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125701125 = 3531131983
BaseRepresentation
bin1110111111000…
…00110000000101
322202112021112020
413133200300011
5224134414000
620250113353
73054304404
oct737406005
9282467466
10125701125
1164a56130
123611b859
1320071b84
14129a163b
15b07eba0
hex77e0c05

125701125 has 64 divisors (see below), whose sum is σ = 235782144. Its totient is φ = 58920000.

The previous prime is 125701091. The next prime is 125701127. The reversal of 125701125 is 521107521.

It is not a de Polignac number, because 125701125 - 224 = 108923909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125701095 and 125701104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125701127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127384 + ... + 128366.

It is an arithmetic number, because the mean of its divisors is an integer number (3684096).

Almost surely, 2125701125 is an apocalyptic number.

125701125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125701125 is a deficient number, since it is larger than the sum of its proper divisors (110081019).

125701125 is a wasteful number, since it uses less digits than its factorization.

125701125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 125701125 is about 11211.6513056730. The cubic root of 125701125 is about 500.9330909328.

Adding to 125701125 its reverse (521107521), we get a palindrome (646808646).

It can be divided in two parts, 12570 and 1125, that added together give a triangular number (13695 = T165).

The spelling of 125701125 in words is "one hundred twenty-five million, seven hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 11 15 25 31 33 55 75 93 125 155 165 275 341 375 465 775 825 983 1023 1375 1705 2325 2949 3875 4125 4915 5115 8525 10813 11625 14745 24575 25575 30473 32439 42625 54065 73725 91419 122875 127875 152365 162195 270325 335203 368625 457095 761825 810975 1005609 1351625 1676015 2285475 3809125 4054875 5028045 8380075 11427375 25140225 41900375 125701125