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106338383388 = 2235933711717
BaseRepresentation
bin110001100001001000…
…0101111011000011100
3101011110220102120200000
41203002100233120130
53220240111232023
6120503504334300
710453110226236
oct1430220573034
9334426376600
10106338383388
1141109277386
1218738614390
13a048a25063
14520ab95256
152b75914243
hex18c242f61c

106338383388 has 72 divisors (see below), whose sum is σ = 278808998832. Its totient is φ = 35439306624.

The previous prime is 106338383363. The next prime is 106338383413. The reversal of 106338383388 is 883383833601.

It is a happy number.

106338383388 is a `hidden beast` number, since 106 + 3 + 3 + 83 + 83 + 388 = 666.

It is an interprime number because it is at equal distance from previous prime (106338383363) and next prime (106338383413).

It is a super-2 number, since 2×1063383833882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9069706 + ... + 9081422.

It is an arithmetic number, because the mean of its divisors is an integer number (3872347206).

Almost surely, 2106338383388 is an apocalyptic number.

106338383388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106338383388 is an abundant number, since it is smaller than the sum of its proper divisors (172470615444).

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

106338383388 is a wasteful number, since it uses less digits than its factorization.

106338383388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21073 (or 21059 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 106338383388 in words is "one hundred six billion, three hundred thirty-eight million, three hundred eighty-three thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 9337 11717 18674 23434 28011 35151 37348 46868 56022 70302 84033 105453 112044 140604 168066 210906 252099 316359 336132 421812 504198 632718 756297 949077 1008396 1265436 1512594 1898154 2268891 2847231 3025188 3796308 4537782 5694462 9075564 11388924 109401629 218803258 328204887 437606516 656409774 984614661 1312819548 1969229322 2953843983 3938458644 5907687966 8861531949 11815375932 17723063898 26584595847 35446127796 53169191694 106338383388