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10030111001313 = 31317292272298097
BaseRepresentation
bin1001000111110101000100…
…1101000000101011100001
31022111212110200101121101020
42101331101031000223201
52303313131404020223
633155434104200053
72053436333545164
oct221752115005341
938455420347336
1010030111001313
1132178231a2a77
12115ba9ba69029
13579ab2516670
142696621cdadb
15125d8d6961e3
hex91f51340ae1

10030111001313 has 64 divisors (see below), whose sum is σ = 15844742242560. Its totient is φ = 5584262971392.

The previous prime is 10030111001311. The next prime is 10030111001321. The reversal of 10030111001313 is 31310011103001.

It is not a de Polignac number, because 10030111001313 - 21 = 10030111001311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10030111001292 and 10030111001301.

It is not an unprimeable number, because it can be changed into a prime (10030111001311) 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 63 ways as a sum of consecutive naturals, for example, 3215481 + ... + 5513577.

It is an arithmetic number, because the mean of its divisors is an integer number (247574097540).

Almost surely, 210030111001313 is an apocalyptic number.

10030111001313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10030111001313 is a deficient number, since it is larger than the sum of its proper divisors (5814631241247).

10030111001313 is a wasteful number, since it uses less digits than its factorization.

10030111001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298386.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10030111001313 its reverse (31310011103001), we get a palindrome (41340122104314).

The spelling of 10030111001313 in words is "ten trillion, thirty billion, one hundred eleven million, one thousand, three hundred thirteen".

Divisors: 1 3 13 17 29 39 51 87 221 227 377 493 663 681 1131 1479 2951 3859 6409 6583 8853 11577 19227 19749 50167 85579 111911 150501 256737 335733 1454843 2298097 4364529 6894291 29875261 39067649 66644813 89625783 117202947 199934439 507879437 521668019 866382569 1132961821 1523638311 1565004057 2599147707 3398885463 6781684247 8868356323 14728503673 15128372551 20345052741 26605068969 44185511019 45385117653 115288632199 196668843163 257182333367 345865896597 590006529489 771547000101 3343370333771 10030111001313