Search a number
-
+
3101101020 = 2232553325063
BaseRepresentation
bin1011100011010111…
…0000101111011100
322000010021020212100
42320311300233130
522322340213040
61231415205100
7136563631563
oct27065605734
98003236770
103101101020
111351544106
12726676790
133a5622224
14215c02bda
151323b4b30
hexb8d70bdc

3101101020 has 72 divisors (see below), whose sum is σ = 9584186976. Its totient is φ = 811354752.

The previous prime is 3101101007. The next prime is 3101101049. The reversal of 3101101020 is 201011013.

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

It is a junction number, because it is equal to n+sod(n) for n = 3101100993 and 3101101011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152992 + ... + 172071.

It is an arithmetic number, because the mean of its divisors is an integer number (133113708).

Almost surely, 23101101020 is an apocalyptic number.

3101101020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3101101020 is an abundant number, since it is smaller than the sum of its proper divisors (6483085956).

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

3101101020 is a wasteful number, since it uses less digits than its factorization.

3101101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325131 (or 325126 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 3101101020 is about 55687.5302020120. The cubic root of 3101101020 is about 1458.2723387242.

Adding to 3101101020 its reverse (201011013), we get a palindrome (3302112033).

The spelling of 3101101020 in words is "three billion, one hundred one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 325063 650126 975189 1300252 1625315 1950378 2925567 3250630 3900756 4875945 5851134 6501260 9751890 11702268 14627835 17228339 19503780 29255670 34456678 51685017 58511340 68913356 86141695 103370034 155055051 172283390 206740068 258425085 310110102 344566780 516850170 620220204 775275255 1033700340 1550550510 3101101020