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101330432 = 2973577
BaseRepresentation
bin1100000101000…
…10111000000000
321001200010012222
412002202320000
5201420033212
614015510212
72340203000
oct602427000
9231603188
10101330432
1152220065
1229b28368
1317cbb248
14d65a000
158d68c72
hex60a2e00

101330432 has 80 divisors (see below), whose sum is σ = 236517600. Its totient is φ = 43352064.

The previous prime is 101330357. The next prime is 101330441. The reversal of 101330432 is 234033101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101330432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175328 + ... + 175904.

It is an arithmetic number, because the mean of its divisors is an integer number (2956470).

Almost surely, 2101330432 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 101330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118258800).

101330432 is an abundant number, since it is smaller than the sum of its proper divisors (135187168).

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

101330432 is an frugal number, since it uses more digits than its factorization.

101330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 101330432 is about 10066.3018035424. The cubic root of 101330432 is about 466.2082609676.

Adding to 101330432 its reverse (234033101), we get a palindrome (335363533).

The spelling of 101330432 in words is "one hundred one million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 577 686 784 896 1154 1372 1568 1792 2308 2744 3136 3584 4039 4616 5488 6272 8078 9232 10976 12544 16156 18464 21952 25088 28273 32312 36928 43904 56546 64624 73856 87808 113092 129248 147712 175616 197911 226184 258496 295424 395822 452368 516992 791644 904736 1033984 1583288 1809472 2067968 3166576 3618944 6333152 7237888 12666304 14475776 25332608 50665216 101330432