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106241314230 = 23352291718281
BaseRepresentation
bin110001011110001111…
…0011100110110110110
3101011020010202221211000
41202330132130312312
53220040234023410
6120450120024130
710450521161622
oct1427436346666
9334203687730
10106241314230
11410694a7937
1218710002046
13a03189959c
1451dbd28182
152b6c13cdc0
hex18bc79cdb6

106241314230 has 64 divisors (see below), whose sum is σ = 284547499200. Its totient is φ = 28207284480.

The previous prime is 106241314217. The next prime is 106241314259. The reversal of 106241314230 is 32413142601.

It is a happy number.

106241314230 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 413 + 14 + 230 = 666.

It is a super-2 number, since 2×1062413142302 (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 a junction number, because it is equal to n+sod(n) for n = 106241314194 and 106241314203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797311 + ... + 920970.

It is an arithmetic number, because the mean of its divisors is an integer number (4446054675).

Almost surely, 2106241314230 is an apocalyptic number.

106241314230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106241314230 is an abundant number, since it is smaller than the sum of its proper divisors (178306184970).

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

106241314230 is a wasteful number, since it uses less digits than its factorization.

106241314230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718526 (or 1718520 counting only the distinct ones).

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

Adding to 106241314230 its reverse (32413142601), we get a palindrome (138654456831).

The spelling of 106241314230 in words is "one hundred six billion, two hundred forty-one million, three hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 229 270 458 687 1145 1374 2061 2290 3435 4122 6183 6870 10305 12366 20610 30915 61830 1718281 3436562 5154843 8591405 10309686 15464529 17182810 25774215 30929058 46393587 51548430 77322645 92787174 154645290 231967935 393486349 463935870 786972698 1180459047 1967431745 2360918094 3541377141 3934863490 5902295235 7082754282 10624131423 11804590470 17706885705 21248262846 35413771410 53120657115 106241314230