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10100033330 = 2510139725189
BaseRepresentation
bin10010110100000001…
…00100011100110010
3222001212222212001112
421122000210130302
5131141102031310
64350114433322
7505200603212
oct113200443462
928055885045
1010100033330
114313229592
121b5a592842
13c4c6431aa
146bb562242
153e1a6c705
hex25a024732

10100033330 has 32 divisors (see below), whose sum is σ = 18407038320. Its totient is φ = 3989779200.

The previous prime is 10100033311. The next prime is 10100033341. The reversal of 10100033330 is 3333000101.

It can be written as a sum of positive squares in 8 ways, for example, as 9781803409 + 318229921 = 98903^2 + 17839^2 .

It is a super-2 number, since 2×101000333302 (a number of 21 digits) contains 22 as substring.

10100033330 is a modest number, since divided by 33330 gives 10100 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388376 + ... + 413564.

Almost surely, 210100033330 is an apocalyptic number.

10100033330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100033330 is a deficient number, since it is larger than the sum of its proper divisors (8307004990).

10100033330 is a wasteful number, since it uses less digits than its factorization.

10100033330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25694.

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 10100033330 its reverse (3333000101), we get a palindrome (13433033431).

The spelling of 10100033330 in words is "ten billion, one hundred million, thirty-three thousand, three hundred thirty".

Divisors: 1 2 5 10 101 202 397 505 794 1010 1985 3970 25189 40097 50378 80194 125945 200485 251890 400970 2544089 5088178 10000033 12720445 20000066 25440890 50000165 100000330 1010003333 2020006666 5050016665 10100033330