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112131404511 = 37192331394153
BaseRepresentation
bin110100001101110001…
…1010111001011011111
3101201102122000112200220
41220123203113023133
53314121114421021
6123302405052423
711046502132530
oct1503343271337
9351378015626
10112131404511
1143611288945
12198946b7113
13a75cc620c9
1455da2c6687
152db42b4cc6
hex1a1b8d72df

112131404511 has 64 divisors (see below), whose sum is σ = 193734574080. Its totient is φ = 56190309120.

The previous prime is 112131404503. The next prime is 112131404521. The reversal of 112131404511 is 115404131211.

It is not a de Polignac number, because 112131404511 - 23 = 112131404503 is a prime.

It is a super-2 number, since 2×1121314045112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112131404521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87411 + ... + 481563.

It is an arithmetic number, because the mean of its divisors is an integer number (3027102720).

Almost surely, 2112131404511 is an apocalyptic number.

112131404511 is a deficient number, since it is larger than the sum of its proper divisors (81603169569).

112131404511 is a wasteful number, since it uses less digits than its factorization.

112131404511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394236.

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 112131404511 its reverse (115404131211), we get a palindrome (227535535722).

The spelling of 112131404511 in words is "one hundred twelve billion, one hundred thirty-one million, four hundred four thousand, five hundred eleven".

Divisors: 1 3 7 19 21 23 31 57 69 93 133 161 217 399 437 483 589 651 713 1311 1767 2139 3059 4123 4991 9177 12369 13547 14973 40641 94829 284487 394153 1182459 2759071 7488907 8277213 9065519 12218743 22466721 27196557 36656229 52422349 63458633 85531201 157267047 172244861 190375899 232156117 256593603 281031089 516734583 696468351 843093267 1205714027 1625092819 1967217623 3617142081 4875278457 5339590691 5901652869 16018772073 37377134837 112131404511