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106202026314 = 23310718380413
BaseRepresentation
bin110001011101000100…
…0100101000101001010
3101011010101211220221000
41202322020211011022
53220000204320224
6120442153555430
710446533220606
oct1427210450512
9334111756830
10106202026314
114104930328a
12186baa15b76
13a0266c1bb7
1451d6a1c506
152b6897c0c9
hex18ba22514a

106202026314 has 32 divisors (see below), whose sum is σ = 238210165440. Its totient is φ = 35069826096.

The previous prime is 106202026261. The next prime is 106202026339. The reversal of 106202026314 is 413620202601.

106202026314 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 20 + 2 + 631 + 4 = 666.

It is a super-2 number, since 2×1062020263142 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9184429 + ... + 9195984.

It is an arithmetic number, because the mean of its divisors is an integer number (7444067670).

Almost surely, 2106202026314 is an apocalyptic number.

106202026314 is an abundant number, since it is smaller than the sum of its proper divisors (132008139126).

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

106202026314 is a wasteful number, since it uses less digits than its factorization.

106202026314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18380531 (or 18380525 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 106202026314 its reverse (413620202601), we get a palindrome (519822228915).

The spelling of 106202026314 in words is "one hundred six billion, two hundred two million, twenty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 107 214 321 642 963 1926 2889 5778 18380413 36760826 55141239 110282478 165423717 330847434 496271151 992542302 1966704191 3933408382 5900112573 11800225146 17700337719 35400675438 53101013157 106202026314