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203130111222 = 23237714319967
BaseRepresentation
bin1011110100101101111…
…1111000010011110110
3201102022111010210212200
42331023133320103312
511312002302024342
6233152223125330
720450516312463
oct2751337702366
9642274123780
10203130111222
117916871a085
123344ba43846
131620295a9ac
149b8dab666a
15543d16994c
hex2f4b7f84f6

203130111222 has 96 divisors (see below), whose sum is σ = 459486203904. Its totient is φ = 64794945600.

The previous prime is 203130111211. The next prime is 203130111227. The reversal of 203130111222 is 222111031302.

203130111222 is a `hidden beast` number, since 20 + 313 + 0 + 111 + 222 = 666.

203130111222 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 203130111195 and 203130111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203130111227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20375283 + ... + 20385249.

It is an arithmetic number, because the mean of its divisors is an integer number (4786314624).

Almost surely, 2203130111222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203130111222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229743101952).

203130111222 is an abundant number, since it is smaller than the sum of its proper divisors (256356092682).

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

203130111222 is a wasteful number, since it uses less digits than its factorization.

203130111222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10514 (or 10511 counting only the distinct ones).

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

Adding to 203130111222 its reverse (222111031302), we get a palindrome (425241142524).

The spelling of 203130111222 in words is "two hundred three billion, one hundred thirty million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 71 74 111 142 213 222 333 426 431 639 666 862 1278 1293 2586 2627 3879 5254 7758 7881 9967 15762 15947 19934 23643 29901 30601 31894 47286 47841 59802 61202 89703 91803 95682 143523 179406 183606 275409 287046 368779 550818 707657 737558 1106337 1132237 1415314 2122971 2212674 2264474 3319011 3396711 4245942 4295777 6368913 6638022 6793422 8591554 10190133 12737826 12887331 20380266 25774662 26183309 38661993 52366618 77323986 78549927 157099854 158943749 235649781 305000167 317887498 471299562 476831247 610000334 915000501 953662494 1430493741 1830001002 2745001503 2860987482 5490003006 11285006179 22570012358 33855018537 67710037074 101565055611 203130111222