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302202100020 = 223523917323873
BaseRepresentation
bin1000110010111001010…
…01100001100100110100
31001220000222120022002010
410121130221201210310
514422402214200040
6350455115444220
730555564316122
oct4313451414464
91056028508063
10302202100020
11107188230677
124a69aa56670
1322661117082
14108ab7a8912
157cdab92e80
hex465ca61934

302202100020 has 96 divisors (see below), whose sum is σ = 883088946432. Its totient is φ = 77071802368.

The previous prime is 302202099973. The next prime is 302202100027. The reversal of 302202100020 is 20001202203.

It is a super-2 number, since 2×3022021000202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 302202099969 and 302202100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302202100027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12646804 + ... + 12670676.

It is an arithmetic number, because the mean of its divisors is an integer number (9198843192).

Almost surely, 2302202100020 is an apocalyptic number.

302202100020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

302202100020 is an abundant number, since it is smaller than the sum of its proper divisors (580886846412).

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

302202100020 is a wasteful number, since it uses less digits than its factorization.

302202100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33081 (or 33079 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 302202100020 its reverse (20001202203), we get a palindrome (322203302223).

The spelling of 302202100020 in words is "three hundred two billion, two hundred two million, one hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 9173 18346 23873 27519 36692 45865 47746 55038 71619 91730 95492 110076 119365 137595 143238 183460 210979 238730 275190 286476 358095 421958 477460 549079 550380 632937 716190 843916 1054895 1098158 1265874 1432380 1647237 2109790 2196316 2531748 2745395 3164685 3294474 4219580 5490790 6329370 6588948 8236185 10981580 12658740 16472370 32944740 218987029 437974058 656961087 875948116 1094935145 1313922174 2189870290 2627844348 3284805435 4379740580 5036701667 6569610870 10073403334 13139221740 15110105001 20146806668 25183508335 30220210002 50367016670 60440420004 75550525005 100734033340 151101050010 302202100020