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2201201300 = 2252195321859
BaseRepresentation
bin1000001100110011…
…1010101010010100
312200101221121112002
42003030322222110
514002001420200
61002231214432
7105355621334
oct20314725224
95611847462
102201201300
11a2a580131
12515217418
1329106239c
1416c4b10c4
15cd3a7bd5
hex8333aa94

2201201300 has 72 divisors (see below), whose sum is σ = 5123109600. Its totient is φ = 818363520.

The previous prime is 2201201291. The next prime is 2201201329. The reversal of 2201201300 is 31021022.

It is a happy number.

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, 89771 + ... + 111629.

It is an arithmetic number, because the mean of its divisors is an integer number (71154300).

Almost surely, 22201201300 is an apocalyptic number.

2201201300 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 2201201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561554800).

2201201300 is an abundant number, since it is smaller than the sum of its proper divisors (2921908300).

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

2201201300 is a wasteful number, since it uses less digits than its factorization.

2201201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21945 (or 21938 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2201201300 is about 46916.9617515883. The cubic root of 2201201300 is about 1300.8281311257.

Adding to 2201201300 its reverse (31021022), we get a palindrome (2232222322).

The spelling of 2201201300 in words is "two billion, two hundred one million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 53 76 95 100 106 190 212 265 380 475 530 950 1007 1060 1325 1900 2014 2650 4028 5035 5300 10070 20140 21859 25175 43718 50350 87436 100700 109295 218590 415321 437180 546475 830642 1092950 1158527 1661284 2076605 2185900 2317054 4153210 4634108 5792635 8306420 10383025 11585270 20766050 22012013 23170540 28963175 41532100 44024026 57926350 88048052 110060065 115852700 220120130 440240260 550300325 1100600650 2201201300