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202432430130 = 23575696072791
BaseRepresentation
bin1011110010000111101…
…0011100000000110010
3201100111212022221100020
42330201322130000302
511304040200231010
6232555101304310
720424315160020
oct2744172340062
9640455287306
10202432430130
117893a913a37
1233296265096
1316121250c48
149b25183710
1553ebca4470
hex2f21e9c032

202432430130 has 128 divisors (see below), whose sum is σ = 557335019520. Its totient is φ = 46096335360.

The previous prime is 202432430071. The next prime is 202432430131. The reversal of 202432430130 is 31034234202.

202432430130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202432430130.

It is not an unprimeable number, because it can be changed into a prime (202432430131) 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 63 ways as a sum of consecutive naturals, for example, 72529035 + ... + 72531825.

It is an arithmetic number, because the mean of its divisors is an integer number (4354179840).

Almost surely, 2202432430130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202432430130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278667509760).

202432430130 is an abundant number, since it is smaller than the sum of its proper divisors (354902589390).

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

202432430130 is a wasteful number, since it uses less digits than its factorization.

202432430130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 202432430130 its reverse (31034234202), we get a palindrome (233466664332).

The spelling of 202432430130 in words is "two hundred two billion, four hundred thirty-two million, four hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 569 607 1138 1214 1707 1821 2791 2845 3035 3414 3642 3983 4249 5582 5690 6070 7966 8373 8498 8535 9105 11949 12747 13955 16746 17070 18210 19537 19915 21245 23898 25494 27910 39074 39830 41865 42490 58611 59745 63735 83730 97685 117222 119490 127470 195370 293055 345383 586110 690766 1036149 1588079 1694137 1726915 2072298 2417681 3176158 3388274 3453830 4764237 4835362 5082411 5180745 7253043 7940395 8470685 9528474 10164822 10361490 11116553 11858959 12088405 14506086 15880790 16941370 22233106 23717918 23821185 24176810 25412055 33349659 35576877 36265215 47642370 50824110 55582765 59294795 66699318 71153754 72530430 111165530 118589590 166748295 177884385 333496590 355768770 963963953 1927927906 2891891859 4819819765 5783783718 6747747671 9639639530 13495495342 14459459295 20243243013 28918918590 33738738355 40486486026 67477476710 101216215065 202432430130