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105650712020 = 22572233946091
BaseRepresentation
bin110001001100101000…
…1011110110111010100
3101002200222110020220002
41202121101132313110
53212333040241040
6120311341230432
710430060143400
oct1423121366724
9332628406802
10105650712020
1140896088737
1218586262418
139c69411419
14518370a100
152b35379a15
hex189945edd4

105650712020 has 72 divisors (see below), whose sum is σ = 258205540320. Its totient is φ = 36206829120.

The previous prime is 105650712017. The next prime is 105650712023. The reversal of 105650712020 is 20217056501.

It is an interprime number because it is at equal distance from previous prime (105650712017) and next prime (105650712023).

It is a super-2 number, since 2×1056507120202 (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 (105650712023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2269175 + ... + 2315265.

It is an arithmetic number, because the mean of its divisors is an integer number (3586188060).

Almost surely, 2105650712020 is an apocalyptic number.

105650712020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105650712020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129102770160).

105650712020 is an abundant number, since it is smaller than the sum of its proper divisors (152554828300).

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

105650712020 is a wasteful number, since it uses less digits than its factorization.

105650712020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48453 (or 48444 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

Adding to 105650712020 its reverse (20217056501), we get a palindrome (125867768521).

The spelling of 105650712020 in words is "one hundred five billion, six hundred fifty million, seven hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2339 4678 9356 11695 16373 23390 32746 46091 46780 65492 81865 92182 114611 163730 184364 229222 230455 322637 327460 458444 460910 573055 645274 921820 1146110 1290548 1613185 2258459 2292220 3226370 4516918 6452740 9033836 11292295 22584590 45169180 107806849 215613698 431227396 539034245 754647943 1078068490 1509295886 2156136980 3018591772 3773239715 5282535601 7546479430 10565071202 15092958860 21130142404 26412678005 52825356010 105650712020