Search a number
-
+
101324000 = 255373347
BaseRepresentation
bin1100000101000…
…01010011100000
321001122210101202
412002201103200
5201414332000
614015420332
72340145151
oct602412340
9231583352
10101324000
1152216248
1229b246a8
1317cb833b
14d657928
158d66dd5
hex60a14e0

101324000 has 96 divisors (see below), whose sum is σ = 253090656. Its totient is φ = 39859200.

The previous prime is 101323991. The next prime is 101324009. The reversal of 101324000 is 423101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101323991) and next prime (101324009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101324009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291827 + ... + 292173.

It is an arithmetic number, because the mean of its divisors is an integer number (2636361).

Almost surely, 2101324000 is an apocalyptic number.

101324000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126545328).

101324000 is an abundant number, since it is smaller than the sum of its proper divisors (151766656).

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

101324000 is an equidigital number, since it uses as much as digits as its factorization.

101324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 101324000 is about 10065.9823166942. The cubic root of 101324000 is about 466.1983964911.

Adding to 101324000 its reverse (423101), we get a palindrome (101747101).

The spelling of 101324000 in words is "one hundred one million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 347 365 400 500 584 694 730 800 1000 1168 1388 1460 1735 1825 2000 2336 2776 2920 3470 3650 4000 5552 5840 6940 7300 8675 9125 11104 11680 13880 14600 17350 18250 25331 27760 29200 34700 36500 43375 50662 55520 58400 69400 73000 86750 101324 126655 138800 146000 173500 202648 253310 277600 292000 347000 405296 506620 633275 694000 810592 1013240 1266550 1388000 2026480 2533100 3166375 4052960 5066200 6332750 10132400 12665500 20264800 25331000 50662000 101324000