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130020021 = 321929157167
BaseRepresentation
bin1111011111111…
…11001010110101
3100001122200221100
413233333022311
5231241120041
620522440313
73136103055
oct757771265
9301580840
10130020021
1167435a6a
1237663099
1320c24931
14133a7565
15b6346b6
hex7bff2b5

130020021 has 48 divisors (see below), whose sum is σ = 207043200. Its totient is φ = 78309504.

The previous prime is 130020019. The next prime is 130020031. The reversal of 130020021 is 120020031.

It is a happy number.

It is not a de Polignac number, because 130020021 - 21 = 130020019 is a prime.

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 = 130019985 and 130020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130020031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778480 + ... + 778646.

It is an arithmetic number, because the mean of its divisors is an integer number (4313400).

Almost surely, 2130020021 is an apocalyptic number.

It is an amenable number.

130020021 is a deficient number, since it is larger than the sum of its proper divisors (77023179).

130020021 is a wasteful number, since it uses less digits than its factorization.

130020021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130020021 is about 11402.6321961203. The cubic root of 130020021 is about 506.6057062988.

Adding to 130020021 its reverse (120020031), we get a palindrome (250040052).

It can be divided in two parts, 1300 and 20021, that added together give a triangular number (21321 = T206).

The spelling of 130020021 in words is "one hundred thirty million, twenty thousand, twenty-one".

Divisors: 1 3 9 19 29 57 87 157 167 171 261 471 501 551 1413 1503 1653 2983 3173 4553 4843 4959 8949 9519 13659 14529 26219 26847 28557 40977 43587 78657 86507 92017 235971 259521 276051 498161 760351 778563 828153 1494483 2281053 4483449 6843159 14446669 43340007 130020021