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203114420232 = 233311093177901
BaseRepresentation
bin1011110100101010010…
…0000001100000001000
3201102021101121121212220
42331022210001200020
511311434242421412
6233150502534040
720450236041243
oct2751244014010
9642241547786
10203114420232
117915a882219
1233446737320
13161cc625999
149b8b99025a
15543baba68c
hex2f4a901808

203114420232 has 128 divisors (see below), whose sum is σ = 530710963200. Its totient is φ = 64706688000.

The previous prime is 203114420221. The next prime is 203114420251. The reversal of 203114420232 is 232024411302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25703482 + ... + 25711382.

It is an arithmetic number, because the mean of its divisors is an integer number (4146179400).

Almost surely, 2203114420232 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 203114420232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265355481600).

203114420232 is an abundant number, since it is smaller than the sum of its proper divisors (327596542968).

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

203114420232 is a wasteful number, since it uses less digits than its factorization.

203114420232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8367 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 203114420232 its reverse (232024411302), we get a palindrome (435138831534).

The spelling of 203114420232 in words is "two hundred three billion, one hundred fourteen million, four hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 109 124 186 218 248 317 327 372 436 634 654 744 872 951 1268 1308 1902 2536 2616 3379 3804 6758 7608 7901 9827 10137 13516 15802 19654 20274 23703 27032 29481 31604 34553 39308 40548 47406 58962 63208 69106 78616 81096 94812 103659 117924 138212 189624 207318 235848 244931 276424 414636 489862 734793 829272 861209 979724 1071143 1469586 1722418 1959448 2142286 2504617 2583627 2939172 3213429 3444836 4284572 5009234 5167254 5878344 6426858 6889672 7513851 8569144 10018468 10334508 12853716 15027702 20036936 20669016 25707432 26697479 30055404 53394958 60110808 77643127 80092437 106789916 155286254 160184874 213579832 232929381 273003253 310572508 320369748 465858762 546006506 621145016 640739496 819009759 931717524 1092013012 1638019518 1863435048 2184026024 3276039036 6552078072 8463100843 16926201686 25389302529 33852403372 50778605058 67704806744 101557210116 203114420232