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123381900 = 22335245697
BaseRepresentation
bin1110101101010…
…10100010001100
322121011110011000
413112222202030
5223041210100
620124300300
73025504665
oct726524214
9277143130
10123381900
1163711714
12353a1690
131c73c355
141255a36c
15ac72900
hex75aa88c

123381900 has 72 divisors (see below), whose sum is σ = 396658640. Its totient is φ = 32901120.

The previous prime is 123381893. The next prime is 123381911. The reversal of 123381900 is 9183321.

It is a super-2 number, since 2×1233819002 = 30446186495220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20149 + ... + 25548.

Almost surely, 2123381900 is an apocalyptic number.

123381900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123381900 is an abundant number, since it is smaller than the sum of its proper divisors (273276740).

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

123381900 is a wasteful number, since it uses less digits than its factorization.

123381900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45720 (or 45707 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 123381900 is about 11107.7405443231. The cubic root of 123381900 is about 497.8331564767.

The spelling of 123381900 in words is "one hundred twenty-three million, three hundred eighty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 45697 91394 137091 182788 228485 274182 411273 456970 548364 685455 822546 913940 1142425 1233819 1370910 1645092 2056365 2284850 2467638 2741820 3427275 4112730 4569700 4935276 6169095 6854550 8225460 10281825 12338190 13709100 20563650 24676380 30845475 41127300 61690950 123381900