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101268468 = 2234744651
BaseRepresentation
bin1100000100100…
…11101111110100
321001112222020000
412002103233310
5201411042333
614014311300
72336524230
oct602235764
9231488200
10101268468
1152188554
1229ab8530
1317c98c92
14d6415c0
158d55713
hex6093bf4

101268468 has 60 divisors (see below), whose sum is σ = 302561952. Its totient is φ = 28933200.

The previous prime is 101268449. The next prime is 101268469. The reversal of 101268468 is 864862101.

It is a super-2 number, since 2×1012684682 = 20510605222134048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101268469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20058 + ... + 24593.

Almost surely, 2101268468 is an apocalyptic number.

101268468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101268468 is an abundant number, since it is smaller than the sum of its proper divisors (201293484).

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

101268468 is a wasteful number, since it uses less digits than its factorization.

101268468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44674 (or 44663 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 101268468 is about 10063.2235392045. The cubic root of 101268468 is about 466.1132121308.

The spelling of 101268468 in words is "one hundred one million, two hundred sixty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 44651 89302 133953 178604 267906 312557 401859 535812 625114 803718 937671 1205577 1250228 1607436 1875342 2411154 2813013 3616731 3750684 4822308 5626026 7233462 8439039 11252052 14466924 16878078 25317117 33756156 50634234 101268468