Search a number
-
+
1030220301 = 3112389101151
BaseRepresentation
bin111101011001111…
…110101000001101
32122210112121120110
4331121332220031
54102214022201
6250121110233
734346504505
oct7531765015
92583477513
101030220301
11489594840
12249028379
1313558b516
149ab76a05
15606a06d6
hex3d67ea0d

1030220301 has 64 divisors (see below), whose sum is σ = 1607454720. Its totient is φ = 580800000.

The previous prime is 1030220291. The next prime is 1030220309.

It is a happy number.

1030220301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1030220301 - 26 = 1030220237 is a prime.

It is a super-2 number, since 2×10302203012 = 2122707737185061202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030220309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6822576 + ... + 6822726.

It is an arithmetic number, because the mean of its divisors is an integer number (25116480).

Almost surely, 21030220301 is an apocalyptic number.

1030220301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1030220301 is a deficient number, since it is larger than the sum of its proper divisors (577234419).

1030220301 is a wasteful number, since it uses less digits than its factorization.

1030220301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1030220301 is about 32097.0450509077. The cubic root of 1030220301 is about 1009.9736296745.

It can be divided in two parts, 10302 and 20301, that added together give a palindrome (30603).

The spelling of 1030220301 in words is "one billion, thirty million, two hundred twenty thousand, three hundred one".

Divisors: 1 3 11 23 33 69 89 101 151 253 267 303 453 759 979 1111 1661 2047 2323 2937 3333 3473 4983 6141 6969 8989 10419 13439 15251 22517 25553 26967 38203 40317 45753 67551 76659 98879 114609 147829 167761 206747 296637 309097 350773 443487 503283 620241 927291 1052319 1357339 2274217 3400067 3858503 4072017 6822651 10200201 11575509 14930729 31218797 44792187 93656391 343406767 1030220301