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22100001021 = 3272136136821
BaseRepresentation
bin10100100101010000…
…110100000011111101
32010001012001101002100
4110211100310003331
5330230100013041
614052543415313
71411441623600
oct244520640375
963035041070
1022100001021
11941096895a
1243492b4539
1321127960a7
1410d9172337
158952d36b6
hex5254340fd

22100001021 has 36 divisors (see below), whose sum is σ = 37162308924. Its totient is φ = 12618950400.

The previous prime is 22100001017. The next prime is 22100001023. The reversal of 22100001021 is 12010000122.

It can be written as a sum of positive squares in 2 ways, for example, as 5371424100 + 16728576921 = 73290^2 + 129339^2 .

It is not a de Polignac number, because 22100001021 - 22 = 22100001017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22100000994 and 22100001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100001023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 581791 + ... + 618611.

It is an arithmetic number, because the mean of its divisors is an integer number (1032286359).

Almost surely, 222100001021 is an apocalyptic number.

22100001021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22100001021 is a deficient number, since it is larger than the sum of its proper divisors (15062307903).

22100001021 is a wasteful number, since it uses less digits than its factorization.

22100001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38202 (or 38192 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22100001021 its reverse (12010000122), we get a palindrome (34110001143).

The spelling of 22100001021 in words is "twenty-two billion, one hundred million, one thousand, twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1361 4083 9527 12249 28581 36821 66689 85743 110463 200067 257747 331389 600201 773241 1804229 2319723 5412687 16238061 50113381 150340143 350793667 451020429 1052381001 2455555669 3157143003 7366667007 22100001021