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431114130 = 23354371523
BaseRepresentation
bin11001101100100…
…100011110010010
31010001012212102000
4121230210132102
51340331123010
6110440134430
713453260336
oct3154443622
91101185360
10431114130
11201397477
12100467416
136b416725
14413837c6
1527cac7c0
hex19b24792

431114130 has 128 divisors (see below), whose sum is σ = 1195223040. Its totient is φ = 110496960.

The previous prime is 431114119. The next prime is 431114141. The reversal of 431114130 is 31411134.

It is an interprime number because it is at equal distance from previous prime (431114119) and next prime (431114141).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 824049 + ... + 824571.

It is an arithmetic number, because the mean of its divisors is an integer number (9337680).

Almost surely, 2431114130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431114130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597611520).

431114130 is an abundant number, since it is smaller than the sum of its proper divisors (764108910).

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

431114130 is a wasteful number, since it uses less digits than its factorization.

431114130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 431114130 is about 20763.2880344130. The cubic root of 431114130 is about 755.4355512103.

Adding to 431114130 its reverse (31411134), we get a palindrome (462525264).

The spelling of 431114130 in words is "four hundred thirty-one million, one hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 71 86 90 129 135 142 213 215 258 270 355 387 426 430 523 639 645 710 774 1046 1065 1161 1278 1290 1569 1917 1935 2130 2322 2615 3053 3138 3195 3834 3870 4707 5230 5805 6106 6390 7845 9159 9414 9585 11610 14121 15265 15690 18318 19170 22489 23535 27477 28242 30530 37133 44978 45795 47070 54954 67467 70605 74266 82431 91590 111399 112445 134934 137385 141210 164862 185665 202401 222798 224890 274770 334197 337335 371330 404802 412155 556995 607203 668394 674670 824310 1002591 1012005 1113990 1214406 1596719 1670985 2005182 2024010 3036015 3193438 3341970 4790157 5012955 6072030 7983595 9580314 10025910 14370471 15967190 23950785 28740942 43111413 47901570 71852355 86222826 143704710 215557065 431114130