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203223130001232 = 2431110122131722013
BaseRepresentation
bin101110001101010010010010…
…011110010100111101010000
3222122112221102100100211021020
4232031102102132110331100
5203114101432240014412
62000115230031155440
760543246416302545
oct5615222236247520
9878487370324236
10203223130001232
1159831499962520
121a962007075b80
138951b220b62c3
1438280a288abcc
15187647769618c
hexb8d492794f50

203223130001232 has 160 divisors (see below), whose sum is σ = 578651918656896. Its totient is φ = 60945448704000.

The previous prime is 203223130001167. The next prime is 203223130001249. The reversal of 203223130001232 is 232100031322302.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117153858 + ... + 118875870.

Almost surely, 2203223130001232 is an apocalyptic number.

203223130001232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203223130001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289325959328448).

203223130001232 is an abundant number, since it is smaller than the sum of its proper divisors (375428788655664).

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

203223130001232 is a wasteful number, since it uses less digits than its factorization.

203223130001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724349 (or 1724343 counting only the distinct ones).

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

Adding to 203223130001232 its reverse (232100031322302), we get a palindrome (435323161323534).

The spelling of 203223130001232 in words is "two hundred three trillion, two hundred twenty-three billion, one hundred thirty million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2213 2222 2424 3333 4426 4444 4848 6639 6666 8852 8888 13278 13332 17704 17776 24343 26556 26664 35408 48686 53112 53328 73029 97372 106224 146058 194744 223513 292116 389488 447026 584232 670539 894052 1168464 1341078 1722013 1788104 2458643 2682156 3444026 3576208 4917286 5166039 5364312 6888052 7375929 9834572 10332078 10728624 13776104 14751858 18942143 19669144 20664156 27552208 29503716 37884286 39338288 41328312 56826429 59007432 75768572 82656624 113652858 118014864 151537144 173923313 227305716 303074288 347846626 454611432 521769939 695693252 909222864 1043539878 1391386504 1913156443 2087079756 2782773008 3810814769 3826312886 4174159512 5739469329 7621629538 7652625772 8348319024 11432444307 11478938658 15243259076 15305251544 22864888614 22957877316 30486518152 30610503088 41918962459 45729777228 45915754632 60973036304 83837924918 91459554456 91831509264 125756887377 167675849836 182919108912 251513774754 335351699672 384892291669 503027549508 670703399344 769784583338 1006055099016 1154676875007 1539569166676 2012110198032 2309353750014 3079138333352 4233815208359 4618707500028 6158276666704 8467630416718 9237415000056 12701445625077 16935260833436 18474830000112 25402891250154 33870521666872 50805782500308 67741043333744 101611565000616 203223130001232