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125022020240 = 24513373249013
BaseRepresentation
bin111010001101111100…
…1001010001010010000
3102221200222222200011002
41310123321022022100
54022021114121430
6133233451441132
712014106431555
oct1643371121220
9387628880132
10125022020240
1149026742277
12202917561a8
13ba35785a90
1460a02daa2c
1533bad0b845
hex1d1be4a290

125022020240 has 80 divisors (see below), whose sum is σ = 321496433328. Its totient is φ = 44914341888.

The previous prime is 125022020171. The next prime is 125022020281. The reversal of 125022020240 is 42020220521.

It can be written as a sum of positive squares in 8 ways, for example, as 20935774864 + 104086245376 = 144692^2 + 322624^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1586027 + ... + 1662986.

Almost surely, 2125022020240 is an apocalyptic number.

125022020240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125022020240 is an abundant number, since it is smaller than the sum of its proper divisors (196474413088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125022020240 is a wasteful number, since it uses less digits than its factorization.

125022020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249076 (or 3249070 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 125022020240 its reverse (42020220521), we get a palindrome (167042240761).

The spelling of 125022020240 in words is "one hundred twenty-five billion, twenty-two million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9620 19240 38480 3249013 6498026 12996052 16245065 25992104 32490130 42237169 51984208 64980260 84474338 120213481 129960520 168948676 211185845 240426962 259921040 337897352 422371690 480853924 601067405 675794704 844743380 961707848 1202134810 1562775253 1689486760 1923415696 2404269620 3125550506 3378973520 4808539240 6251101012 7813876265 9617078480 12502202024 15627752530 25004404048 31255505060 62511010120 125022020240