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10022022100 = 2252543718433
BaseRepresentation
bin10010101010101101…
…11110101111010100
3221212110012110202201
421111112332233110
5131011114201400
64334250414244
7503232532216
oct112526765724
927773173681
1010022022100
1142831965a2
121b38431384
13c3942b0bc
146b10565b6
153d9cad06a
hex2555bebd4

10022022100 has 36 divisors (see below), whose sum is σ = 21752967964. Its totient is φ = 4007854080.

The previous prime is 10022022097. The next prime is 10022022103. The reversal of 10022022100 is 122022001.

It is an interprime number because it is at equal distance from previous prime (10022022097) and next prime (10022022103).

It can be written as a sum of positive squares in 6 ways, for example, as 61183684 + 9960838416 = 7822^2 + 99804^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022022103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534484 + ... + 552916.

Almost surely, 210022022100 is an apocalyptic number.

10022022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022022100 is an abundant number, since it is smaller than the sum of its proper divisors (11730945864).

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

10022022100 is a wasteful number, since it uses less digits than its factorization.

10022022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23884 (or 23877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10022022100 its reverse (122022001), we get a palindrome (10144044101).

Subtracting from 10022022100 its reverse (122022001), we obtain a palindrome (9900000099).

The spelling of 10022022100 in words is "ten billion, twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5437 10874 18433 21748 27185 36866 54370 73732 92165 108740 135925 184330 271850 368660 460825 543700 921650 1843300 100220221 200440442 400880884 501101105 1002202210 2004404420 2505505525 5011011050 10022022100