Search a number
-
+
1010100 = 2235271337
BaseRepresentation
bin11110110100110110100
31220022121010
43312212310
5224310400
633352220
711404620
oct3664664
91808533
101010100
1162a9a3
12408670
132949c0
141c4180
1514e450
hexf69b4

1010100 has 144 divisors (see below), whose sum is σ = 3694208. Its totient is φ = 207360.

The previous prime is 1010083. The next prime is 1010129. The reversal of 1010100 is 10101.

Adding to 1010100 its reverse (10101), we get a palindrome (1020201).

Subtracting from 1010100 its reverse (10101), we obtain a palindrome (999999).

Multipling 1010100 by its reverse (10101), we get a square (10203020100 = 1010102).

1010100 divided by its reverse (10101) gives a square (100 = 102).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27282 + ... + 27318.

21010100 is an apocalyptic number.

1010100 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 1010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847104).

1010100 is an abundant number, since it is smaller than the sum of its proper divisors (2684108).

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

1010100 is a wasteful number, since it uses less digits than its factorization.

1010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1010100 is about 1005.0373127402. The cubic root of 1010100 is about 100.3355395396.

The spelling of 1010100 in words is "one million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 37 39 42 50 52 60 65 70 74 75 78 84 91 100 105 111 130 140 148 150 156 175 182 185 195 210 222 259 260 273 300 325 350 364 370 390 420 444 455 481 518 525 546 555 650 700 740 777 780 910 925 962 975 1036 1050 1092 1110 1295 1300 1365 1443 1554 1820 1850 1924 1950 2100 2220 2275 2405 2590 2730 2775 2886 3108 3367 3700 3885 3900 4550 4810 5180 5460 5550 5772 6475 6734 6825 7215 7770 9100 9620 10101 11100 12025 12950 13468 13650 14430 15540 16835 19425 20202 24050 25900 27300 28860 33670 36075 38850 40404 48100 50505 67340 72150 77700 84175 101010 144300 168350 202020 252525 336700 505050 1010100