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82302020031 = 37112328155127
BaseRepresentation
bin100110010100110010…
…1010010100110111111
321212102202202210211010
41030221211102212333
52322023304120111
6101450425530303
75642343425160
oct1145145224677
9255382683733
1082302020031
11319a4387880
1213b4a943993
1379b803654a
143daa7b1767
15221a63daa6
hex13299529bf

82302020031 has 64 divisors (see below), whose sum is σ = 143272820736. Its totient is φ = 40749139200.

The previous prime is 82302020029. The next prime is 82302020069. The reversal of 82302020031 is 13002020328.

It is not a de Polignac number, because 82302020031 - 21 = 82302020029 is a prime.

It is a super-2 number, since 2×823020200312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82302020431) 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, 1465390 + ... + 1520516.

It is an arithmetic number, because the mean of its divisors is an integer number (2238637824).

Almost surely, 282302020031 is an apocalyptic number.

82302020031 is a deficient number, since it is larger than the sum of its proper divisors (60970800705).

82302020031 is a wasteful number, since it uses less digits than its factorization.

82302020031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55452.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 82302020031 its reverse (13002020328), we get a palindrome (95304040359).

It can be divided in two parts, 823020 and 20031, that added together give a triangular number (843051 = T1298).

The spelling of 82302020031 in words is "eighty-two billion, three hundred two million, twenty thousand, thirty-one".

Divisors: 1 3 7 11 21 23 33 69 77 161 231 253 281 483 759 843 1771 1967 3091 5313 5901 6463 9273 19389 21637 45241 55127 64911 71093 135723 165381 213279 385889 497651 606397 1157667 1267921 1492953 1819191 3803763 4244779 8875447 12734337 13947131 15490687 26626341 41841393 46472061 97629917 108434809 170397557 292889751 325304427 356285801 511192671 1068857403 1192782899 2494000607 3578348697 3919143811 7482001821 11757431433 27434006677 82302020031