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1230230112 = 253291632711
BaseRepresentation
bin100100101010011…
…1101001001100000
310011201220011110020
41021110331021200
510004414330422
6322024033440
742325532466
oct11124751140
93151804406
101230230112
11581484101
122a4002880
13167b4a117
14b955c836
157300c95c
hex4953d260

1230230112 has 96 divisors (see below), whose sum is σ = 3362446080. Its totient is φ = 393361920.

The previous prime is 1230230101. The next prime is 1230230153. The reversal of 1230230112 is 2110320321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12302301122 = 3026932256943065088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1230230091 and 1230230100.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 452437 + ... + 455147.

It is an arithmetic number, because the mean of its divisors is an integer number (35025480).

Almost surely, 21230230112 is an apocalyptic number.

1230230112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681223040).

1230230112 is an abundant number, since it is smaller than the sum of its proper divisors (2132215968).

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

1230230112 is a wasteful number, since it uses less digits than its factorization.

1230230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1230230112 is about 35074.6363060260. The cubic root of 1230230112 is about 1071.5080816474.

Adding to 1230230112 its reverse (2110320321), we get a palindrome (3340550433).

The spelling of 1230230112 in words is "one billion, two hundred thirty million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 163 174 232 326 348 464 489 652 696 928 978 1304 1392 1956 2608 2711 2784 3912 4727 5216 5422 7824 8133 9454 10844 14181 15648 16266 18908 21688 28362 32532 37816 43376 56724 65064 75632 78619 86752 113448 130128 151264 157238 226896 235857 260256 314476 441893 453792 471714 628952 883786 943428 1257904 1325679 1767572 1886856 2515808 2651358 3535144 3773712 5302716 7070288 7547424 10605432 12814897 14140576 21210864 25629794 38444691 42421728 51259588 76889382 102519176 153778764 205038352 307557528 410076704 615115056 1230230112