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1241133120 = 26325430949
BaseRepresentation
bin100100111111010…
…0011000001000000
310012111102002120100
41021332203001000
510020212224440
6323053442400
742520312623
oct11176430100
93174362510
101241133120
11587650757
122a77a0400
1316a1969c6
14bab99dba
1573e63230
hex49fa3040

1241133120 has 84 divisors (see below), whose sum is σ = 4268990700. Its totient is φ = 330968064.

The previous prime is 1241133119. The next prime is 1241133121. The reversal of 1241133120 is 213311421.

It is an interprime number because it is at equal distance from previous prime (1241133119) and next prime (1241133121).

It can be written as a sum of positive squares in 2 ways, for example, as 535274496 + 705858624 = 23136^2 + 26568^2 .

It is a super-2 number, since 2×12411331202 = 3080822843121868800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1241133093 and 1241133102.

It is not an unprimeable number, because it can be changed into a prime (1241133121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212595 + ... + 218354.

Almost surely, 21241133120 is an apocalyptic number.

1241133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1241133120 is an abundant number, since it is smaller than the sum of its proper divisors (3027857580).

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

1241133120 is a wasteful number, since it uses less digits than its factorization.

1241133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430972 (or 430959 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1241133120 is about 35229.7192722281. The cubic root of 1241133120 is about 1074.6642167421.

Adding to 1241133120 its reverse (213311421), we get a palindrome (1454444541).

The spelling of 1241133120 in words is "one billion, two hundred forty-one million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 430949 861898 1292847 1723796 2154745 2585694 3447592 3878541 4309490 5171388 6464235 6895184 7757082 8618980 10342776 12928470 13790368 15514164 17237960 19392705 20685552 25856940 27580736 31028328 34475920 38785410 41371104 51713880 62056656 68951840 77570820 82742208 103427760 124113312 137903680 155141640 206855520 248226624 310283280 413711040 620566560 1241133120