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5413100022 = 2331159257601
BaseRepresentation
bin1010000101010010…
…10101100111110110
3111222020200222021000
411002221111213312
542041223200042
62253045304130
7251066406501
oct50251254766
914866628230
105413100022
112328610190
121070a05046
13683608a85
14394cb6138
1521a35674c
hex142a559f6

5413100022 has 128 divisors (see below), whose sum is σ = 13419302400. Its totient is φ = 1603584000.

The previous prime is 5413100003. The next prime is 5413100029. The reversal of 5413100022 is 2200013145.

5413100022 is a `hidden beast` number, since 541 + 3 + 100 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5413099968 and 5413100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5413100029) 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 63 ways as a sum of consecutive naturals, for example, 9006522 + ... + 9007122.

It is an arithmetic number, because the mean of its divisors is an integer number (104838300).

Almost surely, 25413100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5413100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6709651200).

5413100022 is an abundant number, since it is smaller than the sum of its proper divisors (8006202378).

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

5413100022 is a wasteful number, since it uses less digits than its factorization.

5413100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5413100022 is about 73573.7726503134. The cubic root of 5413100022 is about 1755.8281897255.

Adding to 5413100022 its reverse (2200013145), we get a palindrome (7613113167).

The spelling of 5413100022 in words is "five billion, four hundred thirteen million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 99 118 177 198 257 297 354 514 531 594 601 649 771 1062 1202 1298 1542 1593 1803 1947 2313 2827 3186 3606 3894 4626 5409 5654 5841 6611 6939 8481 10818 11682 13222 13878 15163 16227 16962 17523 19833 25443 30326 32454 35046 35459 39666 45489 50886 59499 70918 76329 90978 106377 118998 136467 152658 154457 166793 178497 212754 272934 308914 319131 333586 356994 390049 409401 463371 500379 638262 780098 818802 926742 957393 1000758 1170147 1390113 1501137 1699027 1914786 2340294 2780226 3002274 3398054 3510441 4170339 4503411 5097081 7020882 8340678 9006822 9112963 10194162 10531323 15291243 18225926 21062646 27338889 30582486 45873729 54677778 82016667 91747458 100242593 164033334 200485186 246050001 300727779 492100002 601455558 902183337 1804366674 2706550011 5413100022