Search a number
-
+
20002122100 = 2252509392969
BaseRepresentation
bin10010101000001110…
…000010100101110100
31220121222112002020001
4102220032002211310
5311431020401400
613104442521044
71305446142532
oct225016024564
956558462201
1020002122100
118534749424
123a62806184
131b69c6b80c
14d7a6b9152
157c1039a6a
hex4a8382974

20002122100 has 36 divisors (see below), whose sum is σ = 43489989900. Its totient is φ = 7985109760.

The previous prime is 20002122097. The next prime is 20002122103. The reversal of 20002122100 is 122120002.

It is an interprime number because it is at equal distance from previous prime (20002122097) and next prime (20002122103).

It can be written as a sum of positive squares in 6 ways, for example, as 75411856 + 19926710244 = 8684^2 + 141162^2 .

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 (20002122103) 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, 145585 + ... + 247384.

It is an arithmetic number, because the mean of its divisors is an integer number (1208055275).

Almost surely, 220002122100 is an apocalyptic number.

20002122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002122100 is an abundant number, since it is smaller than the sum of its proper divisors (23487867800).

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

20002122100 is a wasteful number, since it uses less digits than its factorization.

20002122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393492 (or 393485 counting only the distinct ones).

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

Adding to 20002122100 its reverse (122120002), we get a palindrome (20124242102).

The spelling of 20002122100 in words is "twenty billion, two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 509 1018 2036 2545 5090 10180 12725 25450 50900 392969 785938 1571876 1964845 3929690 7859380 9824225 19648450 39296900 200021221 400042442 800084884 1000106105 2000212210 4000424420 5000530525 10001061050 20002122100