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106510201050224 = 24293136720176483
BaseRepresentation
bin11000001101111011010110…
…101100101101010001110000
3111222010021110001010211121102
4120031323112230231101300
5102430030342432101344
61014310035540543532
731302052034055236
oct3015732654552160
9458107401124542
10106510201050224
1130a347a4861044
12bb424829b1ba8
134757b3ab752aa
141c4319a960956
15c4a894c0de4e
hex60ded6b2d470

106510201050224 has 80 divisors (see below), whose sum is σ = 220966396293120. Its totient is φ = 49624461008640.

The previous prime is 106510201050223. The next prime is 106510201050277. The reversal of 106510201050224 is 422050102015601.

It is a super-2 number, since 2×1065102010502242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106510201050223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4809314 + ... + 15367169.

It is an arithmetic number, because the mean of its divisors is an integer number (2762079953664).

Almost surely, 2106510201050224 is an apocalyptic number.

It is an amenable number.

106510201050224 is an abundant number, since it is smaller than the sum of its proper divisors (114456195242896).

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

106510201050224 is a wasteful number, since it uses less digits than its factorization.

106510201050224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20176918 (or 20176912 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 106510201050224 its reverse (422050102015601), we get a palindrome (528560303065825).

The spelling of 106510201050224 in words is "one hundred six trillion, five hundred ten billion, two hundred one million, fifty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 31 58 62 116 124 232 248 367 464 496 734 899 1468 1798 2936 3596 5872 7192 10643 11377 14384 21286 22754 42572 45508 85144 91016 170288 182032 329933 659866 1319732 2639464 5278928 20176483 40352966 80705932 161411864 322823728 585118007 625470973 1170236014 1250941946 2340472028 2501883892 4680944056 5003767784 7404769261 9361888112 10007535568 14809538522 18138658217 29619077044 36277316434 59238154088 72554632868 118476308176 145109265736 214738308569 229547847091 290218531472 429476617138 459095694182 858953234276 918191388364 1717906468552 1836382776728 3435812937104 3672765553456 6656887565639 13313775131278 26627550262556 53255100525112 106510201050224