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100022220221 = 71117197938611
BaseRepresentation
bin101110100100111001…
…0011111010110111101
3100120011201110020122212
41131021302133112331
53114321142021341
6113541035150205
710140433562330
oct1351162372675
9316151406585
10100022220221
1139467a32520
12174752a5365
1395802bc5c1
144babda6617
1529061785eb
hex1749c9f5bd

100022220221 has 32 divisors (see below), whose sum is σ = 132108641280. Its totient is φ = 73315756800.

The previous prime is 100022220203. The next prime is 100022220229. The reversal of 100022220221 is 122022220001.

It is not a de Polignac number, because 100022220221 - 214 = 100022203837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100022220196 and 100022220205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022220229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2571206 + ... + 2609816.

It is an arithmetic number, because the mean of its divisors is an integer number (4128395040).

Almost surely, 2100022220221 is an apocalyptic number.

100022220221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100022220221 is a deficient number, since it is larger than the sum of its proper divisors (32086421059).

100022220221 is a wasteful number, since it uses less digits than its factorization.

100022220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40625.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100022220221 its reverse (122022220001), we get a palindrome (222044440222).

The spelling of 100022220221 in words is "one hundred billion, twenty-two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 7 11 17 77 119 187 1309 1979 13853 21769 33643 38611 152383 235501 270277 370073 424721 656387 2590511 2973047 4594709 7220257 50541799 76411169 534878183 840522859 1298989873 5883660013 9092929111 14288888603 100022220221