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10330133240 = 2357281131293
BaseRepresentation
bin10011001111011100…
…10101001011111000
3222122220222010210102
421213232111023320
5132124003230430
64425014334532
7513663453350
oct114756251370
928586863712
1010330133240
1144210aaaa9
12200365a448
13c88208a9b
146ddd3bb60
15406d70345
hex267b952f8

10330133240 has 64 divisors (see below), whose sum is σ = 26657933760. Its totient is φ = 3529128960.

The previous prime is 10330133201. The next prime is 10330133287. The reversal of 10330133240 is 4233103301.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13034 + ... + 144326.

It is an arithmetic number, because the mean of its divisors is an integer number (416530215).

Almost surely, 210330133240 is an apocalyptic number.

10330133240 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 10330133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13328966880).

10330133240 is an abundant number, since it is smaller than the sum of its proper divisors (16327800520).

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

10330133240 is a wasteful number, since it uses less digits than its factorization.

10330133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131592 (or 131588 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10330133240 its reverse (4233103301), we get a palindrome (14563236541).

The spelling of 10330133240 in words is "ten billion, three hundred thirty million, one hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 281 562 1124 1405 1967 2248 2810 3934 5620 7868 9835 11240 15736 19670 39340 78680 131293 262586 525172 656465 919051 1050344 1312930 1838102 2625860 3676204 4595255 5251720 7352408 9190510 18381020 36762040 36893333 73786666 147573332 184466665 258253331 295146664 368933330 516506662 737866660 1033013324 1291266655 1475733320 2066026648 2582533310 5165066620 10330133240