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231003212112 = 24326746351713
BaseRepresentation
bin1101011100100011011…
…1010100100101010000
3211002021000022001011200
43113020313110211100
512241043310241422
6254042120311200
722455321622341
oct3271067244520
9732230261150
10231003212112
1189a71322352
123892a612500
1318a254a74ba
14b2758720c8
1560201b62ac
hex35c8dd4950

231003212112 has 120 divisors (see below), whose sum is σ = 657567091584. Its totient is φ = 75686510592.

The previous prime is 231003212081. The next prime is 231003212113. The reversal of 231003212112 is 211212300132.

231003212112 is a `hidden beast` number, since 2 + 310 + 0 + 321 + 21 + 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 (231003212113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4441168 + ... + 4492880.

Almost surely, 2231003212112 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 231003212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328783545792).

231003212112 is an abundant number, since it is smaller than the sum of its proper divisors (426563879472).

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

231003212112 is a wasteful number, since it uses less digits than its factorization.

231003212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52257 (or 52248 counting only the distinct ones).

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

Adding to 231003212112 its reverse (211212300132), we get a palindrome (442215512244).

The spelling of 231003212112 in words is "two hundred thirty-one billion, three million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 463 536 603 804 926 1072 1206 1389 1608 1852 2412 2778 3216 3704 4167 4824 5556 7408 8334 9648 11112 16668 22224 31021 33336 51713 62042 66672 93063 103426 124084 155139 186126 206852 248168 279189 310278 372252 413704 465417 496336 558378 620556 744504 827408 930834 1116756 1241112 1489008 1861668 2233512 2482224 3464771 3723336 4467024 6929542 7446672 10394313 13859084 20788626 23943119 27718168 31182939 41577252 47886238 55436336 62365878 71829357 83154504 95772476 124731756 143658714 166309008 191544952 215488071 249463512 287317428 383089904 430976142 498927024 574634856 861952284 1149269712 1604188973 1723904568 3208377946 3447809136 4812566919 6416755892 9625133838 12833511784 14437700757 19250267676 25667023568 28875401514 38500535352 57750803028 77001070704 115501606056 231003212112