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106384232988 = 223211347774199
BaseRepresentation
bin110001100010011111…
…1101001001000011100
3101011121002200222111100
41203010333221020130
53220333330423423
6120512223153100
710454205026445
oct1430477511034
9334532628440
10106384232988
1141132142910
121874ba45790
13a0553892b7
145212ccc2cc
152b7996e343
hex18c4fe921c

106384232988 has 72 divisors (see below), whose sum is σ = 294208387200. Its totient is φ = 32144700960.

The previous prime is 106384232963. The next prime is 106384232989. The reversal of 106384232988 is 889232483601.

106384232988 is a `hidden beast` number, since 106 + 38 + 423 + 2 + 9 + 88 = 666.

It is a super-2 number, since 2×1063842329882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106384232989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249688 + ... + 524511.

It is an arithmetic number, because the mean of its divisors is an integer number (4086227600).

Almost surely, 2106384232988 is an apocalyptic number.

106384232988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106384232988 is an abundant number, since it is smaller than the sum of its proper divisors (187824154212).

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

106384232988 is a wasteful number, since it uses less digits than its factorization.

106384232988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774567 (or 774562 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 106384232988 in words is "one hundred six billion, three hundred eighty-four million, two hundred thirty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 347 396 694 1041 1388 2082 3123 3817 4164 6246 7634 11451 12492 15268 22902 34353 45804 68706 137412 774199 1548398 2322597 3096796 4645194 6967791 8516189 9290388 13935582 17032378 25548567 27871164 34064756 51097134 76645701 102194268 153291402 268647053 306582804 537294106 805941159 1074588212 1611882318 2417823477 2955117583 3223764636 4835646954 5910235166 8865352749 9671293908 11820470332 17730705498 26596058247 35461410996 53192116494 106384232988