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1241032100 = 2252711533041
BaseRepresentation
bin100100111111000…
…1010010110100100
310012111012221222212
41021332022112210
510020201011400
6323051342552
742516412250
oct11176122644
93174187885
101241032100
11587591870
122a7751a58
1316a15ca29
14bab71260
1573e43335
hex49f8a5a4

1241032100 has 144 divisors (see below), whose sum is σ = 3422030976. Its totient is φ = 379392000.

The previous prime is 1241032097. The next prime is 1241032123. The reversal of 1241032100 is 12301421.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 406580 + ... + 409620.

It is an arithmetic number, because the mean of its divisors is an integer number (23764104).

Almost surely, 21241032100 is an apocalyptic number.

1241032100 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 1241032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711015488).

1241032100 is an abundant number, since it is smaller than the sum of its proper divisors (2180998876).

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

1241032100 is a wasteful number, since it uses less digits than its factorization.

1241032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1241032100 is about 35228.2855103679. The cubic root of 1241032100 is about 1074.6350591057.

Adding to 1241032100 its reverse (12301421), we get a palindrome (1253333521).

The spelling of 1241032100 in words is "one billion, two hundred forty-one million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 53 55 70 77 100 106 110 140 154 175 212 220 265 275 308 350 371 385 530 550 583 700 742 770 1060 1100 1166 1325 1484 1540 1855 1925 2332 2650 2915 3041 3710 3850 4081 5300 5830 6082 7420 7700 8162 9275 11660 12164 14575 15205 16324 18550 20405 21287 29150 30410 33451 37100 40810 42574 58300 60820 66902 76025 81620 85148 102025 106435 133804 152050 161173 167255 204050 212870 234157 304100 322346 334510 408100 425740 468314 532175 644692 669020 805865 836275 936628 1064350 1128211 1170785 1611730 1672550 1772903 2128700 2256422 2341570 3223460 3345100 3545806 4029325 4512844 4683140 5641055 5853925 7091612 8058650 8864515 11282110 11707850 12410321 16117300 17729030 22564220 23415700 24820642 28205275 35458060 44322575 49641284 56410550 62051605 88645150 112821100 124103210 177290300 248206420 310258025 620516050 1241032100