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1241135104 = 21111371489
BaseRepresentation
bin100100111111010…
…0011100000000000
310012111102012021211
41021332203200000
510020212310404
6323053455504
742520321456
oct11176434000
93174365254
101241135104
115876521a0
122a77a1594
1316a197891
14bab9a9d6
1573e63b04
hex49fa3800

1241135104 has 96 divisors (see below), whose sum is σ = 2782306800. Its totient is φ = 548536320.

The previous prime is 1241135041. The next prime is 1241135107. The reversal of 1241135104 is 4015311421.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1241135107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 832792 + ... + 834280.

Almost surely, 21241135104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391153400).

1241135104 is an abundant number, since it is smaller than the sum of its proper divisors (1541171696).

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

1241135104 is a wasteful number, since it uses less digits than its factorization.

1241135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1241135104 is about 35229.7474302613. The cubic root of 1241135104 is about 1074.6647893728.

Adding to 1241135104 its reverse (4015311421), we get a palindrome (5256446525).

The spelling of 1241135104 in words is "one billion, two hundred forty-one million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 512 592 704 814 1024 1184 1408 1489 1628 2048 2368 2816 2978 3256 4736 5632 5956 6512 9472 11264 11912 13024 16379 18944 22528 23824 26048 32758 37888 47648 52096 55093 65516 75776 95296 104192 110186 131032 190592 208384 220372 262064 381184 416768 440744 524128 606023 762368 833536 881488 1048256 1212046 1524736 1762976 2096512 2424092 3049472 3525952 4193024 4848184 7051904 8386048 9696368 14103808 16772096 19392736 28207616 33544192 38785472 56415232 77570944 112830464 155141888 310283776 620567552 1241135104