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20302232130 = 23252967116099
BaseRepresentation
bin10010111010000110…
…110111101001000010
31221101220020020210100
4102322012313221002
5313034332412010
613154323143230
71316052061065
oct227206675102
957356206710
1020302232130
118679098544
123b27214b16
131bb71a770b
14da84ba8dc
157dc56b2c0
hex4ba1b7a42

20302232130 has 96 divisors (see below), whose sum is σ = 55421496000. Its totient is φ = 5149178496.

The previous prime is 20302232129. The next prime is 20302232131. The reversal of 20302232130 is 3123220302.

It is a happy number.

20302232130 is a `hidden beast` number, since 2 + 0 + 302 + 232 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (20302232129) and next prime (20302232131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20302232131) 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 47 ways as a sum of consecutive naturals, for example, 116821 + ... + 232919.

It is an arithmetic number, because the mean of its divisors is an integer number (577307250).

Almost surely, 220302232130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27710748000).

20302232130 is an abundant number, since it is smaller than the sum of its proper divisors (35119263870).

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

20302232130 is a wasteful number, since it uses less digits than its factorization.

20302232130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116208 (or 116205 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20302232130 its reverse (3123220302), we get a palindrome (23425452432).

The spelling of 20302232130 in words is "twenty billion, three hundred two million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 67 87 90 134 145 174 201 261 290 335 402 435 522 603 670 870 1005 1206 1305 1943 2010 2610 3015 3886 5829 6030 9715 11658 17487 19430 29145 34974 58290 87435 116099 174870 232198 348297 580495 696594 1044891 1160990 1741485 2089782 3366871 3482970 5224455 6733742 7778633 10100613 10448910 15557266 16834355 20201226 23335899 30301839 33668710 38893165 46671798 50503065 60603678 70007697 77786330 101006130 116679495 140015394 151509195 225580357 233358990 303018390 350038485 451160714 676741071 700076970 1127901785 1353482142 2030223213 2255803570 3383705355 4060446426 6767410710 10151116065 20302232130