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101334272 = 281330449
BaseRepresentation
bin1100000101000…
…11110100000000
321001200022111012
412002203310000
5201420144042
614015540052
72340220124
oct602436400
9231608435
10101334272
1152222a36
1229b2a628
1317cbcc10
14d65b584
158d69e82
hex60a3d00

101334272 has 36 divisors (see below), whose sum is σ = 217839300. Its totient is φ = 46768128.

The previous prime is 101334269. The next prime is 101334281. The reversal of 101334272 is 272433101.

It can be written as a sum of positive squares in 2 ways, for example, as 13424896 + 87909376 = 3664^2 + 9376^2 .

It is a super-3 number, since 3×1013342723 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11897 + ... + 18552.

Almost surely, 2101334272 is an apocalyptic number.

It is an amenable number.

101334272 is an abundant number, since it is smaller than the sum of its proper divisors (116505028).

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

101334272 is an equidigital number, since it uses as much as digits as its factorization.

101334272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30478 (or 30464 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 101334272 is about 10066.4925371253. The cubic root of 101334272 is about 466.2141500083.

Adding to 101334272 its reverse (272433101), we get a palindrome (373767373).

The spelling of 101334272 in words is "one hundred one million, three hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 30449 60898 121796 243592 395837 487184 791674 974368 1583348 1948736 3166696 3897472 6333392 7794944 12666784 25333568 50667136 101334272