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3421320100 = 22521110330197
BaseRepresentation
bin1100101111101101…
…0011001110100100
322211102211001212021
43023323103032210
524001324220400
61323254432524
7150532512112
oct31373231644
98742731767
103421320100
1114a6278480
127b5962744
13426a7c083
1424655aab2
1515056971a
hexcbed33a4

3421320100 has 72 divisors (see below), whose sum is σ = 8178101568. Its totient is φ = 1231996800.

The previous prime is 3421320073. The next prime is 3421320103. The reversal of 3421320100 is 10231243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3421320103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98202 + ... + 128398.

It is an arithmetic number, because the mean of its divisors is an integer number (113584744).

Almost surely, 23421320100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089050784).

3421320100 is an abundant number, since it is smaller than the sum of its proper divisors (4756781468).

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

3421320100 is a wasteful number, since it uses less digits than its factorization.

3421320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30325 (or 30318 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3421320100 is about 58492.0515967768. The cubic root of 3421320100 is about 1506.8310807038.

Adding to 3421320100 its reverse (10231243), we get a palindrome (3431551343).

The spelling of 3421320100 in words is "three billion, four hundred twenty-one million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 2060 2266 2575 4532 5150 5665 10300 11330 22660 28325 30197 56650 60394 113300 120788 150985 301970 332167 603940 664334 754925 1328668 1509850 1660835 3019700 3110291 3321670 6220582 6643340 8304175 12441164 15551455 16608350 31102910 33216700 34213201 62205820 68426402 77757275 136852804 155514550 171066005 311029100 342132010 684264020 855330025 1710660050 3421320100