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20113135121513 = 7219149383378569
BaseRepresentation
bin1001001001010111101000…
…10001100011010001101001
32122012210111222011011020102
410210223310101203101221
510114013200042342023
6110435502520235145
74144061144466200
oct444536421432151
978183458134212
1020113135121513
116454a29478365
12230a08830bab5
13b2b878184b15
144d76a397c237
1524d2c7313628
hex124af4463469

20113135121513 has 48 divisors (see below), whose sum is σ = 24858420480000. Its totient is φ = 16180456658688.

The previous prime is 20113135121507. The next prime is 20113135121549. The reversal of 20113135121513 is 31512153131102.

It is a happy number.

It is not a de Polignac number, because 20113135121513 - 26 = 20113135121449 is a prime.

It is a super-2 number, since 2×201131351215132 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20113135121593) 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, 52940093 + ... + 53318661.

It is an arithmetic number, because the mean of its divisors is an integer number (517883760000).

Almost surely, 220113135121513 is an apocalyptic number.

It is an amenable number.

20113135121513 is a deficient number, since it is larger than the sum of its proper divisors (4745285358487).

20113135121513 is a wasteful number, since it uses less digits than its factorization.

20113135121513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379134 (or 379127 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

Adding to 20113135121513 its reverse (31512153131102), we get a palindrome (51625288252615).

The spelling of 20113135121513 in words is "twenty trillion, one hundred thirteen billion, one hundred thirty-five million, one hundred twenty-one thousand, five hundred thirteen".

Divisors: 1 7 19 49 133 149 383 931 1043 2681 2831 7277 7301 18767 19817 50939 57067 138719 356573 378569 399469 1084273 2649983 2796283 7192811 7589911 18549881 50349677 53129377 56406781 144991927 352447739 394847467 1014943489 1071728839 2754846613 2763932269 7104604423 7502101873 19283926291 21603797123 52514713111 134987484037 151226579861 410472145337 1058586059027 2873305017359 20113135121513