Search a number
-
+
20122001000 = 235322987869
BaseRepresentation
bin10010101111010111…
…010101111001101000
31220221100002120011022
4102233113111321220
5312202213013000
613124404152012
71311433120643
oct225727257150
956840076138
1020122001000
1185963881a2
123a96998608
131b88a5258a
14d8c5a2a5a
157cb819585
hex4af5d5e68

20122001000 has 64 divisors (see below), whose sum is σ = 47291634000. Its totient is φ = 8013561600.

The previous prime is 20122000993. The next prime is 20122001021. The reversal of 20122001000 is 10022102.

It can be written as a sum of positive squares in 8 ways, for example, as 449694436 + 19672306564 = 21206^2 + 140258^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185066 + ... + 272934.

Almost surely, 220122001000 is an apocalyptic number.

20122001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23645817000).

20122001000 is an abundant number, since it is smaller than the sum of its proper divisors (27169633000).

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

20122001000 is a wasteful number, since it uses less digits than its factorization.

20122001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88119 (or 88105 counting only the distinct ones).

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

Adding to 20122001000 its reverse (10022102), we get a palindrome (20132023102).

The spelling of 20122001000 in words is "twenty billion, one hundred twenty-two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 229 250 458 500 916 1000 1145 1832 2290 4580 5725 9160 11450 22900 28625 45800 57250 87869 114500 175738 229000 351476 439345 702952 878690 1757380 2196725 3514760 4393450 8786900 10983625 17573800 20122001 21967250 40244002 43934500 80488004 87869000 100610005 160976008 201220010 402440020 503050025 804880040 1006100050 2012200100 2515250125 4024400200 5030500250 10061000500 20122001000