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10231000 = 235313787
BaseRepresentation
bin100111000001…
…110011011000
3201020210021221
4213001303120
510104343000
61003141424
7152650663
oct47016330
921223257
1010231000
11585877a
123514874
132172a60
1415046da
15d7161a
hex9c1cd8

10231000 has 64 divisors (see below), whose sum is σ = 25814880. Its totient is φ = 3772800.

The previous prime is 10230989. The next prime is 10231009. The reversal of 10231000 is 13201.

10231000 = 1102 + 1112 + ... + 3172.

It is a super-2 number, since 2×102310002 = 209346722000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12607 + ... + 13393.

Almost surely, 210231000 is an apocalyptic number.

10231000 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 10231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907440).

10231000 is an abundant number, since it is smaller than the sum of its proper divisors (15583880).

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

10231000 is a wasteful number, since it uses less digits than its factorization.

10231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 10231000 is about 3198.5934408737. The cubic root of 10231000 is about 217.0897715172.

Adding to 10231000 its reverse (13201), we get a palindrome (10244201).

The spelling of 10231000 in words is "ten million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 787 1000 1300 1574 1625 2600 3148 3250 3935 6296 6500 7870 10231 13000 15740 19675 20462 31480 39350 40924 51155 78700 81848 98375 102310 157400 196750 204620 255775 393500 409240 511550 787000 1023100 1278875 2046200 2557750 5115500 10231000