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203332334201442 = 23461587180119463
BaseRepresentation
bin101110001110110111111111…
…100011010010101001100010
3222122221101021222022222120000
4232032313333203102221202
5203122344110023421232
62000241330152200430
760554163535552155
oct5616677743225142
9878841258288500
10203332334201442
1159873838880456
121a97b203399116
13895c206771054
14382d4a20b9c9c
15187921999627c
hexb8edff8d2a62

203332334201442 has 160 divisors (see below), whose sum is σ = 464154454963584. Its totient is φ = 66512397024000.

The previous prime is 203332334201417. The next prime is 203332334201489. The reversal of 203332334201442 is 244102433233302.

203332334201442 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 3 + 2 + 3 + 3 + 4 + 201 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 203332334201397 and 203332334201406.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10447112203 + ... + 10447131665.

Almost surely, 2203332334201442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203332334201442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232077227481792).

203332334201442 is an abundant number, since it is smaller than the sum of its proper divisors (260822120762142).

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

203332334201442 is a wasteful number, since it uses less digits than its factorization.

203332334201442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21926 (or 21917 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 203332334201442 its reverse (244102433233302), we get a palindrome (447434767434744).

The spelling of 203332334201442 in words is "two hundred three trillion, three hundred thirty-two billion, three hundred thirty-four million, two hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 587 1098 1174 1647 1761 1801 3294 3522 3602 4941 5283 5403 9882 10566 10806 15849 16209 19463 31698 32418 35807 38926 47547 48627 58389 71614 95094 97254 107421 109861 116778 145881 175167 214842 219722 291762 322263 329583 350334 525501 644526 659166 966789 988749 1051002 1057187 1187243 1576503 1933578 1977498 2114374 2374486 2900367 2966247 3153006 3171561 3561729 5800734 5932494 6343122 7123458 8898741 9514683 10685187 11424781 17797482 19029366 21370374 22849562 28544049 32055561 34274343 35052863 57088098 64111122 64488407 68548686 70105726 85632147 96166683 102823029 105158589 128976814 171264294 192333366 193465221 205646058 210317178 308469087 315475767 386930442 580395663 616938174 630951534 696911641 925407261 946427301 1160791326 1393823282 1741186989 1850814522 1892854602 2090734923 2138224643 2839281903 3482373978 4181469846 4276449286 5223560967 5678563806 6272204769 6414673929 10447121934 12544409538 12829347858 18816614307 19244021787 20576030581 37633228614 38488043574 41152061162 56449842921 57732065361 61728091743 112899685842 115464130722 123456183486 173196196083 185184275229 346392392166 370368550458 555552825687 1111105651374 1255137865441 1666658477061 2510275730882 3333316954122 3765413596323 7530827192646 11296240788969 22592481577938 33888722366907 67777444733814 101666167100721 203332334201442