Search a number
-
+
1241031220 = 22511132291151
BaseRepresentation
bin100100111111000…
…1010001000110100
310012111012220210021
41021332022020310
510020200444340
6323051334524
742516406552
oct11176121064
93174186707
101241031220
11587591140
122a7751444
1316a15c500
14bab70bd2
1573e42e4a
hex49f8a234

1241031220 has 144 divisors (see below), whose sum is σ = 3187537920. Its totient is φ = 401856000.

The previous prime is 1241031203. The next prime is 1241031269. The reversal of 1241031220 is 221301421.

It is a junction number, because it is equal to n+sod(n) for n = 1241031194 and 1241031203.

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, 1077645 + ... + 1078795.

It is an arithmetic number, because the mean of its divisors is an integer number (22135680).

Almost surely, 21241031220 is an apocalyptic number.

1241031220 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 1241031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593768960).

1241031220 is an abundant number, since it is smaller than the sum of its proper divisors (1946506700).

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

1241031220 is a wasteful number, since it uses less digits than its factorization.

1241031220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1241031220 is about 35228.2730204022. The cubic root of 1241031220 is about 1074.6348051023.

Adding to 1241031220 its reverse (221301421), we get a palindrome (1462332641).

The spelling of 1241031220 in words is "one billion, two hundred forty-one million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 29 44 52 55 58 65 110 116 130 143 145 169 220 260 286 290 319 338 377 572 580 638 676 715 754 845 1151 1276 1430 1508 1595 1690 1859 1885 2302 2860 3190 3380 3718 3770 4147 4604 4901 5755 6380 7436 7540 8294 9295 9802 11510 12661 14963 16588 18590 19604 20735 23020 24505 25322 29926 33379 37180 41470 49010 50644 53911 59852 63305 66758 74815 82940 98020 107822 126610 133516 149630 164593 166895 194519 215644 253220 269555 299260 329186 333790 367169 389038 433927 539110 658372 667580 734338 778076 822965 867854 972595 1078220 1468676 1645930 1735708 1835845 1945190 2139709 2169635 3291860 3671690 3890380 4279418 4339270 4773197 5641051 7343380 8558836 8678540 9546394 10698545 11282102 19092788 21397090 22564204 23865985 28205255 42794180 47731970 56410510 62051561 95463940 112821020 124103122 248206244 310257805 620515610 1241031220