Search a number
-
+
3100202100 = 2234523471103
BaseRepresentation
bin1011100011001001…
…0101010001110100
322000001120120210000
42320302111101310
522322122431400
61231344031300
7136553166042
oct27062252164
98001516700
103100202100
111350a8a7a6
12726302530
133a5399018
14215a4b392
15132288600
hexb8c95474

3100202100 has 180 divisors, whose sum is σ = 10087729344. Its totient is φ = 823590720.

The previous prime is 3100202099. The next prime is 3100202101. The reversal of 3100202100 is 12020013.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3100202099) and next prime (3100202101).

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×31002021002 = 19222506121688820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3100202101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2810149 + ... + 2811251.

Almost surely, 23100202100 is an apocalyptic number.

3100202100 is a gapful number since it is divisible by the number (30) 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 3100202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043864672).

3100202100 is an abundant number, since it is smaller than the sum of its proper divisors (6987527244).

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

3100202100 is a wasteful number, since it uses less digits than its factorization.

3100202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3100202100 is about 55679.4585102980. The cubic root of 3100202100 is about 1458.1314213701.

Adding to 3100202100 its reverse (12020013), we get a palindrome (3112222113).

The spelling of 3100202100 in words is "three billion, one hundred million, two hundred two thousand, one hundred".