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106200310623 = 31143146316127
BaseRepresentation
bin110001011101000001…
…0000010001101011111
3101011010021121202102220
41202322002002031133
53214444234414443
6120442053120423
710446512513601
oct1427202021537
9334107552386
10106200310623
1141048341260
12186ba329113
13a026240cb4
1451d66d3171
152b6873da83
hex18ba08235f

106200310623 has 32 divisors (see below), whose sum is σ = 155175616512. Its totient is φ = 64071823200.

The previous prime is 106200310603. The next prime is 106200310669. The reversal of 106200310623 is 326013002601.

It is a happy number.

It is not a de Polignac number, because 106200310623 - 216 = 106200245087 is a prime.

It is a super-2 number, since 2×1062003106232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106200310593 and 106200310602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106200310603) 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 31 ways as a sum of consecutive naturals, for example, 6577186 + ... + 6593312.

It is an arithmetic number, because the mean of its divisors is an integer number (4849238016).

Almost surely, 2106200310623 is an apocalyptic number.

106200310623 is a deficient number, since it is larger than the sum of its proper divisors (48975305889).

106200310623 is a wasteful number, since it uses less digits than its factorization.

106200310623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17035.

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 106200310623 in words is "one hundred six billion, two hundred million, three hundred ten thousand, six hundred twenty-three".

Divisors: 1 3 11 33 431 463 1293 1389 4741 5093 14223 15279 16127 48381 177397 199553 532191 598659 2195083 6585249 6950737 7466801 20852211 22400403 76458107 82134811 229374321 246404433 3218191231 9654573693 35400103541 106200310623