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431022012 = 2231729411777
BaseRepresentation
bin11001101100001…
…101111110111100
31010001001012001020
4121230031332330
51340320201022
6110434144140
713452424641
oct3154157674
91101035036
10431022012
11201334243
12100422050
136b3b3815
144135bdc8
1527c9035c
hex19b0dfbc

431022012 has 96 divisors (see below), whose sum is σ = 1129101120. Its totient is φ = 127303680.

The previous prime is 431021959. The next prime is 431022017. The reversal of 431022012 is 210220134.

It is a junction number, because it is equal to n+sod(n) for n = 431021982 and 431022000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431022017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241668 + ... + 243444.

It is an arithmetic number, because the mean of its divisors is an integer number (11761470).

Almost surely, 2431022012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564550560).

431022012 is an abundant number, since it is smaller than the sum of its proper divisors (698079108).

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

431022012 is a wasteful number, since it uses less digits than its factorization.

431022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 431022012 is about 20761.0696256238. The cubic root of 431022012 is about 755.3817416624.

Adding to 431022012 its reverse (210220134), we get a palindrome (641242146).

The spelling of 431022012 in words is "four hundred thirty-one million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 29 34 41 51 58 68 82 87 102 116 123 164 174 204 246 348 492 493 697 986 1189 1394 1479 1777 1972 2091 2378 2788 2958 3554 3567 4182 4756 5331 5916 7108 7134 8364 10662 14268 20213 21324 30209 40426 51533 60418 60639 72857 80852 90627 103066 120836 121278 145714 154599 181254 206132 218571 242556 291428 309198 362508 437142 618396 874284 876061 1238569 1752122 2112853 2477138 2628183 3504244 3715707 4225706 4954276 5256366 6338559 7431414 8451412 10512732 12677118 14862828 25354236 35918501 71837002 107755503 143674004 215511006 431022012