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125404131501 = 3311249517753
BaseRepresentation
bin111010011001010101…
…0110011000010101101
3102222200121222221021000
41310302222303002231
54023311424202001
6133335421430513
712026426346555
oct1646252630255
9388617887230
10125404131501
11492023aa100
122037970b439
13ba969a2c0c
1460d8d66165
1533de639a86
hex1d32ab30ad

125404131501 has 48 divisors (see below), whose sum is σ = 204276338560. Its totient is φ = 75977352000.

The previous prime is 125404131499. The next prime is 125404131509. The reversal of 125404131501 is 105131404521.

125404131501 is a `hidden beast` number, since 1 + 2 + 540 + 41 + 31 + 50 + 1 = 666.

It is not a de Polignac number, because 125404131501 - 21 = 125404131499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125404131509) 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 47 ways as a sum of consecutive naturals, for example, 16171041 + ... + 16178793.

Almost surely, 2125404131501 is an apocalyptic number.

125404131501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

125404131501 is a deficient number, since it is larger than the sum of its proper divisors (78872207059).

125404131501 is a wasteful number, since it uses less digits than its factorization.

125404131501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12735 (or 12718 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 125404131501 in words is "one hundred twenty-five billion, four hundred four million, one hundred thirty-one thousand, five hundred one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 4951 7753 14853 23259 44559 54461 69777 85283 133677 163383 209331 255849 490149 599071 767547 938113 1470447 1797213 2302641 2814339 5391639 8443017 16174917 25329051 38385103 115155309 345465927 422236133 1036397781 1266708399 3800125197 4644597463 11400375591 13933792389 41801377167 125404131501