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124920540481 = 1142321272
BaseRepresentation
bin111010001010111011…
…0000010110101000001
3102221102221000222002111
41310111312002311001
54021314124243411
6133215424415321
712011435034322
oct1642566026501
9387387028074
10124920540481
1148a84430000
1220263777541
13ba1a744899
146090a42449
1533b1e63721
hex1d15d82d41

124920540481 has 45 divisors (see below), whose sum is σ = 144785898705. Its totient is φ = 107771229720.

The previous prime is 124920540473. The next prime is 124920540551. The reversal of 124920540481 is 184045029421.

The square root of 124920540481 is 353441.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 124920540481 - 23 = 124920540473 is a prime.

It is a super-2 number, since 2×1249205404812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (124920540281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 983626240 + ... + 983626366.

Almost surely, 2124920540481 is an apocalyptic number.

124920540481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

124920540481 is the 353441-st square number.

124920540481 is the 176721-st centered octagonal number.

It is an amenable number.

124920540481 is a deficient number, since it is larger than the sum of its proper divisors (19865358224).

124920540481 is an frugal number, since it uses more digits than its factorization.

124920540481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 124920540481 in words is "one hundred twenty-four billion, nine hundred twenty million, five hundred forty thousand, four hundred eighty-one".

Divisors: 1 11 23 121 127 253 529 1331 1397 2783 2921 5819 14641 15367 16129 30613 32131 64009 67183 169037 177419 336743 353441 370967 704099 739013 1859407 1951609 3887851 4080637 7745089 8129143 8532241 21467699 42766361 44887007 89420573 93854651 236144689 493757077 983626303 1032401161 5431327847 11356412771 124920540481