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3413100100 = 225234131001
BaseRepresentation
bin1100101101101111…
…1100011001000100
322210212100110010211
43023123330121010
523442223200400
61322402325204
7150402605104
oct31333743104
98725313124
103413100100
1114a1673693
127b3059804
13425161777
1424541b204
1514e993dba
hexcb6fc644

3413100100 has 18 divisors (see below), whose sum is σ = 7406427434. Its totient is φ = 1365240000.

The previous prime is 3413100091. The next prime is 3413100101. The reversal of 3413100100 is 10013143.

It can be written as a sum of positive squares in 3 ways, for example, as 146748996 + 3266351104 = 12114^2 + 57152^2 .

It is not an unprimeable number, because it can be changed into a prime (3413100101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17065401 + ... + 17065600.

Almost surely, 23413100100 is an apocalyptic number.

It is an amenable number.

3413100100 is an abundant number, since it is smaller than the sum of its proper divisors (3993327334).

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

3413100100 is a wasteful number, since it uses less digits than its factorization.

3413100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34131015 (or 34131008 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3413100100 is about 58421.7433837779. The cubic root of 3413100100 is about 1505.6233515270.

Adding to 3413100100 its reverse (10013143), we get a palindrome (3423113243).

The spelling of 3413100100 in words is "three billion, four hundred thirteen million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 34131001 68262002 136524004 170655005 341310010 682620020 853275025 1706550050 3413100100