Search a number
-
+
2010210101200 = 245276411120019
BaseRepresentation
bin11101010000001001110…
…110111110011111010000
321010011200222221201202101
4131100021312332133100
5230413402241214300
64135251110530144
7265142610634660
oct35201166763720
97104628851671
102010210101200
11705586217a54
12285713366954
1311773c934782
146d41a8a41a0
153745453cb6a
hex1d409dbe7d0

2010210101200 has 120 divisors (see below), whose sum is σ = 5528078233920. Its totient is φ = 688139059200.

The previous prime is 2010210101197. The next prime is 2010210101219. The reversal of 2010210101200 is 21010120102.

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 23 ways as a sum of consecutive naturals, for example, 1234791 + ... + 2354809.

It is an arithmetic number, because the mean of its divisors is an integer number (46067318616).

Almost surely, 22010210101200 is an apocalyptic number.

2010210101200 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 2010210101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764039116960).

2010210101200 is an abundant number, since it is smaller than the sum of its proper divisors (3517868132720).

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

2010210101200 is a wasteful number, since it uses less digits than its factorization.

2010210101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120685 (or 1120674 counting only the distinct ones).

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

Adding to 2010210101200 its reverse (21010120102), we get a palindrome (2031220221302).

The spelling of 2010210101200 in words is "two trillion, ten billion, two hundred ten million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 641 700 1282 1400 2564 2800 3205 4487 5128 6410 8974 10256 12820 16025 17948 22435 25640 32050 35896 44870 51280 64100 71792 89740 112175 128200 179480 224350 256400 358960 448700 897400 1120019 1794800 2240038 4480076 5600095 7840133 8960152 11200190 15680266 17920304 22400380 28000475 31360532 39200665 44800760 56000950 62721064 78401330 89601520 112001900 125442128 156802660 196003325 224003800 313605320 392006650 448007600 627210640 717932179 784013300 1435864358 1568026600 2871728716 3136053200 3589660895 5025525253 5743457432 7179321790 10051050506 11486914864 14358643580 17948304475 20102101012 25127626265 28717287160 35896608950 40204202024 50255252530 57434574320 71793217900 80408404048 100510505060 125638131325 143586435800 201021010120 251276262650 287172871600 402042020240 502552525300 1005105050600 2010210101200