Search a number
-
+
10024143300 = 22325241271657
BaseRepresentation
bin10010101010111110…
…00100100111000100
3221212121012020111200
421111133010213010
5131012140041200
64334404102500
7503256545403
oct112537044704
927777166450
1010024143300
114284405256
121b39094a30
13c399c1752
146b144963a
153da07b800
hex2557c49c4

10024143300 has 108 divisors (see below), whose sum is σ = 32186583156. Its totient is φ = 2607897600.

The previous prime is 10024143299. The next prime is 10024143301. The reversal of 10024143300 is 334142001.

It is an interprime number because it is at equal distance from previous prime (10024143299) and next prime (10024143301).

It can be written as a sum of positive squares in 6 ways, for example, as 3529072836 + 6495070464 = 59406^2 + 80592^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10024143301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98929 + ... + 172728.

Almost surely, 210024143300 is an apocalyptic number.

10024143300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024143300 is an abundant number, since it is smaller than the sum of its proper divisors (22162439856).

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

10024143300 is a wasteful number, since it uses less digits than its factorization.

10024143300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271718 (or 271708 counting only the distinct ones).

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

Adding to 10024143300 its reverse (334142001), we get a palindrome (10358285301).

The spelling of 10024143300 in words is "ten billion, twenty-four million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 271657 543314 814971 1086628 1358285 1629942 2444913 2716570 3259884 4074855 4889826 5433140 6791425 8149710 9779652 11137937 12224565 13582850 16299420 20374275 22275874 24449130 27165700 33413811 40748550 44551748 48898260 55689685 61122825 66827622 81497100 100241433 111379370 122245650 133655244 167069055 200482866 222758740 244491300 278448425 334138110 400965732 501207165 556896850 668276220 835345275 1002414330 1113793700 1670690550 2004828660 2506035825 3341381100 5012071650 10024143300