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101430324 = 223247151397
BaseRepresentation
bin1100000101110…
…11010000110100
321001212012020200
412002323100310
5201431232244
614022000500
72341100142
oct602732064
9231765220
10101430324
1152289116
1229b76130
1318024858
14d684592
158d88669
hex60bb434

101430324 has 72 divisors (see below), whose sum is σ = 264246528. Its totient is φ = 32788800.

The previous prime is 101430319. The next prime is 101430349. The reversal of 101430324 is 423034101.

It is a super-2 number, since 2×1014303242 = 20576221253489952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101430297 and 101430306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255294 + ... + 255690.

Almost surely, 2101430324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101430324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132123264).

101430324 is an abundant number, since it is smaller than the sum of its proper divisors (162816204).

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

101430324 is a wasteful number, since it uses less digits than its factorization.

101430324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101430324 is about 10071.2622843415. The cubic root of 101430324 is about 466.3614073947.

Adding to 101430324 its reverse (423034101), we get a palindrome (524464425).

The spelling of 101430324 in words is "one hundred one million, four hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 151 188 282 302 397 423 453 564 604 794 846 906 1191 1359 1588 1692 1812 2382 2718 3573 4764 5436 7097 7146 14194 14292 18659 21291 28388 37318 42582 55977 59947 63873 74636 85164 111954 119894 127746 167931 179841 223908 239788 255492 335862 359682 539523 671724 719364 1079046 2158092 2817509 5635018 8452527 11270036 16905054 25357581 33810108 50715162 101430324