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203131120212 = 223237308949369
BaseRepresentation
bin1011110100101110001…
…1101110101001010100
3201102022120001001221200
42331023203232221110
511312003031321322
6233152300512500
720450531014236
oct2751343565124
9642276031850
10203131120212
1179169249159
123345024b730
1316202c22027
149b8dc9a256
15543d2b88ac
hex2f4b8eea54

203131120212 has 72 divisors (see below), whose sum is σ = 527529311400. Its totient is φ = 65857701888.

The previous prime is 203131120207. The next prime is 203131120219. The reversal of 203131120212 is 212021131302.

203131120212 is a `hidden beast` number, since 20 + 313 + 1 + 120 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82440191376 + 120690928836 = 287124^2 + 347406^2 .

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 (203131120219) 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, 4089864 + ... + 4139232.

Almost surely, 2203131120212 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 203131120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263764655700).

203131120212 is an abundant number, since it is smaller than the sum of its proper divisors (324398191188).

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

203131120212 is a wasteful number, since it uses less digits than its factorization.

203131120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52505 (or 52500 counting only the distinct ones).

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

Adding to 203131120212 its reverse (212021131302), we get a palindrome (415152251514).

The spelling of 203131120212 in words is "two hundred three billion, one hundred thirty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 3089 6178 9267 12356 18534 27801 37068 49369 55602 98738 111204 114293 148107 197476 228586 296214 342879 444321 457172 592428 685758 888642 1028637 1371516 1777284 1826653 2057274 3653306 4114548 5479959 7306612 10959918 16439877 21919836 32879754 65759508 152500841 305001682 457502523 610003364 915005046 1372507569 1830010092 2745015138 5490030276 5642531117 11285062234 16927593351 22570124468 33855186702 50782780053 67710373404 101565560106 203131120212