Search a number
-
+
3113100100 = 2252112257281
BaseRepresentation
bin1011100110001110…
…0010001101000100
322000221211212111201
42321203202031010
522333423200400
61232524312244
7140100625405
oct27143421504
98027755451
103113100100
11135829a200
1272a6a2684
133a7c63986
142176479ac
1513348506a
hexb98e2344

3113100100 has 54 divisors (see below), whose sum is σ = 7425415802. Its totient is φ = 1132032000.

The previous prime is 3113100079. The next prime is 3113100103. The reversal of 3113100100 is 10013113.

It can be written as a sum of positive squares in 3 ways, for example, as 352836 + 3112747264 = 594^2 + 55792^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3113100103) 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, 116541 + ... + 140740.

Almost surely, 23113100100 is an apocalyptic number.

It is an amenable number.

3113100100 is an abundant number, since it is smaller than the sum of its proper divisors (4312315702).

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

3113100100 is a wasteful number, since it uses less digits than its factorization.

3113100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257317 (or 257299 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 3113100100 is about 55795.1619766445. The cubic root of 3113100100 is about 1460.1507475546.

Adding to 3113100100 its reverse (10013113), we get a palindrome (3123113213).

It can be divided in two parts, 31 and 13100100, that added together give a palindrome (13100131).

The spelling of 3113100100 in words is "three billion, one hundred thirteen million, one hundred 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 257281 514562 1029124 1286405 2572810 2830091 5145620 5660182 6432025 11320364 12864050 14150455 25728100 28300910 31131001 56601820 62262002 70752275 124524004 141504550 155655005 283009100 311310010 622620020 778275025 1556550050 3113100100