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10012301302122 = 23272511173126987
BaseRepresentation
bin1001000110110010101110…
…1010011001100101101010
31022110011111111022010222200
42101230223222121211222
52303020143113131442
633143330540401030
72052236105603010
oct221545352314552
938404444263880
1010012301302122
113210214079409
12115854b546176
13578204855712
14268852b7c8b0
15125699d7d34c
hex91b2ba9996a

10012301302122 has 96 divisors (see below), whose sum is σ = 24894183734784. Its totient is φ = 2848912020000.

The previous prime is 10012301302117. The next prime is 10012301302127. The reversal of 10012301302122 is 22120310321001.

10012301302122 is a `hidden beast` number, since 10 + 0 + 1 + 230 + 1 + 302 + 122 = 666.

10012301302122 is digitally balanced in base 2, 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 (10012301302117) and next prime (10012301302127).

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 = 10012301302095 and 10012301302104.

It is not an unprimeable number, because it can be changed into a prime (10012301302127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370991113 + ... + 371018099.

It is an arithmetic number, because the mean of its divisors is an integer number (259314413904).

Almost surely, 210012301302122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012301302122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12447091867392).

10012301302122 is an abundant number, since it is smaller than the sum of its proper divisors (14881882432662).

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

10012301302122 is a wasteful number, since it uses less digits than its factorization.

10012301302122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38984 (or 38981 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10012301302122 its reverse (22120310321001), we get a palindrome (32132611623123).

The spelling of 10012301302122 in words is "ten trillion, twelve billion, three hundred one million, three hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 251 502 753 1506 1757 2259 3514 4518 5271 10542 11731 15813 23462 26987 31626 35193 53974 70386 80961 82117 105579 161922 164234 188909 211158 242883 246351 377818 485766 492702 566727 739053 1133454 1478106 1700181 2944481 3400362 5888962 6773737 8833443 13547474 17666886 20321211 20611367 26500329 40642422 41222734 47416159 53000658 60963633 61834101 94832318 121927266 123668202 142248477 185502303 284496954 316584497 371004606 426745431 633168994 853490862 949753491 1899506982 2216091479 2849260473 4432182958 5698520946 6648274437 13296548874 19944823311 39889646622 79462708747 158925417494 238388126241 476776252482 556238961229 715164378723 1112477922458 1430328757446 1668716883687 3337433767374 5006150651061 10012301302122