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20311302 = 23112101277
BaseRepresentation
bin100110101111…
…0110100000110
31102012220212110
41031132310012
520144430202
62003201450
7334433424
oct115366406
942186773
1020311302
1110513200
126976286
13429202b
1429aa114
151bb326c
hex135ed06

20311302 has 48 divisors (see below), whose sum is σ = 45256176. Its totient is φ = 6072000.

The previous prime is 20311297. The next prime is 20311307.

It is a happy number.

20311302 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (20311297) and next prime (20311307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20311307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73188 + ... + 73464.

It is an arithmetic number, because the mean of its divisors is an integer number (942837).

Almost surely, 220311302 is an apocalyptic number.

20311302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22628088).

20311302 is an abundant number, since it is smaller than the sum of its proper divisors (24944874).

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

20311302 is a wasteful number, since it uses less digits than its factorization.

20311302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

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

The square root of 20311302 is about 4506.8061862033. The cubic root of 20311302 is about 272.8428566037.

It can be divided in two parts, 2031 and 1302, that added together give a palindrome (3333).

The spelling of 20311302 in words is "twenty million, three hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 277 303 363 554 606 726 831 1111 1662 2222 3047 3333 6094 6666 9141 12221 18282 24442 27977 33517 36663 55954 67034 73326 83931 100551 167862 201102 307747 615494 923241 1846482 3385217 6770434 10155651 20311302