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3412212100 = 2252112282001
BaseRepresentation
bin1100101101100010…
…0011100110000100
322210210200100000221
43023120203212010
523442011241400
61322331314124
7150362216143
oct31330434604
98723610027
103412212100
1114a1117500
127b28ab944
13424c1051b
1424526975a
1514e86ac1a
hexcb623984

3412212100 has 54 divisors (see below), whose sum is σ = 8138859722. Its totient is φ = 1240800000.

The previous prime is 3412212091. The next prime is 3412212107. The reversal of 3412212100 is 12122143.

It can be written as a sum of positive squares in 3 ways, for example, as 66977856 + 3345234244 = 8184^2 + 57838^2 .

It is not an unprimeable number, because it can be changed into a prime (3412212107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 128901 + ... + 153100.

Almost surely, 23412212100 is an apocalyptic number.

It is an amenable number.

3412212100 is an abundant number, since it is smaller than the sum of its proper divisors (4726647622).

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

3412212100 is a wasteful number, since it uses less digits than its factorization.

3412212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282037 (or 282019 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3412212100 is about 58414.1429792478. The cubic root of 3412212100 is about 1505.4927655041.

Adding to 3412212100 its reverse (12122143), we get a palindrome (3424334243).

It can be divided in two parts, 3412 and 212100, that added together give a palindrome (215512).

The spelling of 3412212100 in words is "three billion, four hundred twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 282001 564002 1128004 1410005 2820010 3102011 5640020 6204022 7050025 12408044 14100050 15510055 28200100 31020110 34122121 62040220 68244242 77550275 136488484 155100550 170610605 310201100 341221210 682442420 853053025 1706106050 3412212100