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106314221622143 = 1737313540003259
BaseRepresentation
bin11000001011000100110101…
…011010100001001101111111
3111221102112120220021100221002
4120023010311122201031333
5102413323011213402033
61014040025033400515
731251643343315243
oct3013046532411577
9457375526240832
10106314221622143
1130969676555057
12bb104a986913b
1347425077cb372
141c378c882a423
15c457247253e8
hex60b1356a137f

106314221622143 has 16 divisors (see below), whose sum is σ = 115979740169760. Its totient is φ = 97045065501696.

The previous prime is 106314221622121. The next prime is 106314221622179. The reversal of 106314221622143 is 341226122413601.

It is a cyclic number.

It is not a de Polignac number, because 106314221622143 - 236 = 106245502145407 is a prime.

It is a super-2 number, since 2×1063142216221432 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106314221622097 and 106314221622106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106314221622643) 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, 269804753 + ... + 270198506.

It is an arithmetic number, because the mean of its divisors is an integer number (7248733760610).

Almost surely, 2106314221622143 is an apocalyptic number.

106314221622143 is a deficient number, since it is larger than the sum of its proper divisors (9665518547617).

106314221622143 is a wasteful number, since it uses less digits than its factorization.

106314221622143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540003626.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 106314221622143 in words is "one hundred six trillion, three hundred fourteen billion, two hundred twenty-one million, six hundred twenty-two thousand, one hundred forty-three".

Divisors: 1 17 37 313 629 5321 11581 196877 540003259 9180055403 19980120583 169021020067 339662049911 2873357341139 6253777742479 106314221622143