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10333101040 = 2453115972609
BaseRepresentation
bin10011001111110011…
…01001101111110000
3222200010112220211221
421213321221233300
5132130233213130
64425202114424
7514030624003
oct114771515760
928603486757
1010333101040
114422847829
12200464ba14
13c88a07892
147004b153a
1540725987a
hex267e69bf0

10333101040 has 80 divisors (see below), whose sum is σ = 24824482560. Its totient is φ = 3995873280.

The previous prime is 10333100989. The next prime is 10333101047. The reversal of 10333101040 is 4010133301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333101047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3959256 + ... + 3961864.

It is an arithmetic number, because the mean of its divisors is an integer number (310306032).

Almost surely, 210333101040 is an apocalyptic number.

10333101040 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 10333101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12412241280).

10333101040 is an abundant number, since it is smaller than the sum of its proper divisors (14491381520).

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

10333101040 is a wasteful number, since it uses less digits than its factorization.

10333101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4244 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10333101040 its reverse (4010133301), we get a palindrome (14343234341).

The spelling of 10333101040 in words is "ten billion, three hundred thirty-three million, one hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1597 2480 2609 3194 5218 6388 7985 10436 12776 13045 15970 20872 25552 26090 31940 41744 49507 52180 63880 80879 99014 104360 127760 161758 198028 208720 247535 323516 396056 404395 495070 647032 792112 808790 990140 1294064 1617580 1980280 3235160 3960560 4166573 6470320 8333146 16666292 20832865 33332584 41665730 66665168 83331460 129163763 166662920 258327526 333325840 516655052 645818815 1033310104 1291637630 2066620208 2583275260 5166550520 10333101040