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10332241400 = 2352138944651
BaseRepresentation
bin10011001111101100…
…10111110111111000
3222200001221020122102
421213312113313320
5132130023211100
64425131442532
7514020413525
oct114766276770
928601836572
1010332241400
11442230a988
1220042b6448
13c88796510
1470032a14c
15407139cd5
hex267d97df8

10332241400 has 96 divisors (see below), whose sum is σ = 26161606800. Its totient is φ = 3772032000.

The previous prime is 10332241399. The next prime is 10332241429. The reversal of 10332241400 is 414223301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209075 + ... + 253725.

Almost surely, 210332241400 is an apocalyptic number.

10332241400 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 10332241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080803400).

10332241400 is an abundant number, since it is smaller than the sum of its proper divisors (15829365400).

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

10332241400 is a wasteful number, since it uses less digits than its factorization.

10332241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44769 (or 44760 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10332241400 its reverse (414223301), we get a palindrome (10746464701).

The spelling of 10332241400 in words is "ten billion, three hundred thirty-two million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 89 100 104 130 178 200 260 325 356 445 520 650 712 890 1157 1300 1780 2225 2314 2600 3560 4450 4628 5785 8900 9256 11570 17800 23140 28925 44651 46280 57850 89302 115700 178604 223255 231400 357208 446510 580463 893020 1116275 1160926 1786040 2232550 2321852 2902315 3973939 4465100 4643704 5804630 7947878 8930200 11609260 14511575 15895756 19869695 23218520 29023150 31791512 39739390 51661207 58046300 79478780 99348475 103322414 116092600 158957560 198696950 206644828 258306035 397393900 413289656 516612070 794787800 1033224140 1291530175 2066448280 2583060350 5166120700 10332241400