Search a number
-
+
20341322154 = 2341710976733
BaseRepresentation
bin10010111100011011…
…111111000110101010
31221111121210020020000
4102330123333012222
5313124334302104
613202241043430
71320035246136
oct227433770652
957447706200
1020341322154
11869916744a
123b38326576
131bc2312cca
14dad7743c6
157e0bdd639
hex4bc6ff1aa

20341322154 has 80 divisors (see below), whose sum is σ = 48311951688. Its totient is φ = 6374827008.

The previous prime is 20341322149. The next prime is 20341322159. The reversal of 20341322154 is 45122314302.

20341322154 is a `hidden beast` number, since 20 + 3 + 413 + 221 + 5 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (20341322149) and next prime (20341322159).

It can be written as a sum of positive squares in 4 ways, for example, as 20341320129 + 2025 = 142623^2 + 45^2 .

It is a super-2 number, since 2×203413221542 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20341322159) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3017772 + ... + 3024504.

Almost surely, 220341322154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20341322154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24155975844).

20341322154 is an abundant number, since it is smaller than the sum of its proper divisors (27970629534).

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

20341322154 is a wasteful number, since it uses less digits than its factorization.

20341322154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7861 (or 7852 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20341322154 its reverse (45122314302), we get a palindrome (65463636456).

The spelling of 20341322154 in words is "twenty billion, three hundred forty-one million, three hundred twenty-two thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1097 1377 2194 2754 3291 6582 6733 9873 13466 18649 19746 20199 29619 37298 40398 55947 59238 60597 88857 111894 114461 121194 167841 177714 181791 228922 335682 343383 363582 503523 545373 686766 1007046 1030149 1090746 1510569 2060298 3021138 3090447 6180894 7386101 9271341 14772202 18542682 22158303 44316606 66474909 125563717 132949818 199424727 251127434 376691151 398849454 598274181 753382302 1130073453 1196548362 2260146906 3390220359 6780440718 10170661077 20341322154