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125350103541 = 31324323324677
BaseRepresentation
bin111010010111101110…
…0101100100111110101
3102222112212100000211110
41310233130230213311
54023204111303131
6133330211425233
712025202204625
oct1645734544765
9388485300743
10125350103541
11491849580a3
12203635b5219
13ba88737300
1460d1b00885
1533d9a16646
hex1d2f72c9f5

125350103541 has 48 divisors (see below), whose sum is σ = 185989991616. Its totient is φ = 75018198528.

The previous prime is 125350103539. The next prime is 125350103561. The reversal of 125350103541 is 145301053521.

It is not a de Polignac number, because 125350103541 - 21 = 125350103539 is a prime.

It is a super-3 number, since 3×1253501035413 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125350103499 and 125350103508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125350103561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5067295 + ... + 5091971.

It is an arithmetic number, because the mean of its divisors is an integer number (3874791492).

Almost surely, 2125350103541 is an apocalyptic number.

It is an amenable number.

125350103541 is a deficient number, since it is larger than the sum of its proper divisors (60639888075).

125350103541 is a wasteful number, since it uses less digits than its factorization.

125350103541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24982 (or 24969 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 125350103541 in words is "one hundred twenty-five billion, three hundred fifty million, one hundred three thousand, five hundred forty-one".

Divisors: 1 3 13 39 43 129 169 233 507 559 699 1677 3029 7267 9087 10019 21801 24677 30057 39377 74031 118131 130247 320801 390741 962403 1061111 1693211 3183333 4170413 5079633 5749741 12511239 13794443 17249223 41383329 74746633 179327759 224239899 247238863 537983277 741716589 971706229 2915118687 3214105219 9642315657 41783367847 125350103541