is an apocalyptic number.

103320031122 is an abundant number, since it is smaller than the sum of its proper divisors (180353848302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103320031122 is a wasteful number, since it uses less digits than its factorization.

103320031122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222144 (or 1222141 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103320031122 its reverse (221130023301), we get a palindrome (324450054423).

The spelling of 103320031122 in words is "one hundred three billion, three hundred twenty million, thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 61 63 66 77 99 122 126 154 183 198 231 366 427 462 549 671 693 854 1098 1281 1342 1386 2013 2562 3843 4026 4697 6039 7686 9394 12078 14091 28182 42273 84546 1222057 2444114 3666171 7332342 8554399 10998513 13442627 17108798 21997026 25663197 26885254 40327881 51326394 74545477 76989591 80655762 94098389 120983643 149090954 153979182 188196778 223636431 241967286 282295167 447272862 521818339 564590334 670909293 820000247 846885501 1043636678 1341818586 1565455017 1640000494 1693771002 2460000741 3130910034 4696365051 4920001482 5740001729 7380002223 9392730102 11480003458 14760004446 17220005187 34440010374 51660015561 103320031122