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103416541355226 = 231112716773879829
BaseRepresentation
bin10111100000111010001010…
…001101100001110011011010
3111120011112011120122002021210
4113200322022031201303122
5102023334034041331401
61003540523033043550
730532412205405651
oct2740721215416332
9446145146562253
10103416541355226
112aa51788593260
12b72299a5565b6
1345921a4271b28
141b7755cabc198
15be517cbd94d6
hex5e0e8a361cda

103416541355226 has 64 divisors (see below), whose sum is σ = 228774508462080. Its totient is φ = 30905409648960.

The previous prime is 103416541355209. The next prime is 103416541355243. The reversal of 103416541355226 is 622553145614301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103416541355209) and next prime (103416541355243).

It is a super-2 number, since 2×1034165413552262 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35540121 + ... + 38339708.

It is an arithmetic number, because the mean of its divisors is an integer number (3574601694720).

Almost surely, 2103416541355226 is an apocalyptic number.

103416541355226 is an abundant number, since it is smaller than the sum of its proper divisors (125357967106854).

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

103416541355226 is a wasteful number, since it uses less digits than its factorization.

103416541355226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73880139.

The product of its (nonzero) digits is 2592000, while the sum is 48.

Adding to 103416541355226 its reverse (622553145614301), we get a palindrome (725969686969527).

The spelling of 103416541355226 in words is "one hundred three trillion, four hundred sixteen billion, five hundred forty-one million, three hundred fifty-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 127 167 254 334 381 501 762 1002 1397 1837 2794 3674 4191 5511 8382 11022 21209 42418 63627 127254 233299 466598 699897 1399794 73879829 147759658 221639487 443278974 812678119 1625356238 2438034357 4876068714 9382738283 12337931443 18765476566 24675862886 28148214849 37013794329 56296429698 74027588658 103210121113 135717245873 206420242226 271434491746 309630363339 407151737619 619260726678 814303475238 1566917293261 3133834586522 4700751879783 9401503759566 17236090225871 34472180451742 51708270677613 103416541355226