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106335496330 = 25721918163103
BaseRepresentation
bin110001100001000010…
…1101110100010001010
3101011110200222220100221
41203002011232202022
53220233341340310
6120503322420254
710453043543200
oct1430205564212
9334420886327
10106335496330
1141107685288
121873766168a
13a048253c3b
14520a643070
152b75543ada
hex18c216e88a

106335496330 has 96 divisors (see below), whose sum is σ = 235670722560. Its totient is φ = 34347680640.

The previous prime is 106335496291. The next prime is 106335496381. The reversal of 106335496330 is 33694533601.

106335496330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1063354963302 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1653559 + ... + 1716661.

It is an arithmetic number, because the mean of its divisors is an integer number (2454903360).

Almost surely, 2106335496330 is an apocalyptic number.

106335496330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106335496330 is an abundant number, since it is smaller than the sum of its proper divisors (129335226230).

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

106335496330 is a wasteful number, since it uses less digits than its factorization.

106335496330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63324 (or 63317 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 43.

The spelling of 106335496330 in words is "one hundred six billion, three hundred thirty-five million, four hundred ninety-six thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 95 98 133 181 190 245 266 362 490 665 905 931 1267 1330 1810 1862 2534 3439 4655 6335 6878 8869 9310 12670 17195 17738 24073 34390 44345 48146 63103 88690 120365 126206 168511 240730 315515 337022 441721 631030 842555 883442 1198957 1685110 2208605 2397914 3092047 4417210 5994785 6184094 8392699 11421643 11989570 15460235 16785398 22843286 30920470 41963495 57108215 58748893 79951501 83926990 114216430 117497786 159903002 217011217 293744465 399757505 434022434 559660507 587488930 799515010 1085056085 1119321014 1519078519 2170112170 2798302535 3038157038 5596605070 7595392595 10633549633 15190785190 21267099266 53167748165 106335496330