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101328930 = 23256118457
BaseRepresentation
bin1100000101000…
…10100000100010
321001200001011100
412002202200202
5201420011210
614015455230
72340165423
oct602424042
9231601140
10101328930
1152219a1a
1229b27516
1317cba661
14d65964a
158d685c0
hex60a2822

101328930 has 48 divisors (see below), whose sum is σ = 267788664. Its totient is φ = 26576640.

The previous prime is 101328923. The next prime is 101328937. The reversal of 101328930 is 39823101.

It is an interprime number because it is at equal distance from previous prime (101328923) and next prime (101328937).

It can be written as a sum of positive squares in 4 ways, for example, as 65076489 + 36252441 = 8067^2 + 6021^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101328894 and 101328903.

It is not an unprimeable number, because it can be changed into a prime (101328937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3739 + ... + 14718.

Almost surely, 2101328930 is an apocalyptic number.

101328930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101328930 is an abundant number, since it is smaller than the sum of its proper divisors (166459734).

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

101328930 is a wasteful number, since it uses less digits than its factorization.

101328930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18531 (or 18528 counting only the distinct ones).

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

The square root of 101328930 is about 10066.2271979128. The cubic root of 101328930 is about 466.2059574534.

The spelling of 101328930 in words is "one hundred one million, three hundred twenty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 18457 36914 55371 92285 110742 166113 184570 276855 332226 553710 830565 1125877 1661130 2251754 3377631 5629385 6755262 10132893 11258770 16888155 20265786 33776310 50664465 101328930