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106332732330 = 235111013190301
BaseRepresentation
bin110001100000111101…
…1001011101110101010
3101011110111210110212120
41203001323023232222
53220232134413310
6120503143252110
710453011211656
oct1430173135652
9334414713776
10106332732330
1141106067690
121873674a036
13a0477c6b36
14520a123a66
152b75199b70
hex18c1ecbbaa

106332732330 has 64 divisors (see below), whose sum is σ = 281154934656. Its totient is φ = 25522400000.

The previous prime is 106332732323. The next prime is 106332732349. The reversal of 106332732330 is 33237233601.

It is a happy number.

It is a super-2 number, since 2×1063327323302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 106332732291 and 106332732300.

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, 1561821 + ... + 1628480.

It is an arithmetic number, because the mean of its divisors is an integer number (4393045854).

Almost surely, 2106332732330 is an apocalyptic number.

106332732330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106332732330 is an abundant number, since it is smaller than the sum of its proper divisors (174822202326).

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

106332732330 is a wasteful number, since it uses less digits than its factorization.

106332732330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190423.

The product of its (nonzero) digits is 40824, while the sum is 33.

Adding to 106332732330 its reverse (33237233601), we get a palindrome (139569965931).

The spelling of 106332732330 in words is "one hundred six billion, three hundred thirty-two million, seven hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1111 1515 2222 3030 3333 5555 6666 11110 16665 33330 3190301 6380602 9570903 15951505 19141806 31903010 35093311 47854515 70186622 95709030 105279933 175466555 210559866 322220401 350933110 526399665 644440802 966661203 1052799330 1611102005 1933322406 3222204010 3544424411 4833306015 7088848822 9666612030 10633273233 17722122055 21266546466 35444244110 53166366165 106332732330