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1000130323122 = 2327263237712697
BaseRepresentation
bin11101000110111000110…
…10011010001010110010
310112121111210122112012100
432203130122122022302
5112341231330314442
62043241543441230
7132154106323560
oct16433432321262
93477453575170
101000130323122
11356175548657
121419b9756216
1373409298408
143659988ca30
151b037e0a84c
hexe8dc69a2b2

1000130323122 has 96 divisors (see below), whose sum is σ = 2487171278592. Its totient is φ = 284522844672.

The previous prime is 1000130323117. The next prime is 1000130323133. The reversal of 1000130323122 is 2213230310001.

1000130323122 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 2×10001303231222 (a number of 25 digits) contains 22 as substring.

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 = 1000130323095 and 1000130323104.

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, 78762678 + ... + 78775374.

It is an arithmetic number, because the mean of its divisors is an integer number (25908034152).

Almost surely, 21000130323122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000130323122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243585639296).

1000130323122 is an abundant number, since it is smaller than the sum of its proper divisors (1487040955470).

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

1000130323122 is a wasteful number, since it uses less digits than its factorization.

1000130323122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15352 (or 15349 counting only the distinct ones).

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

Adding to 1000130323122 its reverse (2213230310001), we get a palindrome (3213360633123).

The spelling of 1000130323122 in words is "one trillion, one hundred thirty million, three hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 263 526 789 1578 1841 2367 2377 3682 4734 4754 5523 7131 11046 12697 14262 16569 16639 21393 25394 33138 33278 38091 42786 49917 76182 88879 99834 114273 149751 177758 228546 266637 299502 533274 625151 799911 1250302 1599822 1875453 3339311 3750906 4376057 5626359 6678622 8752114 10017933 11252718 13128171 20035866 23375177 26256342 30053799 30180769 39384513 46750354 60107598 60361538 70125531 78769026 90542307 140251062 181084614 210376593 211265383 271626921 420753186 422530766 543253842 633796149 1267592298 1901388447 3802776894 7937542247 15875084494 23812626741 47625253482 55562795729 71437880223 111125591458 142875760446 166688387187 333376774374 500065161561 1000130323122