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10301132132130 = 2357213751150167
BaseRepresentation
bin1001010111100110101101…
…0100100100111100100010
31100110210000121110112220010
42111321223110210330202
52322233204311212010
633524135203425350
72112142441261500
oct225715324447442
940423017415803
1010301132132130
11331175a5a1a04
1211a4518385256
135995146a83a8
14278812775670
1512ce51bd3620
hex95e6b524f22

10301132132130 has 96 divisors (see below), whose sum is σ = 28968999947136. Its totient is φ = 2337357985536.

The previous prime is 10301132132129. The next prime is 10301132132141. The reversal of 10301132132130 is 3123123110301.

It is a happy number.

10301132132130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103011321321302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10301132132097 and 10301132132106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25373694 + ... + 25776473.

It is an arithmetic number, because the mean of its divisors is an integer number (301760416116).

Almost surely, 210301132132130 is an apocalyptic number.

10301132132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10301132132130 is an abundant number, since it is smaller than the sum of its proper divisors (18667867815006).

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

10301132132130 is a wasteful number, since it uses less digits than its factorization.

10301132132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51150328 (or 51150321 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10301132132130 its reverse (3123123110301), we get a palindrome (13424255242431).

The spelling of 10301132132130 in words is "ten trillion, three hundred one billion, one hundred thirty-two million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 137 147 210 245 274 294 411 490 685 735 822 959 1370 1470 1918 2055 2877 4110 4795 5754 6713 9590 13426 14385 20139 28770 33565 40278 67130 100695 201390 51150167 102300334 153450501 255750835 306901002 358051169 511501670 716102338 767252505 1074153507 1534505010 1790255845 2148307014 2506358183 3580511690 5012716366 5370767535 7007572879 7519074549 10741535070 12531790915 14015145758 15038149098 21022718637 25063581830 35037864395 37595372745 42045437274 49053010153 70075728790 75190745490 98106020306 105113593185 147159030459 210227186370 245265050765 294318060918 343371071071 490530101530 686742142142 735795152295 1030113213213 1471590304590 1716855355355 2060226426426 3433710710710 5150566066065 10301132132130