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20242510541 = 1131596715017
BaseRepresentation
bin10010110110100011…
…000011001011001101
31221020201212002011122
4102312203003023031
5312424040314131
613144351130325
71314425333501
oct226643031315
957221762148
1020242510541
118648407860
123b0b2139a5
131ba79c73b6
14da05b2301
157d71c0d7b
hex4b68c32cd

20242510541 has 32 divisors (see below), whose sum is σ = 23529000960. Its totient is φ = 17244374400.

The previous prime is 20242510517. The next prime is 20242510573. The reversal of 20242510541 is 14501524202.

It is not a de Polignac number, because 20242510541 - 214 = 20242494157 is a prime.

It is a super-2 number, since 2×202425105412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20242510541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242510501) 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 31 ways as a sum of consecutive naturals, for example, 1340465 + ... + 1355481.

It is an arithmetic number, because the mean of its divisors is an integer number (735281280).

Almost surely, 220242510541 is an apocalyptic number.

It is an amenable number.

20242510541 is a deficient number, since it is larger than the sum of its proper divisors (3286490419).

20242510541 is a wasteful number, since it uses less digits than its factorization.

20242510541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15185.

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 20242510541 in words is "twenty billion, two hundred forty-two million, five hundred ten thousand, five hundred forty-one".

Divisors: 1 11 31 59 67 341 649 737 1829 2077 3953 15017 20119 22847 43483 122543 165187 465527 886003 1006139 1347973 5120797 9746033 11067529 27466093 31190309 59362201 302127023 343093399 652984211 1840228231 20242510541