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203102331432 = 233711138454143
BaseRepresentation
bin1011110100100111010…
…1111010001000101000
3201102020112212110011120
42331021311322020220
511311423144101212
6233145351455240
720450031222030
oct2751165721050
9642215773146
10203102331432
1179153a75780
1233442687520
13161c9c82450
149b8a1248c0
15543a9cd88c
hex2f49d7a228

203102331432 has 128 divisors (see below), whose sum is σ = 681742172160. Its totient is φ = 48695857920.

The previous prime is 203102331409. The next prime is 203102331451. The reversal of 203102331432 is 234133201302.

203102331432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2031023314322 (a number of 23 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4203048 + ... + 4251095.

It is an arithmetic number, because the mean of its divisors is an integer number (5326110720).

Almost surely, 2203102331432 is an apocalyptic number.

203102331432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

203102331432 is an abundant number, since it is smaller than the sum of its proper divisors (478639840728).

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

203102331432 is a wasteful number, since it uses less digits than its factorization.

203102331432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8454183 (or 8454179 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 203102331432 its reverse (234133201302), we get a palindrome (437235532734).

The spelling of 203102331432 in words is "two hundred three billion, one hundred two million, three hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 24024 8454143 16908286 25362429 33816572 50724858 59179001 67633144 92995573 101449716 109903859 118358002 177537003 185991146 202899432 219807718 236716004 278986719 329711577 355074006 371982292 439615436 473432008 557973438 650969011 659423154 710148012 743964584 769327013 879230872 1115946876 1208942449 1301938022 1318846308 1420296024 1538654026 1952907033 2231893752 2307981039 2417884898 2603876044 2637692616 3077308052 3626827347 3905814066 4615962078 4835769796 5207752088 6154616104 7253654694 7811628132 8462597143 9231924156 9671539592 14507309388 15623256264 16925194286 18463848312 25387791429 29014618776 33850388572 50775582858 67700777144 101551165716 203102331432