Search a number
-
+
20110122100 = 2252433464437
BaseRepresentation
bin10010101110101010…
…000001110001110100
31220220111202001101001
4102232222001301310
5312141142401400
613123301413044
71311230134405
oct225652016164
956814661331
1020110122100
11858a704422
123a92a0a184
131b86453743
14d8ab8d9ac
157ca76ea6a
hex4aea81c74

20110122100 has 36 divisors (see below), whose sum is σ = 43739841964. Its totient is φ = 8025454080.

The previous prime is 20110122089. The next prime is 20110122119. The reversal of 20110122100 is 122101102.

It can be written as a sum of positive squares in 6 ways, for example, as 1747684 + 20108374416 = 1322^2 + 141804^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 188919 + ... + 275518.

Almost surely, 220110122100 is an apocalyptic number.

20110122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110122100 is an abundant number, since it is smaller than the sum of its proper divisors (23629719864).

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

20110122100 is a wasteful number, since it uses less digits than its factorization.

20110122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464884 (or 464877 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20110122100 its reverse (122101102), we get a palindrome (20232223202).

The spelling of 20110122100 in words is "twenty billion, one hundred ten million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 433 866 1732 2165 4330 8660 10825 21650 43300 464437 928874 1857748 2322185 4644370 9288740 11610925 23221850 46443700 201101221 402202442 804404884 1005506105 2011012210 4022024420 5027530525 10055061050 20110122100