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1241013000 = 23353499829
BaseRepresentation
bin100100111111000…
…0101101100001000
310012111011222210110
41021332011230020
510020144404000
6323051114320
742516302463
oct11176055410
93174158713
101241013000
11587579487
122a77429a0
1316a154126
14bab682da
1573e3c850
hex49f85b08

1241013000 has 128 divisors (see below), whose sum is σ = 3884400000. Its totient is φ = 329875200.

The previous prime is 1241012999. The next prime is 1241013013. The reversal of 1241013000 is 3101421.

It is a happy number.

It is a super-2 number, since 2×12410130002 = 3080226532338000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1496586 + ... + 1497414.

It is an arithmetic number, because the mean of its divisors is an integer number (30346875).

Almost surely, 21241013000 is an apocalyptic number.

1241013000 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 1241013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942200000).

1241013000 is an abundant number, since it is smaller than the sum of its proper divisors (2643387000).

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

1241013000 is a wasteful number, since it uses less digits than its factorization.

1241013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1241013000 is about 35228.0144203445. The cubic root of 1241013000 is about 1074.6295460506.

Adding to 1241013000 its reverse (3101421), we get a palindrome (1244114421).

The spelling of 1241013000 in words is "one billion, two hundred forty-one million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 499 500 600 750 829 998 1000 1497 1500 1658 1996 2487 2495 2994 3000 3316 3992 4145 4974 4990 5988 6632 7485 8290 9948 9980 11976 12435 12475 14970 16580 19896 19960 20725 24870 24950 29940 33160 37425 41450 49740 49900 59880 62175 62375 74850 82900 99480 99800 103625 124350 124750 149700 165800 187125 207250 248700 249500 299400 310875 374250 413671 414500 497400 499000 621750 748500 827342 829000 1241013 1243500 1497000 1654684 2068355 2482026 2487000 3309368 4136710 4964052 6205065 8273420 9928104 10341775 12410130 16546840 20683550 24820260 31025325 41367100 49640520 51708875 62050650 82734200 103417750 124101300 155126625 206835500 248202600 310253250 413671000 620506500 1241013000