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100022330330 = 25131745258973
BaseRepresentation
bin101110100100111001…
…0111010001111011010
3100120011201122211200222
41131021302322033122
53114321204032310
6113541041400042
710140434531336
oct1351162721732
9316151584628
10100022330330
1139467aa821a
1217475339022
13958032a760
144babdd47c6
15290619b055
hex1749cba3da

100022330330 has 32 divisors (see below), whose sum is σ = 205294706064. Its totient is φ = 34758890496.

The previous prime is 100022330327. The next prime is 100022330413. The reversal of 100022330330 is 33033220001.

It can be written as a sum of positive squares in 8 ways, for example, as 71410269529 + 28612060801 = 267227^2 + 169151^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 100022330299 and 100022330308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22627277 + ... + 22631696.

Almost surely, 2100022330330 is an apocalyptic number.

100022330330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100022330330 is an abundant number, since it is smaller than the sum of its proper divisors (105272375734).

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

100022330330 is a wasteful number, since it uses less digits than its factorization.

100022330330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45259010.

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 100022330330 its reverse (33033220001), we get a palindrome (133055550331).

The spelling of 100022330330 in words is "one hundred billion, twenty-two million, three hundred thirty thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 45258973 90517946 226294865 452589730 588366649 769402541 1176733298 1538805082 2941833245 3847012705 5883666490 7694025410 10002233033 20004466066 50011165165 100022330330