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103013233320231 = 32134617919241177
BaseRepresentation
bin10111011011000010100011…
…001011011110000100100111
3111111201222011100102010101100
4113123002203023132010213
5102000232100212221411
61003031343122131143
730461313644566023
oct2733024313360447
9444658140363340
10103013233320231
112a906737729243
12b6787a34b0ab3
13456314c49a140
141b61c1d44b383
15bd9925ba2456
hex5db0a32de127

103013233320231 has 48 divisors (see below), whose sum is σ = 160611350739840. Its totient is φ = 63246997532160.

The previous prime is 103013233320139. The next prime is 103013233320317. The reversal of 103013233320231 is 132023332310301.

103013233320231 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 1 + 323 + 332 + 0 + 2 + 3 + 1 = 666.

103013233320231 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 103013233320231 - 217 = 103013233189159 is a prime.

It is a super-3 number, since 3×1030132333202313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 103013233320195 and 103013233320204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013233320631) 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, 427006515 + ... + 427247691.

It is an arithmetic number, because the mean of its divisors is an integer number (3346069807080).

Almost surely, 2103013233320231 is an apocalyptic number.

103013233320231 is a deficient number, since it is larger than the sum of its proper divisors (57598117419609).

103013233320231 is a wasteful number, since it uses less digits than its factorization.

103013233320231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249576 (or 249573 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103013233320231 its reverse (132023332310301), we get a palindrome (235036565630532).

The spelling of 103013233320231 in words is "one hundred three trillion, thirteen billion, two hundred thirty-three million, three hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 13 39 117 461 1383 4149 5993 7919 17979 23757 53937 71271 102947 241177 308841 723531 926523 2170593 3135301 3650659 9405903 10951977 28217709 32855931 47458567 111182597 142375701 333547791 427127103 1000643373 1445373761 1909880663 4336121283 5729641989 13008363849 17188925967 24828448619 74485345857 223456037571 880454985643 2641364956929 7924094870787 11445914813359 34337744440077 103013233320231