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1001303010113 = 71979397240047
BaseRepresentation
bin11101001001000100100…
…11110110101101000001
310112201112112021012022212
432210202103312231001
5112401132032310423
62043554154311505
7132225136104230
oct16444223665501
93481475235285
101001303010113
1135671749975a
12142086428595
1373565218943
143666b50cb17
151b0a5d4d578
hexe9224f6b41

1001303010113 has 32 divisors (see below), whose sum is σ = 1222900531200. Its totient is φ = 800770411584.

The previous prime is 1001303010077. The next prime is 1001303010133. The reversal of 1001303010113 is 3110103031001.

It is a happy number.

It is not a de Polignac number, because 1001303010113 - 230 = 1000229268289 is a prime.

It is a super-2 number, since 2×10013030101132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001303010133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4051256 + ... + 4291302.

It is an arithmetic number, because the mean of its divisors is an integer number (38215641600).

Almost surely, 21001303010113 is an apocalyptic number.

It is an amenable number.

1001303010113 is a deficient number, since it is larger than the sum of its proper divisors (221597521087).

1001303010113 is a wasteful number, since it uses less digits than its factorization.

1001303010113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240549.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 1001303010113 its reverse (3110103031001), we get a palindrome (4111406041114).

The spelling of 1001303010113 in words is "one trillion, one billion, three hundred three million, ten thousand, one hundred thirteen".

Divisors: 1 7 19 79 133 397 553 1501 2779 7543 10507 31363 52801 219541 240047 595897 1680329 4171279 4560893 18963713 31926251 95298659 132745991 360310547 667090613 1810674521 2522173829 7528594061 12674721647 52700158427 143043287159 1001303010113