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231021402012 = 2232173776913267
BaseRepresentation
bin1101011100100111110…
…0101101011110011100
3211002022021112012000200
43113021330231132130
512241112434331022
6254044010223500
722455632342202
oct3271174553634
9732267465020
10231021402012
1189a80616725
1238934724b90
1318a291a5a5b
14b278049072
156021aaabac
hex35c9f2d79c

231021402012 has 144 divisors (see below), whose sum is σ = 635907111840. Its totient is φ = 70421446656.

The previous prime is 231021402011. The next prime is 231021402041. The reversal of 231021402012 is 210204120132.

It is a happy number.

231021402012 is a `hidden beast` number, since 231 + 0 + 21 + 402 + 0 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231021402011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17406603 + ... + 17419869.

It is an arithmetic number, because the mean of its divisors is an integer number (4416021610).

Almost surely, 2231021402012 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 231021402012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317953555920).

231021402012 is an abundant number, since it is smaller than the sum of its proper divisors (404885709828).

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

231021402012 is a wasteful number, since it uses less digits than its factorization.

231021402012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14100 (or 14095 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 231021402012 its reverse (210204120132), we get a palindrome (441225522144).

The spelling of 231021402012 in words is "two hundred thirty-one billion, twenty-one million, four hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 612 629 666 769 1258 1332 1538 1887 2307 2516 3076 3774 4614 5661 6921 7548 9228 11322 13073 13267 13842 22644 26146 26534 27684 28453 39219 39801 52292 53068 56906 78438 79602 85359 113812 117657 119403 156876 159204 170718 225539 235314 238806 256077 341436 451078 470628 477612 483701 490879 512154 676617 902156 967402 981758 1024308 1353234 1451103 1472637 1934804 1963516 2029851 2706468 2902206 2945274 4059702 4353309 4417911 5804412 5890548 8119404 8344943 8706618 8835822 10202323 16689886 17413236 17671644 20404646 25034829 30606969 33379772 40809292 50069658 61213938 75104487 91820907 100139316 122427876 150208974 173439491 183641814 300417948 346878982 367283628 377485951 520318473 693757964 754971902 1040636946 1132457853 1509943804 1560955419 2081273892 2264915706 3121910838 3397373559 4529831412 6243821676 6417261167 6794747118 12834522334 13589494236 19251783501 25669044668 38503567002 57755350503 77007134004 115510701006 231021402012